% Encoding: UTF-8 @preamble{"% DirectionalStats.bib v1.26"} @comment{" Most up-to-date version: https://github.com/egarpor/DirectionalStats.bib DirectionalStats.bib is a curated BibTeX file with the details of virtually all publications related with Directional Statistics published to date. The initial version was compiled by Arthur Pewsey and Eduardo García-Portugués to accompany the review paper 'Recent advances in directional statistics'. The database is sorted by entry types (article, book, etc), then inverse chronological order, then alphabetical order from the author's surname. The fields of each entry are sorted according to the order: title, subtitle, author, year, journal, fjournal, booktitle, booksubtitle, publisher, address, series, volume, number, pages, editor, edition, note, url, doi. To ensure the compatibility of certain characters, add to your LaTeX document preamble \usepackage[T1]{fontenc}. Contribute new entries and report typos or inconsistencies at https://github.com/egarpor/DirectionalStatsBib If you found DirectionalStats.bib useful, you may consider citing the paper: article{Pewsey2021, title = {Recent advances in directional statistics}, author = {Pewsey, A. and Garc\'ia-Portugu\'es, E.}, year = {2021}, journal = {Test}, fjournal = {Test}, volume = {30}, number = {1}, pages = {1--58}, doi = {10.1007/s11749-021-00759-x} } "} @article{Crujeiras2021, title = {Comments on: Recent advances in directional statistics}, author = {Crujeiras, R. M. and Saavedra-Nieves, P.}, year = {2021}, journal = {Test}, fjournal = {Test}, volume = {30}, number = {1}, pages = {64--67}, doi = {10.1007/s11749-021-00761-3} } @article{Cutting2021, title = {Testing uniformity on high-dimensional spheres: The non-null behaviour of the {B}ingham test}, author = {Cutting, C. and Paindaveine, D. and Verdebout, T.}, year = {2021}, journal = {Ann. Inst. Henri Poincar\'e Probab. Stat.}, fjournal = {Annales de l'Institut Henri Poincar\'e Probabilit\'es et Statistiques}, volume = {to appear}, number = {}, pages = {}, doi = {} } @article{Fernandez-de-Marcos2021, title = {Data-driven stabilizations of goodness-of-fit tests}, author = {Fern\'andez{-}de{-}Marcos, A. and Garc\'ia-Portugu\'es, E.}, year = {2021}, journal = {arXiv:2112.01808}, fjournal = {arXiv:2112.01808} } @article{Garcia-Portugues2021a, title = {On the power of {S}obolev tests for isotropy under local rotationally symmetric alternatives}, author = {Garc\'ia-Portugu\'es, E. and Paindaveine, D. and Verdebout, T.}, year = {2021}, journal = {arXiv:2108.09874}, fjournal = {arXiv:2108.09874} } @article{Huckemann2021, title = {Comments on: Recent advances in directional statistics}, author = {Huckemann, S. F.}, year = {2021}, journal = {Test}, fjournal = {Test}, volume = {30}, number = {1}, pages = {71--75}, doi = {10.1007/s11749-021-00764-0} } @article{Li2021, title = {Unscented dual quaternion particle filter for {SE}(3) estimation}, author = {Li, K. and Pfaff, F. and Hanebeck, U. D.}, year = {2021}, journal = {IEEE Contr. Syst. Lett.}, fjournal = {IEEE Control Systems Letters}, volume = {5}, number = {2}, pages = {647--652}, doi = {10.1109/LCSYS.2020.3005066} } @article{Mardia2021, title = {Comments on: Recent advances in directional statistics}, author = {Mardia, K. V.}, year = {2021}, journal = {Test}, fjournal = {Test}, volume = {30}, number = {1}, pages = {59--63}, doi = {10.1007/s11749-021-00760-4} } @article{Mulder2021, title = {Bayesian tests for circular uniformity}, author = {Mulder, K. T. and Klugkist, I.}, year = {2021}, journal = {J. Stat. Plan. Inference}, fjournal = {Journal of Statistical Planning and Inference}, volume = {211}, pages = {315--325}, doi = {10.1016/j.jspi.2020.06.002} } @article{Pewsey2021, title = {Recent advances in directional statistics}, author = {Pewsey, A. and Garc\'ia-Portugu\'es, E.}, year = {2021}, journal = {Test}, fjournal = {Test}, volume = {30}, number = {1}, pages = {1--58}, doi = {10.1007/s11749-021-00759-x} } @article{Pewsey2021a, title = {Rejoinder on: Recent advances in directional statistics}, author = {Pewsey, A. and Garc\'ia-Portugu\'es, E.}, year = {2021}, journal = {Test}, fjournal = {Test}, volume = {30}, number = {1}, pages = {76--82}, doi = {10.1007/s11749-021-00762-2} } @article{Scealy2021, title = {Comments on: Recent advances in directional statistics}, author = {Scealy, J. L.}, year = {2021}, journal = {Test}, fjournal = {Test}, volume = {30}, number = {1}, pages = {68--70}, doi = {10.1007/s11749-021-00763-1} } @article{Thavaneswaran2021, title = {Estimating functions for circular time series models}, author = {Thavaneswaran, A. and Ravishanker, N.}, year = {2021}, journal = {Sankhy\=a, Ser. A}, fjournal = {Sankhy\=a, Series A}, volume = {to appear}, number = {}, pages = {}, doi = {10.1007/s13171-020-00237-w} } @article{Zhang2021, title = {Kernel smoothing, mean shift, and their learning theory with directional data}, author = {Zhang, Y. and Chen, Y.-C.}, year = {2021}, journal = {J. Mach. Learn. Res.}, fjournal = {Journal of Machine Learning Research}, volume = {22}, number = {154}, pages = {1--92} } @article{Zoubouloglou2021, title = {Scaled torus principal component analysis}, author = {Zoubouloglou, P. and Garc\'ia-Portugu\'es, E. and Marron, J. S.}, year = {2021}, journal = {arXiv:2110.04758}, fjournal = {arXiv:2110.04758} } @article{Nunez-Antonio2020, title = {A multivariate projected gamma model for directional data}, author = {{N\'u\~{n}ez-Antonio}, G. and Geneyro, E.}, year = {2020}, journal = {Commun. Stat.: Case Stud. Data Anal. Appl.}, fjournal = {Communications in Statistics: Case Studies, Data Analysis and Applications}, volume = {to appear}, number = {}, pages = {}, doi = {10.1080/03610918.2019.1612910} } @article{Alonso-Pena2020, title = {Nonparametric tests for circular regression}, author = {Alonso-Pena, M. and Ameijeiras-Alonso, J. and Crujeiras, R. M.}, year = {2020}, journal = {J. Stat. Comput. Simul.}, fjournal = {Journal of Statistical Computation and Simulation}, volume = {91}, number = {3}, pages = {1--24}, doi = {10.1080/00949655.2020.1818243} } @article{Ameijeiras-Alonso2020, title = {On optimal tests for circular reflective symmetry about an unknown central direction}, author = {Ameijeiras-Alonso, J. and Ley, C. and Pewsey, A. and Verdebout, T.}, year = {2020}, journal = {Stat. Pap.}, fjournal = {Statistical Papers}, volume = {to appear}, number = {}, pages = {}, doi = {10.1007/s00362-019-01150-7} } @article{Ameijeiras-Alonso2020a, title = {Sine-skewed toroidal distributions and their application in protein bioinformatics}, author = {Ameijeiras-Alonso, J. and Ley, C.}, year = {2020}, journal = {Biostatistics}, fjournal = {Biostatistics}, volume = {to appear}, number = {}, pages = {}, doi = {10.1093/biostatistics/kxaa039} } @article{Bailey2020, title = {Emergence of the wrapped {C}auchy distribution in mixed directional data}, author = {Bailey, J. D. and Codling, E. A.}, year = {2020}, journal = {AStA Adv. Stat. Anal.}, fjournal = {AStA Advances in Statistical Analysis}, volume = {to appear}, number = {}, pages = {}, doi = {10.1007/s10182-020-00380-7} } @article{Beran2020, title = {Estimating the mean direction of strongly dependent circular time series}, author = {Beran, J. and Ghosh, S.}, year = {2020}, journal = {J. Time Ser. Anal.}, fjournal = {Journal of Time Series Analysis}, volume = {41}, pages = {210--228}, doi = {10.1111/jtsa.12500} } @article{Cheng2020, title = {Multiple testing of local maxima for detection of peaks on the (celestial) sphere}, author = {Cheng, D. and Cammarota, V. and Fantaye, Y. and Marinucci, D. and Schwartzman, A.}, year = {2020}, journal = {Bernoulli}, fjournal = {Bernoulli}, volume = {26}, number = {1}, pages = {31--60}, doi = {10.3150/18-bej1068} } @article{Cholaquidis2020, title = {Level set and density estimation on manifolds}, author = {Cholaquidis, A. and Fraiman, R. and Moreno, L.}, year = {2020}, journal = {arXiv:2003.05814}, fjournal = {arXiv:2003.05814} } @article{Cremers2020a, title = {Regression models for cylindrical data in psychology}, author = {Cremers, J. and Pennings, H. J. M. and Ley, C.}, year = {2020}, journal = {Multivar. Behav. Res.}, fjournal = {Multivariate Behavioral Research}, volume = {55}, number = {6}, pages = {910--925}, doi = {10.1080/00273171.2019.1693332} } @article{Cutting2020, title = {On the power of axial tests of uniformity on spheres}, author = {Cutting, C. and Paindaveine, D. and Verdebout, T.}, year = {2020}, journal = {Electron. J. Stat.}, fjournal = {Electronic Journal of Statistics}, volume = {14}, number = {1}, pages = {2123--2154}, doi = {10.1214/20-EJS1716} } @article{Eltzner2019a, title = {Geometrical smeariness -- a new phenomenon of {F}r\'echet means}, author = {Eltzner, B.}, year = {2020}, journal = {arXiv:1908.04233}, fjournal = {arXiv:1908.04233} } @article{Eltzner2020, title = {Testing for uniqueness of estimators}, author = {Eltzner, B.}, year = {2020}, journal = {arXiv:2011.14762}, fjournal = {arXiv:2011.14762} } @article{Esteves2020, title = {Learning {SO}(3) equivariant representations with spherical {CNN}s}, author = {Esteves, C. and Allen-Blanchette, C. and Makadia, A. and Daniilidis, K.}, year = {2020}, journal = {Int. J. Comput. Vis.}, fjournal = {International Journal of Computer Vision}, volume = {128}, pages = {588--600}, doi = {10.1007/s11263-019-01220-1} } @article{Garcia-Portugues2020b, title = {On a projection-based class of uniformity tests on the hypersphere}, author = {Garc\'ia-Portugu\'es, E. and Navarro-Esteban, P. and Cuesta-Albertos, J. A.}, year = {2022}, journal = {Bernoulli}, fjournal = {Bernoulli}, volume = {to appear}, number = {}, pages = {}, doi = {10.3150/21-BEJ1454} } @article{Garcia-Portugues2020, title = {On optimal tests for rotational symmetry against new classes of hyperspherical distributions}, author = {Garc\'ia-Portugu\'es, E. and Paindaveine, D. and Verdebout, T.}, year = {2020}, journal = {J. Am. Stat. Assoc.}, fjournal = {Journal of the American Statistical Association}, volume = {115}, number = {532}, pages = {1873--1887}, doi = {10.1080/01621459.2019.1665527} } @article{Guardiola2020, title = {The spherical-{D}irichlet distribution}, author = {Guardiola, J. H.}, year = {2020}, journal = {J. Stat. Distrib. Appl.}, fjournal = {Journal of Statistical Distributions and Applications}, volume = {7}, number = {1}, pages = {6}, doi = {10.1186/s40488-020-00106-9} } @article{He2020, title = {R-optimal designs for trigonometric regression models}, author = {He, L. and Yue, R.-X.}, year = {2020}, journal = {Stat. Pap.}, fjournal = {Statistical Papers}, volume = {61}, number = {5}, pages = {1997--2013}, doi = {10.1007/s00362-018-1017-x} } @article{Hedley2020, title = {{F}lorence {N}ightingale and {V}ictorian data visualisation}, author = {Hedley, A.}, year = {2020}, journal = {Significance}, fjournal = {Significance}, volume = {17}, number = {2}, pages = {26--30}, doi = {10.1111/1740-9713.01376} } @article{Huckemann2020, title = {Data analysis on nonstandard spaces}, author = {Huckemann, S. F. and Eltzner, B.}, year = {2020}, journal = {WIREs Comp. Stat.}, fjournal = {WIREs Computational Statistics}, volume = {to appear}, number = {}, pages = {e1526}, doi = {10.1002/wics.1526} } @article{Hundrieser2020, title = {Finite sample smeariness of {F}r\'echet means and application to climate}, author = {Hundrieser, S. and Eltzner, B. and Huckemann, S. F.}, year = {2020}, journal = {arXiv:2005.02321}, fjournal = {arXiv:2005.02321} } @article{Jammalamadaka2020, title = {On new {S}obolev tests of uniformity on the circle with extension to the sphere}, author = {Jammalamadaka, S. R. and Meintanis, S. and Verdebout, T.}, year = {2020}, journal = {Bernoulli}, fjournal = {Bernoulli}, volume = {26}, number = {3}, pages = {2226--2252}, doi = {10.3150/19-BEJ1191} } @article{Jona-Lasinio2020, title = {Circ{S}pace{T}ime: an {R} package for spatial and spatio-temporal modelling of circular data}, author = {Jona Lasinio, G. and Santoro, M. and Mastrantonio, G.}, year = {2020}, journal = {J. Stat. Comput. Simul.}, fjournal = {Journal of Statistical Computation and Simulation}, volume = {90}, number = {7}, pages = {1315--1345}, doi = {10.1080/00949655.2020.1725008} } @article{Jupp2020, title = {Measures of goodness of fit obtained by almost-canonical transformations on {R}iemannian manifolds}, author = {Jupp, P. E. and Kume, A.}, year = {2020}, journal = {J. Multivar. Anal.}, fjournal = {Journal of Multivariate Analysis}, volume = {176}, pages = {104579}, doi = {10.1016/j.jmva.2019.104579} } @article{Kato2020, title = {Some properties of a {C}auchy family on the sphere derived from the {M}\"obius transformations}, author = {Kato, S. and McCullagh, P.}, year = {2020}, journal = {Bernoulli}, fjournal = {Bernoulli}, volume = {266}, number = {4}, pages = {3224--3248}, doi = {10.3150/20-BEJ1222} } @article{Kesemen2020, title = {Fuzzy c-means directional clustering (FCMDC) algorithm using trigonometric approximation}, author = {Kesemen, O. and Tezel, {\"O}. and \"Ozkul, E. and Tiryaki, B. K.}, year = {2020}, journal = {Turk. J. Elec. Eng. \& Comp. Sci.}, fjournal = {Turkish Journal of Electrical Engineering \& Computer Sciences}, volume = {28}, pages = {140--152}, doi = {10.3906/elk-1903-118} } @article{Kim2020, title = {Kurtosis test of modality for rotationally symmetric distributions on hyperspheres}, author = {Kim, B. and Schulz, J. and Jung, S.}, year = {2020}, journal = {J. Multivar. Anal.}, fjournal = {Journal of Multivariate Analysis}, volume = {178}, pages = {104603}, doi = {10.1016/j.jmva.2020.104603} } @article{Lang2020, title = {Circular regression trees and forests with an application to probabilistic wind direction forecasting}, author = {Lang, M. N. and Schlosser, L. and Hothorn, T. and Mayr, G. J. and Stauffer, R. and Zeileis, A.}, year = {2020}, journal = {J. R. Stat. Soc. Ser. C Appl. Stat.}, fjournal = {Journal of the Royal Statistical Society, Series C (Applied Statistics)}, volume = {69}, number = {5}, pages = {1357--1374}, doi = {10.1111/rssc.12437} } @article{Larriba2020, title = {Order restricted inference in chronobiology}, author = {Larriba, Y. and Rueda, C. and Fern\'andez, M. A. and Peddada, S. D.}, year = {2020}, journal = {Stat. Med.}, fjournal = {Statistics in Medicine}, volume = {39}, number = {3}, pages = {265--278}, doi = {10.1002/sim.8397} } @article{Lombard2020, title = {Nonparametric {CUSUM} charts for angular data with applications in health science and astrophysics}, author = {Lombard, F. and Hawkins, D. M and Potgieter, C.}, year = {2020}, journal = {REVSTAT}, fjournal = {REVSTAT}, volume = {18}, number = {4}, pages = {461--481} } @article{Mardia2020, title = {Families of discrete circular distributions with some novel applications}, author = {Mardia, K. V. and Sriram, K.}, year = {2020}, journal = {arXiv:2009.05437}, fjournal = {arXiv:2009.05437} } @article{Meilan-Vila2020, title = {Nonparametric multiple regression estimation for circular responses}, author = {Meil\'an-Vila, A. and Francisco-Fern\'andez, M. and Crujeiras, R. M. and Panzera, A.}, year = {2020}, journal = {Test}, fjournal = {Test}, volume = {to appear}, number = {}, pages = {}, doi = {10.1007/s11749-020-00736-w} } @article{Meilan-Vila2020a, title = {Goodness-of-fit tests for parametric regression models with circular response}, author = {Meil\'an-Vila, A. and Francisco-Fern\'andez, M. and Crujeiras, R. M.}, year = {2020}, journal = {arXiv:2008.13473}, fjournal = {arXiv:2008.13473} } @article{Miolane2020, title = {{geomstats}: A {P}ython Package for {R}iemannian Geometry in Machine Learning}, author = {Miolane, N. and Le Brigant, A. and Mathe, J. and Hou, B. and Guigui, N. and Thanwerdas, Y. and Heyder, S. and Peltre, O. and Koep, N. and Zaatiti, H. and Hajri, H. and Cabanes, Y. and Gerald, T. and Chauchat, P. and Shewmake, C. and Kainz, B. and Donnat, C. and Holmes, S. and Pennec, X.}, year = {2020}, journal = {arXiv:2004.04667}, fjournal = {arXiv:2004.04667} } @article{Miyata2020, title = {Estimation of finite mixture models of skew-symmetric circular distributions}, author = {Miyata, Y. and Shiohama, T. and Abe, T.}, year = {2020}, journal = {Metrika}, fjournal = {Metrika}, volume = {83}, pages = {895--922}, doi = {10.1007/s00184-019-00756-z} } @article{Moghimbeygi2020, title = {Spherical logistic distribution}, author = {Moghimbeygi, M. and Golalizadeh, M.}, year = {2020}, journal = {Commun. Math. Stat.}, fjournal = {Communications in Mathematics and Statistics}, volume = {8}, number = {2}, pages = {151--166}, doi = {10.1007/s40304-018-00171-2} } @article{Mulder2020a, title = {Bayesian inference for mixtures of von {M}ises distributions using reversible jump {MCMC} sampler}, author = {Mulder, K. and Jongsma, P. and Klugkist, I.}, year = {2020}, journal = {J. Stat. Comput. Simul.}, fjournal = {Journal of Statistical Computation and Simulation}, volume = {90}, number = {9}, pages = {1539--1556}, doi = {10.1080/00949655.2020.1740997} } @article{Mulder2020, title = {Mixtures of peaked power {B}atschelet distributions for circular data with application to saccade directions}, author = {Mulder, K. and Klugkist, I. and van Renswoude, D. and Visser, I.}, year = {2020}, journal = {J. Math. Psychol.}, fjournal = {Journal of Mathematical Psychology}, volume = {95}, pages = {102309}, doi = {10.1016/j.jmp.2019.102309} } @article{Nodehi2020, title = {Estimation of parameters in multivariate wrapped models for data on a $p$-torus}, author = {Nodehi, A. and Golalizadeh, M. and Maadooliat, M. and Agostinelli, C.}, year = {2020}, journal = {Comput. Stat.}, fjournal = {Computational Statistics}, volume = {to appear}, number = {}, pages = {}, doi = {10.1007/s00180-020-01006-x} } @article{Paindaveine2020, title = {Inference for spherical location under high concentration}, author = {Paindaveine, D. and Verdebout, T.}, year = {2020}, journal = {Ann. Stat.}, fjournal = {The Annals of Statistics}, volume = {48}, number = {5}, pages = {2982--2998}, doi = {10.1214/19-AOS1918} } @article{Paindaveine2020a, title = {Detecting the direction of a signal on high-dimensional spheres: Non-null and {L}e {C}am optimality results}, author = {Paindaveine, D. and Verdebout, T.}, year = {2020}, journal = {Probab. Theory Relat. Fields}, fjournal = {Probability Theory and Related Fields}, volume = {176}, number = {3}, pages = {1165--1216}, doi = {10.1214/aos/1031689019} } @article{Paine2020, title = {Spherical regression models with general covariates and anisotropic errors}, author = {Paine, P. J. and Preston, S. P. and Tsagris, M. and Wood, A. T. A.}, year = {2020}, journal = {Stat. Comput.}, fjournal = {Statistics and Computing}, volume = {30}, number = {1}, pages = {153--165}, doi = {10.1007/s11222-019-09872-2} } @article{Pataky2020, title = {Using directional statistics to test hypotheses regarding rigid body attitude: comparison to univariate and multivariate {C}ardan angle tests}, author = {Pataky, T. C. and Challis, J. H.}, year = {2020}, journal = {J. Biomech.}, fjournal = {Journal of Biomechanics}, volume = {111}, pages = {109976}, doi = {10.1016/j.jbiomech.2020.109976} } @article{Patrangenaru2020, title = {Extrinsic regression and anti-regression on projective shape manifolds}, author = {Patrangenaru, V. and Deng, Y.}, year = {2020}, journal = {Methodol. Comput. Appl. Probab.}, fjournal = {Methodology and Computing in Applied Probability}, volume = {to appear}, number = {}, pages = {}, doi = {10.1007/s11009-020-09789-8} } @article{Porcu2020, title = {30 years of space-time covariance functions}, author = {Porcu, E. and Furrer, R. and Nychka, D.}, year = {2020}, journal = {WIREs Comp. Stat.}, fjournal = {WIREs Computational Statistics}, volume = {to appear}, number = {}, pages = {e1512}, doi = {10.1002/wics.1512} } @article{Reilly2020, title = {Authigenic ferrimagnetic iron sulfide preservation due to nonsteady state diagenesis: a perspective from {P}erseverance {D}rift, northwestern {W}eddell {S}ea}, author = {Reilly, B. T. and McCormick, M. L. and Brachfeld, S. A. and Haley, B. A.}, year = {2020}, journal = {Geochemistry, Geophys. Geosystems}, fjournal = {Geochemistry, Geophysics, Geosystems}, volume = {21}, number = {11}, pages = {e2020GC009380}, doi = {10.1029/2020GC009380} } @article{Rodriguez2020, title = {A {B}ayesian mixture model for clustering circular data}, author = {Rodr\'iguez, C. E. and {N\'u\~{n}ez-Antonio}, G. and Escarela, G.}, year = {2020}, journal = {Comput. Stat. Data Anal.}, fjournal = {Computational Statistics \& Data Analysis}, volume = {143}, pages = {106842}, doi = {10.1016/j.csda.2019.106842} } @article{Saavedra-Nieves2020, title = {Nonparametric estimation of directional highest density regions}, author = {Saavedra-Nieves, P. and Crujeiras, R. M.}, year = {2020}, journal = {arXiv:2009.08915}, fjournal = {arXiv:2009.08915} } @article{Scealy2020, title = {Analogues on the sphere of the affine-equivariant spatial median}, author = {Scealy, J. L. and Wood, A. T. A.}, year = {2020}, journal = {J. Am. Stat. Assoc.}, fjournal = {Journal of the American Statistical Association}, volume = {to appear}, number = {}, pages = {}, doi = {10.1080/01621459.2020.1733582} } @article{Senior2020, title = {Improved protein structure prediction using potentials from deep learning}, author = {Senior, A. W. and Evans, R. and Jumper, J. and Kirkpatrick, J. and Sifre, L. and Green, T. and Qin, C. and \v{Z}\'idek, A. and Nelson, A. W. R. and Bridgland, A. and Penedones, H. and Petersen, S. and Simonyan, K. and Crossan, S. and Kohli, P. and Jones, D. T. and Silver, D. and Kavukcuoglu, K. and Hassabis, D.}, year = {2020}, journal = {Nature}, fjournal = {Nature}, volume = {577}, number = {7792}, pages = {706--710}, doi = {10.1038/s41586-019-1923-7} } @article{Taniguchi2020, title = {Models for circular data from time series spectra}, author = {Taniguchi, M. and Kato, S. and Ogata, H. and Pewsey, A.}, year = {2020}, journal = {J. Time Ser. Anal.}, fjournal = {Journal of Time Series Analysis}, volume = {41}, number = {6}, pages = {809--829}, doi = {10.1111/jtsa.12549} } @article{Telschow2020, title = {Functional inference on rotational curves under sample-specific group actions and identification of human gait}, author = {Telschow, F. J. E. and Pierrynowski, M. R. and Huckemann, S. F.}, year = {2020}, journal = {Scand. J. Stat.}, fjournal = {Scandinavian Journal of Statistics}, volume = {to appear}, number = {}, pages = {}, doi = {10.1111/sjos.12488} } @article{Tsuruta2020, title = {Theoretical properties of bandwidth selectors for kernel density estimation on the circle}, author = {Tsuruta, Y. and Sagae, M.}, year = {2020}, journal = {Ann. Inst. Stat. 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L.}, year = {2021}, publisher = {CRC Press}, address = {Boca Raton}, series = {Monographs on Statistics and Applied Probability}, volume = {169}, doi = {10.1201/9781351189675} } @book{Ley2018, title = {Applied Directional Statistics}, subtitle = {Modern Methods and Case Studies}, year = {2018}, publisher = {CRC Press}, address = {Boca Raton}, series = {Chapman \& Hall/CRC Interdisciplinary Statistics Series}, editor = {Ley, C. and Verdebout, T.}, doi = {10.1201/9781315228570} } @book{Ley2017a, title = {Modern Directional Statistics}, author = {Ley, C. and Verdebout, T.}, year = {2017}, publisher = {CRC Press}, address = {Boca Raton}, series = {Chapman \& Hall/CRC Interdisciplinary Statistics Series}, doi = {10.1201/9781315119472} } @book{Dryden2016, title = {Statistical Shape Analysis with Applications in {R}}, author = {Dryden, I. L. and Mardia, K. V.}, year = {2016}, publisher = {Wiley}, address = {Chichester}, series = {Wiley Series in Probability and Statistics}, edition = {Second}, doi = {10.1002/9781119072492} } @book{Dryden2015, title = {Geometry Driven Statistics}, year = {2015}, publisher = {Wiley}, address = {Chichester}, series = {Wiley Series in Probability and Statistics}, editor = {Dryden, I. L. and Kent, J. T.}, doi = {10.1002/9781118866641} } @book{Dai2013, title = {Approximation Theory and Harmonic Analysis on Spheres and Balls}, author = {Dai, F. and Xu, Y.}, year = {2013}, publisher = {Springer}, address = {New York}, series = {Springer Monographs in Mathematics}, doi = {10.1007/978-1-4614-6660-4} } @book{Pewsey2013, title = {Circular Statistics in {R}}, author = {Pewsey, A. and Neuh\"auser, M. and Ruxton, G. D.}, year = {2013}, publisher = {Oxford University Press}, address = {Oxford} } @book{Hamelryck2012, title = {Bayesian Methods in Structural Bioinformatics}, year = {2012}, publisher = {Springer}, address = {Heidelberg}, series = {Statistics for Biology and Health}, editor = {Hamelryck, T. and Mardia, K. and Ferkinghoff-Borg, J.}, doi = {10.1007/978-3-642-27225-7} } @book{Bhattacharya2012, title = {Nonparametric Inference on Manifolds}, author = {Bhattacharya, A. and Bhattacharya, R.}, year = {2012}, publisher = {Cambridge University Press}, address = {Cambridge}, series = {Institute of Mathematical Statistics Monographs}, volume = {2}, doi = {10.1017/CBO9781139094764} } @book{Wells2011, title = {Advances in Directional and Linear Statistics}, subtitle = {A Festschrift for {S}reenivasa {R}ao {J}ammalamadaka}, year = {2011}, publisher = {Springer}, address = {Heidelberg}, editor = {Wells, M. T. and SenGupta, A.}, doi = {10.1007/978-3-7908-2628-9} } @book{Marinucci2011, title = {Random Fields on the Sphere}, subtitle = {Representation, Limit Theorems and Cosmological Applications}, author = {Marinucci, D. and Peccati, G.}, year = {2011}, publisher = {Cambridge University Press}, address = {Cambridge}, series = {London Mathematical Society Lecture Note Series} } @book{Zar2010, title = {Biostatistical Analysis}, author = {Zar, J. H.}, year = {2010}, publisher = {Prentice Hall}, address = {New York}, edition = {Fifth} } @book{Beran2004, title = {Statistics in Musicology}, author = {Beran, J.}, year = {2004}, publisher = {CRC Press}, address = {Boca Raton}, series = {Chapman \& Hall/CRC Interdisciplinary Statistics Series}, doi = {10.1201/9780203496947} } @book{Chikuse2003, title = {Statistics on Special Manifolds}, author = {Chikuse, Y.}, year = {2003}, publisher = {Springer}, address = {Heidelberg}, series = {Lecture Notes in Statistics}, volume = {174}, doi = {10.1007/978-0-387-21540-2} } @book{Hsu2002, title = {Stochastic Analysis on Manifolds}, author = {Hsu, E. P.}, year = {2002}, publisher = {American Mathematical Society}, address = {Providence}, series = {Graduate Studies in Mathematics}, volume = {38}, doi = {10.1090/gsm/038} } @book{Boogaart2002, title = {Statistics for Individual Crystallographic Orientation Measurements}, author = {van den Boogaart, K. G.}, year = {2002}, publisher = {Shaker}, address = {Aachen}, series = {Industriemathematick und Angewandte Mathematik} } @book{Chirikjian2001, title = {Engineering Applications of Noncommutative Harmonic Analysis}, subtitle = {With Emphasis on Rotation and Motion Groups}, author = {Chirikjian, G. S. and Kyatkin, A.}, year = {2001}, publisher = {CRC Press}, address = {Boca Raton}, doi = {10.1115/1.1421108} } @book{Jammalamadaka2001, title = {Topics in Circular Statistics}, author = {Jammalamadaka, S. R. and SenGupta, A.}, year = {2001}, publisher = {World Scientific}, address = {Singapore}, series = {Series on Multivariate Analysis}, volume = {5}, doi = {10.1142/4031} } @book{McLachlan2000, title = {Finite Mixture Models}, author = {McLachlan, G. and Peel, D.}, year = {2000}, publisher = {Wiley}, address = {New York}, series = {Wiley Series in Probability and Statistics}, doi = {10.1002/0471721182} } @book{Stroock2000, title = {An Introduction to the Analysis of Paths on a {R}iemannian manifold}, author = {Stroock, D. W.}, year = {2000}, publisher = {American Mathematical Society}, address = {Providence}, series = {Mathematical Surveys and Monographs}, volume = {74}, doi = {10.1090/surv/074} } @book{Kendall1999, title = {Shape and Shape Theory}, author = {Kendall, D. G. and Barden, D. and Carne, T. K. and Le, H.}, year = {1999}, publisher = {Wiley}, address = {Chichester}, series = {Wiley Series in Probability and Statistics}, doi = {10.1002/9780470317006} } @book{Mardia1999a, title = {Directional Statistics}, author = {Mardia, K. V. and Jupp, P. E.}, year = {1999}, publisher = {Wiley}, address = {Chichester}, series = {Wiley Series in Probability and Statistics}, doi = {10.1002/9780470316979} } @book{Dryden1998, title = {Statistical Shape Analysis}, author = {Dryden, I. L. and Mardia, K. V.}, year = {1998}, publisher = {Wiley}, address = {Chichester}, series = {Wiley Series in Probability and Statistics} } @book{Small1996, title = {The Statistical Theory of Shape}, author = {Small, C. G.}, year = {1996}, publisher = {Springer}, address = {New York}, series = {Springer Series in Statistics}, doi = {10.1007/978-1-4612-4032-7} } @book{Barnett1994, title = {Outliers in Statistical Data}, author = {Barnett, V. and Lewis, T.}, year = {1994}, publisher = {Wiley}, address = {Chichester}, series = {Wiley Series in Probability and Statistics}, edition = {Third}, doi = {10.2307/2533352} } @book{Fisher1993, title = {Statistical Analysis of Circular Data}, author = {Fisher, N. I.}, year = {1993}, publisher = {Cambridge University Press}, address = {Cambridge}, doi = {10.1017/cbo9780511564345} } @book{Mardia1992, title = {The Art of Statistical Science}, subtitle = {A Tribute to {G}. {S}. {W}atson}, year = {1992}, publisher = {Wiley}, address = {Chichester}, series = {Wiley Series in Probability and Mathematical Statistics}, editor = {Mardia, K. V.} } @book{Emery1989, title = {Stochastic Calculus in Manifolds}, author = {{\'E}mery, Michel}, year = {1989}, publisher = {Springer}, address = {Berlin}, series = {Universitext}, doi = {10.1007/978-3-642-75051-9} } @book{Breckling1989, title = {The Analysis of Directional Time Series: Applications to Wind Speed and Direction}, author = {Breckling, J.}, year = {1989}, publisher = {Springer}, address = {London}, series = {Lecture Notes in Statistics}, volume = {61} } @book{Upton1989, title = {Spatial Data Analysis by Example}, subtitle = {Categorical and Directional Data, Volume 2}, author = {Upton, G. J. G. and Fingleton, B.}, year = {1989}, publisher = {Wiley}, address = {Chichester}, series = {Wiley Series in Probability and Mathematical Statistics} } @book{Fisher1987, title = {Statistical Analysis of Spherical Data}, author = {Fisher, N. I. and Lewis, T. and Embleton, B. 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V.}, year = {1972}, publisher = {Academic Press}, address = {London}, series = {Probability and Mathematical Statistics} } @book{Watson1971, title = {Selected Topics in Statistical Theory}, author = {Watson, G. S.}, year = {1971}, publisher = {Mathematical Association of America}, address = {Washington D. C.}, note = {Notes on lectures given at the 1971 {MAA} Summer Seminar, Williams College, Williamstown, Massachusetts} } @book{Batschelet1965, title = {Statistical Methods for the Analysis of Problems in Animal Orientation and Certain Biological Rhythms}, author = {Batschelet, E.}, year = {1965}, publisher = {American Institute of Biological Sciences}, address = {Washington D. C.} } @incollection{Garcia-Portugues2021, title = {A {C}ram\'er--von {M}ises test of uniformity on the hypersphere}, author = {Garc\'ia-Portugu\'es, E. and Navarro-Esteban, P. and Cuesta-Albertos, J. A.}, year = {2021}, booktitle = {Statistical Learning and Modeling in Data Analysis}, publisher = {Springer}, address = {Cham}, series = {Studies in Classification, Data Analysis and Knowledge Organization}, pages = {107--116}, editor = {Balzano, S. and Porzio, G. C. and Salvatore, R. and Vistocco, D. and Vichi, M.}, doi = {10.1007/978-3-030-69944-4_12} } @incollection{Cholaquidis2020a, title = {Level set and density estimation on manifolds}, author = {Cholaquidis, A. and Fraiman, R. and Moreno, L.}, year = {2020}, booktitle = {Functional and High-Dimensional Statistics and Related Fields}, publisher = {Springer}, address = {Cham}, series = {Contributions to Statistics}, pages = {43--51}, editor = {Aneiros, G. and Horov\'a, I. and Hu\v{s}kov\'a, M. and Vieu, P.}, doi = {10.1007/978-3-030-47756-1_7} } @incollection{Pizer2020, title = {Object shape representation via skeletal models (s-reps) and statistical analysis}, author = {Pizer, S. M. and Hong, J. and Vicory, J. and Liu, Z. and Marron, J. S. and Choi, H.-Y. and Damon, J. and Jung, S. and Paniagua, B. and Schulz, J. and Sharma, A. and Tu, L. and Wang, J.}, year = {2020}, booktitle = {Riemannian Geometric Statistics in Medical Image Analysis}, publisher = {Academic Press}, address = {London}, pages = {233--271}, editor = {Pennec, X. and Sommer, S. and Fletcher, T.}, doi = {10.1016/B978-0-12-814725-2.00014-5} } @incollection{Demni2019, title = {The cosine depth distribution classifier for directional data}, author = {Demni, H. and Messaoud, A. and Porzio, G. C.}, year = {2019}, booktitle = {Applications in Statistical Computing}, booksubtitle = {From Music Data Analysis to Industrial Quality Improvement}, publisher = {Springer}, address = {Cham}, series = {Studies in Classification, Data Analysis, and Knowledge Organization}, pages = {49--60}, editor = {Bauer, N. and Ickstadt, K. and L\"ubke, K. and Szepannek, G. and Trautmann, H. and Vichi, M.}, doi = {10.1007/978-3-030-25147-5_4} } @incollection{Potgieter2019, title = {Sequential monitoring of circular processes related to the von {M}ises distribution}, author = {Potgieter, C. J.}, year = {2019}, booktitle = {Statistical Quality Technologies}, booksubtitle = {Theory and Practice}, publisher = {Springer}, address = {Cham}, series = {ICSA Book Series in Statistics}, pages = {127--150}, editor = {Lio, Y. and Ng, H. K. T. and Tsai, T.-R. and Chen, D.-G.}, doi = {10.1007/978-3-030-20709-0_6} } @incollection{Said2019, title = {Warped {R}iemannian metrics for location-scale models}, author = {Said, S. and Bombrun, L. and Berthoumieu, Y.}, year = {2019}, booktitle = {Geometric Structures of Information}, publisher = {Springer}, address = {Cham}, series = {Signals Communication Technology}, pages = {251--296}, doi = {10.1007/978-3-030-02520-5_10} } @incollection{Abe2018, title = {Cylindrical distributions and their applications to biological data}, author = {Abe, T. and Shimatani, I. K.}, year = {2018}, booktitle = {Applied Directional Statistics}, booksubtitle = {Modern Methods and Case Studies}, publisher = {CRC Press}, address = {Boca Raton}, series = {Chapman \& Hall/CRC Interdisciplinary Statistics Series}, pages = {163--185}, editor = {Ley, C. and Verdebout, T.}, doi = {10.1201/9781315228570-16} } @incollection{Ameijeiras-Alonso2018, title = {Directional statistics for wildfires}, author = {Ameijeiras-Alonso, J. and Crujeiras, R. M. and Rodr\'iguez Casal, A.}, year = {2018}, booktitle = {Applied Directional Statistics}, booksubtitle = {Modern Methods and Case Studies}, publisher = {CRC Press}, address = {Boca Raton}, series = {Chapman \& Hall/CRC Interdisciplinary Statistics Series}, pages = {187--210}, editor = {Ley, C. and Verdebout, T.}, doi = {10.1201/9781315228570-17} } @incollection{Arnold2018a, title = {Orientations of symmetrical objects}, author = {Arnold, R. and Jupp, P.}, year = {2018}, booktitle = {Applied Directional Statistics}, booksubtitle = {Modern Methods and Case Studies}, publisher = {CRC Press}, address = {Boca Raton}, series = {Chapman \& Hall/CRC Interdisciplinary Statistics Series}, pages = {25--44}, editor = {Ley, C. and Verdebout, T.}, doi = {10.1201/9781315228570-10} } @incollection{DiMarzio2018, title = {Nonparametric classification for circular data}, author = {Di Marzio, M. and Fensore, S. and Panzera, A. and Taylor, C. C.}, year = {2018}, booktitle = {Applied Directional Statistics}, booksubtitle = {Modern Methods and Case Studies}, publisher = {CRC Press}, address = {Boca Raton}, series = {Chapman \& Hall/CRC Interdisciplinary Statistics Series}, pages = {241--257}, editor = {Ley, C. and Verdebout, T.}, doi = {10.1201/9781315228570-19} } @incollection{Garcia-Portugues2018a, title = {Smoothing-based tests with directional random variables}, author = {Garc\'ia-Portugu\'es, E. and Crujeiras, R. M. and Gonz\'alez-Manteiga, W.}, year = {2018}, booktitle = {The Mathematics of the Uncertain}, publisher = {Springer}, address = {Cham}, series = {Studies in Systems, Decision and Control}, volume = {142}, pages = {175--184}, editor = {Gil, E. and Gil, E. and Gil, J. and Gil, M. \'A.}, doi = {10.1007/978-3-319-73848-2_17} } @incollection{Garcia-Portugues2018, title = {Toroidal diffusions and protein structure evolution}, author = {Garc\'ia-Portugu\'es, E. and Golden, M. and S{\o}rensen, M. and Mardia, K. V. and Hamelryck, T. and Hein, J.}, year = {2018}, booktitle = {Applied Directional Statistics}, booksubtitle = {Modern Methods and Case Studies}, publisher = {CRC Press}, address = {Boca Raton}, series = {Chapman \& Hall/CRC Interdisciplinary Statistics Series}, pages = {61--93}, editor = {Ley, C. and Verdebout, T.}, doi = {10.1201/9781315228570-12} } @incollection{Jona-Lasinio2018, title = {Spatial and spatio-temporal circular processes with application to wave directions}, author = {Jona-Lasinio, G. and Gelfand, A. E. and Mastrantonio, G.}, year = {2018}, booktitle = {Applied Directional Statistics}, booksubtitle = {Modern Methods and Case Studies}, publisher = {CRC Press}, address = {Boca Raton}, series = {Chapman \& Hall/CRC Interdisciplinary Statistics Series}, pages = {129--162}, editor = {Ley, C. and Verdebout, T.}, doi = {10.1201/9781315228570-15} } @incollection{Klugkist2018, title = {Bayesian analysis of circular data in social and behavioral sciences}, author = {Klugkist, I. and Cremers, J. and Mulder, K.}, year = {2018}, booktitle = {Applied Directional Statistics}, booksubtitle = {Modern Methods and Case Studies}, publisher = {CRC Press}, address = {Boca Raton}, series = {Chapman \& Hall/CRC Interdisciplinary Statistics Series}, pages = {211--240}, editor = {Ley, C. and Verdebout, T.}, doi = {10.1201/9781315228570-18} } @incollection{Lagona2018, title = {Correlated cylindrical data}, author = {Lagona, F.}, year = {2018}, booktitle = {Applied Directional Statistics}, booksubtitle = {Modern Methods and Case Studies}, publisher = {CRC Press}, address = {Boca Raton}, series = {Chapman \& Hall/CRC Interdisciplinary Statistics Series}, pages = {45--59}, editor = {Ley, C. and Verdebout, T.}, doi = {10.1201/9781315228570-11} } @incollection{Mardia2018, title = {Directional statistics in protein bioinformatics}, author = {Mardia, K. V. and Foldager, J. I. and Frellsen, J.}, year = {2018}, booktitle = {Applied Directional Statistics}, booksubtitle = {Modern Methods and Case Studies}, publisher = {CRC Press}, address = {Boca Raton}, series = {Chapman \& Hall/CRC Interdisciplinary Statistics Series}, pages = {1--23}, editor = {Ley, C. and Verdebout, T.}, doi = {10.1201/9781315228570-9} } @incollection{Ngoc2018, title = {Noisy directional data}, author = {Ngoc, T. M. P.}, year = {2018}, booktitle = {Applied Directional Statistics}, booksubtitle = {Modern Methods and Case Studies}, publisher = {CRC Press}, address = {Boca Raton}, series = {Chapman \& Hall/CRC Interdisciplinary Statistics Series}, pages = {95--110}, editor = {Ley, C. and Verdebout, T.}, doi = {10.1201/9781315228570-13} } @incollection{Pewsey2018a, title = {Applied directional statistics with {R}: an overview}, author = {Pewsey, A.}, year = {2018}, booktitle = {Applied Directional Statistics}, booksubtitle = {Modern Methods and Case Studies}, publisher = {CRC Press}, address = {Boca Raton}, series = {Chapman \& Hall/CRC Interdisciplinary Statistics Series}, pages = {277--290}, editor = {Ley, C. and Verdebout, T.}, doi = {10.1201/9781315228570-21} } @incollection{Rivest2018, title = {On modeling of {SE}(3) objects}, author = {Rivest, L.-P. and Oualkacha, K.}, year = {2018}, booktitle = {Applied Directional Statistics}, booksubtitle = {Modern Methods and Case Studies}, publisher = {CRC Press}, address = {Boca Raton}, series = {Chapman \& Hall/CRC Interdisciplinary Statistics Series}, pages = {111--127}, editor = {Ley, C. and Verdebout, T.}, doi = {10.1201/9781315228570-14} } @incollection{Sra2018, title = {Directional statistics in machine learning: a brief review}, author = {Sra, S.}, year = {2018}, booktitle = {Applied Directional Statistics}, booksubtitle = {Modern Methods and Case Studies}, publisher = {CRC Press}, address = {Boca Raton}, series = {Chapman \& Hall/CRC Interdisciplinary Statistics Series}, pages = {259--276}, editor = {Ley, C. and Verdebout, T.}, doi = {10.1201/9781315228570-20} } @incollection{Cutting2017a, title = {Tests of concentration for low-dimensional and high-dimensional directional data}, author = {Cutting, C. and Paindaveine, D. and Verdebout, T.}, year = {2017}, booktitle = {Big and Complex Data Analysis}, booksubtitle = {Methodology and Applications}, publisher = {Springer}, address = {New York}, series = {Contributions to Statistics}, editor = {Ahmed, S. E.}, doi = {10.1007/978-3-319-41573-4_11} } @incollection{Pizer2017, title = {Object Statistics on Curved Manifolds}, author = {Pizer, S. M. and Marron, J. S.}, year = {2017}, booktitle = {Statistical Shape and Deformation Analysis}, booksubtitle = {Methods, Implementation and Applications}, publisher = {Academic Press}, address = {London}, pages = {137--164}, editor = {Zheng, G. and Li, S. and Sz\'ekely, G.}, doi = {10.1016/B978-0-12-810493-4.00007-9} } @incollection{Gatto2015, title = {On two-sample tests for circular data based on spacing-frequencies}, author = {Gatto, R. and Jammalamadaka, S. R.}, year = {2015}, booktitle = {Geometry Driven Statistics}, publisher = {Wiley}, address = {Chichester}, series = {Wiley Series in Probability and Statistics}, pages = {129--145}, editor = {Dryden, I. L. and Kent, J. T.}, doi = {10.1002/9781118866641} } @incollection{Paindaveine2015, title = {Optimal rank-based tests for the location parameter of a rotationally symmetric distribution on the hypersphere}, author = {Paindaveine, D. and Verdebout, T.}, year = {2015}, booktitle = {Mathematical Statistics and Limit Theorems}, booksubtitle = {Festschrift in Honor of {P}aul {D}eheuvels}, publisher = {Springer}, address = {Cham}, pages = {249--269}, editor = {Hallin, M. and Mason, D. and Pfeifer, D. and Steinebach, J.}, doi = {10.1007/978-3-319-12442-1_14} } @incollection{Polsen2015, title = {Parametric circular-circular regression and diagnostic analysis}, author = {Polsen, O. and Taylor, C. C.}, year = {2015}, booktitle = {Geometry Driven Statistics}, publisher = {Wiley}, address = {Chichester}, series = {Wiley Series in Probability and Statistics}, pages = {115--128}, editor = {Dryden, I. L. and Kent, J. T.}, doi = {10.1002/9781118866641.ch5} } @incollection{Rueda2015, title = {Some advances in constrained inference for ordered circular parameters in oscillatory systems}, author = {Rueda, C. and Fern\'andez, M. A. and Barrag\'an, S. and Peddada, S. D.}, year = {2015}, booktitle = {Geometry Driven Statistics}, publisher = {Wiley}, address = {Chichester}, series = {Wiley Series in Probability and Statistics}, pages = {97--114}, editor = {Dryden, I. L. and Kent, J. T.}, doi = {10.1002/9781118866641.ch4} } @incollection{Lagona2013a, title = {Classification of multivariate linear-circular data with nonignorable missing values}, author = {Lagona, F. and Picone, M.}, year = {2013}, booktitle = {Complex Models and Computational Methods in Statistics}, publisher = {Springer}, address = {Milan}, series = {Contributions to Statistics}, pages = {161--173}, editor = {Grigoletto, M. and Lisi, F. and Petrone, S.}, doi = {10.1007/978-88-470-2871-5_13} } @incollection{Pizer2013, title = {Nested sphere statistics of skeletal models}, author = {Pizer, S. M. and Jung, S. and Goswami, D. and Vicory, J. and Zhao, X. and Chaudhuri, R. and Damon, J. N. and Huckemann, S. and Marron, J. S.}, year = {2013}, booktitle = {Innovations for Shape Analysis}, booksubtitle = {Models and Algorithms}, publisher = {Springer}, address = {Berlin}, series = {Mathematics and Visualization}, pages = {93--115}, editor = {Breu{\ss}, M. and Bruckstein, A. and Maragos, P.}, doi = {10.1007/978-3-642-34141-0_5} } @incollection{Frellsen2012, title = {Towards a general probabilistic model of protein structure: the reference ratio method}, author = {Frellsen, J. and Mardia, K. V. and Borg, M. and Ferkinghoff-Borg, J. and Hamelryck, T.}, year = {2012}, booktitle = {Bayesian Methods in Structural Bioinformatics}, publisher = {Springer}, address = {Berlin}, series = {Statistics for Biology and Health}, pages = {125--134}, editor = {Hamelryck, T. and Mardia, K. and Ferkinghoff-Borg, J.}, doi = {10.1007/978-3-642-27225-7_4} } @incollection{Mardia2012, title = {Statistics of bivariate von {M}ises distributions}, author = {Mardia, K. V. and Frellsen, J.}, year = {2012}, booktitle = {Bayesian Methods in Structural Bioinformatics}, publisher = {Springer}, address = {Berlin}, series = {Statistics for Biology and Health}, pages = {159--178}, editor = {Hamelryck, T. and Mardia, K. and Ferkinghoff-Borg, J.}, doi = {10.1007/978-3-642-27225-7_6} } @incollection{Otieno2012, title = {Design and analysis of experiments for directional data}, author = {Otieno, S. B. and Anderson-Cook, C. M.}, year = {2012}, booktitle = {Design and Analysis of Experiments}, booksubtitle = {Volume 3: Special Designs and Applications}, publisher = {Wiley}, address = {Hoboken}, series = {Wiley Series in Probability and Statistics}, pages = {501--532}, editor = {Hinkelmann, K.}, doi = {10.1002/9781118147634.ch15} } @incollection{Morellato2010, title = {Application of circular statistics in plant phenology: a case studies approach}, author = {Morellato, L. P. C. and Alberti, L. F. and Hudson, I. L.}, year = {2010}, booktitle = {Phenological Research}, booksubtitle = {Methods for Environmental and Climate Change Analysis}, publisher = {Springer}, address = {Dordrecht}, pages = {339--359}, editor = {Hudson, I. L. and Keatley, M. R.}, doi = {10.1007/978-90-481-3335-2_16} } @incollection{Arnold2009, title = {Flexible bivariate circular models}, author = {Arnold, B. C. and SenGupta, A.}, year = {2009}, booktitle = {Advances in Multivariate Statistical Methods}, publisher = {World Scientific}, address = {Hackensack}, series = {Statistical Science and Interdisciplinary Research}, volume = {4}, pages = {95--106}, editor = {SenGupta, A.}, doi = {10.1142/9789812838247_0006} } @incollection{Banerjee2009, title = {Text clustering with mixture of von {M}ises-{F}isher distributions}, author = {Banerjee, A. and Dhillon, I. S. and Ghosh, J. and Sra, S.}, year = {2009}, booktitle = {Text Mining}, booksubtitle = {Classification, Clustering, and Applications}, publisher = {CRC Press}, address = {New York}, series = {Chapman \& Hall/CRC Data Mining and Knowledge Discovery Series}, pages = {151--184}, editor = {Srivastava, A. N. and Sahami, M.}, doi = {10.1201/9781420059458} } @incollection{Batchelor2009, title = {Tensors, polynomials and models for directional data}, author = {Batchelor, P. G.}, year = {2009}, booktitle = {Visualization and Processing of Tensor Fields}, booksubtitle = {Advances and Perspectives}, publisher = {Springer}, address = {Berlin}, series = {Mathematics and Visualization}, pages = {21--37}, editor = {Laidlaw, D. and Weickert, J.}, doi = {10.1007/978-3-540-88378-4_2} } @incollection{Villacorta2009, title = {Optimal text space representation of student essays using latent semantic analysis}, author = {Villacorta, A. and Jammalamadaka, S. R.}, year = {2009}, booktitle = {Advances in Multivariate Statistical Methods}, publisher = {World Scientific}, address = {Hackensack}, series = {Statistical Science and Interdisciplinary Research}, volume = {4}, pages = {107--129}, editor = {SenGupta, A.}, doi = {10.1142/9789812838247_0007} } @incollection{Elmore2006, title = {Spherical data depth and a multivariate median}, author = {Elmore, Ryan T. and Hettmansperger, T. P. and Xuan, F.}, year = {2006}, booktitle = {Data depth: Robust Multivariate Analysis, Computational Geometry and Applications}, publisher = {American Mathematical Society}, address = {Providence}, series = {DIMACS Series in Discrete Mathematics and Theoretical Computer Science}, volume = {72}, pages = {87--101}, editor = {Liu, R. Y. and Serfling, R. and Souvaine, D. L.} } @incollection{SenGupta2005, title = {A Simple Classification Rule for Directional Data}, author = {SenGupta, A. and Roy, S.}, year = {2005}, booktitle = {Advances in Ranking and Selection, Multiple Comparisons, and Reliability}, booksubtitle = {Methodology and Applications}, publisher = {Birkh\"auser}, address = {Boston}, series = {Statistics for Industry and Technology}, pages = {81--90}, editor = {Balakrishnan, N. and Nagaraja, H. N. and Kannan, N.}, doi = {10.1007/0-8176-4422-9_5} } @incollection{Tauxe2004, title = {A simplified statistical model for the geomagnetic field and the detection of shallow bias in paleomagnetic inclinations: was the ancient magnetic field dipolar?}, author = {Tauxe, L. and Kent, D. V.}, year = {2004}, booktitle = {Timescales of the Paleomagnetic Field}, publisher = {American Geophysical Union}, address = {Washington}, series = {Geophysical Monograph Series}, volume = {145}, pages = {101--115}, editor = {Channell, J. E. T. and Kent, D. V. and Lowrie, W. and Meert, J. G.}, doi = {10.1029/145GM08} } @incollection{Evans2003, title = {Diffusions on the simplex from {B}rownian motions on hypersurfaces}, author = {Evans, S. N.}, year = {2003}, booktitle = {Statistics and Science: a {F}estschrift for {T}erry {S}peed}, publisher = {Institute of Mathematical Statistics}, address = {Beachwood}, series = {Lecture Notes-Monograph Series}, volume = {40}, pages = {35--48}, editor = {Goldstein, D. R.}, doi = {10.1214/lnms/1215091134} } @incollection{Basu2002, title = {Unimodality in circular data: a {B}ayes test}, author = {Basu, S. and Jammalamadaka, S. R.}, year = {2002}, booktitle = {Advances on Methodological and Applied Aspects of Probability and Statistics}, publisher = {Taylor \& Francis}, address = {London}, pages = {141--158}, editor = {Balakrishnan, N.}, doi = {10.1201/9780203493212-8} } @incollection{Neeman2001, title = {Rank score statistics for spherical data}, author = {Neeman, T. and Chang, T.}, year = {2001}, booktitle = {Algebraic Methods in Statistics and Probability}, booksubtitle = {Papers from the {AMS} Special Session on Algebraic Methods in Statistics held at the {U}niversity of {N}otre {D}ame, {N}otre {D}ame, {IN}, {A}pril 8--9, 2000}, publisher = {American Mathematical Society}, address = {Providence}, series = {Contemporary Mathematics}, volume = {287}, pages = {241--254}, editor = {Viana, M. A. G. and Richards, D. S. P.}, doi = {10.1090/conm/287/04789} } @incollection{Sapiro2001a, title = {Harmonic map flows and image processing}, author = {Sapiro, G.}, year = {2001}, booktitle = {Foundations of Computational Mathematics}, publisher = {Cambridge University Press}, address = {Cambridge}, series = {London Mathematical Society Lecture Note Series}, volume = {284}, pages = {299--322}, editor = {Devore, R. A. and Iserles, A. and S\"uli, E.}, doi = {10.1017/CBO9781107360198.011} } @incollection{Jupp1995, title = {Some applications of directional statistics to astronomy}, author = {Jupp, P. E.}, year = {1995}, booktitle = {New Trends in Probability and Statistics}, publisher = {VSR}, address = {Utrecht}, volume = {3}, pages = {123--133}, editor = {Tiit, M. and Kollo, T. and Niemi, H.} } @incollection{Chikuse1994, title = {Invariant measures on {S}tiefel manifolds with applications to multivariate analysis}, author = {Chikuse, Y.}, year = {1994}, booktitle = {Multivariate Analysis and its Applications}, publisher = {Institute of Mathematical Statistics}, address = {Hayward}, series = {Lecture Notes-Monograph}, volume = {24}, pages = {177--193}, editor = {Anderson, T. W. and Fang, K. T. and Olkin, I.}, doi = {10.1214/lnms/1215463795} } @incollection{Sutherland1994, title = {Kinematics of normal human walking}, author = {Sutherland, D. H. and Kaufman, K. R. and Moitoza, J. R.}, year = {1994}, booktitle = {Human Walking}, publisher = {Williams and Wilkins}, address = {Baltimore}, pages = {23--44}, editor = {Rose, J. and Gamble, J. G.} } @incollection{Fisher1992a, title = {Bootstrap methods for directional data}, author = {Fisher, N. I. and Hall, P.}, year = {1992}, booktitle = {The Art of Statistical Science}, booksubtitle = {A Tribute to {G}. {S}. {W}atson}, publisher = {Wiley}, address = {Chichester}, series = {Wiley Series in Probability and Mathematical Statistics}, pages = {47--63}, editor = {Mardia, K. V.} } @incollection{Ronchetti1992, title = {Optimal robust estimators for the concentration parameter of a von {M}ises-{F}isher distribution}, author = {Ronchetti, E.}, year = {1992}, booktitle = {The Art of Statistical Science}, booksubtitle = {A Tribute to {G}. {S}. {W}atson}, publisher = {Wiley}, address = {Chichester}, series = {Wiley Series in Probability and Mathematical Statistics}, pages = {65--74}, editor = {Mardia, K. V.} } @incollection{Stephens1992, title = {On {W}atson's {ANOVA} for directions}, author = {Stephens, M. A.}, year = {1992}, booktitle = {The Art of Statistical Science}, booksubtitle = {A Tribute to {G}. {S}. {W}atson}, publisher = {Wiley}, address = {Chichester}, series = {Wiley Series in Probability and Mathematical Statistics}, pages = {75--85}, editor = {Mardia, K. V.}, doi = {10.21236/ada253576} } @incollection{Cabrera1991, title = {The statistical analysis of circular data}, author = {Cabrera, J. and Schmidt-Koenig, K. and Watson, G. S.}, year = {1991}, booktitle = {Perspectives in Ethology}, booksubtitle = {Volume 9: Human Understanding and Animal Awareness}, publisher = {Springer}, address = {New York}, pages = {285--306}, editor = {Bateson, P. P. G. and Klopfer, P. H.} } @incollection{Holmquist1985, title = {Correlation measures for circular data}, author = {Holmquist, B.}, year = {1985}, booktitle = {Contributions to Probability and Statistics in Honour of {G}unnar {B}lom}, publisher = {Department of Mathematical Statistics}, address = {Lund University}, pages = {157--168}, editor = {Lanke, J. and Lindgren, G.} } @incollection{Rao1984, title = {Nonparametric methods in directional data analysis}, subtitle = {Nonparametric Methods}, author = {Rao, J. S.}, year = {1984}, booktitle = {Handbook of Statistics 4}, publisher = {Elsevier}, address = {Amsterdam}, pages = {755--770}, editor = {Krishnaiah, P. R. and Sen, P. K.}, doi = {10.1016/s0169-7161(84)04033-5} } @incollection{Watson1983c, title = {Limit theorems on high dimensional spheres and {S}tiefel manifolds}, author = {Watson, G. S.}, year = {1983}, booktitle = {Studies in Econometrics, Time Series and Multivariate Statistics}, publisher = {Academic Press}, address = {New York}, pages = {559--570}, editor = {Karlin, S. and Amemiya, T. and Goodman, L. A.}, doi = {10.1016/B978-0-12-398750-1.50034-6} } @incollection{Watson1982a, title = {The estimation of palaeomagnetic pole position}, author = {Watson, G. S.}, year = {1982}, booktitle = {Stochastics and Probability}, booksubtitle = {Essays in Honour of {C}. {R}. {R}ao}, publisher = {North-Holland}, address = {Amsterdam}, pages = {703--712}, editor = {Kallianpur, G. and Krishnaiah, P. R. and Ghosh, J. K.} } @incollection{Mardia1981a, title = {The evolution of directional models in geosciences since {F}isher}, author = {Mardia, K. V.}, year = {1981}, booktitle = {Down-to-Earth Statistics}, publisher = {Syracuse University}, address = {Syracuse}, pages = {39--46}, editor = {Merriam, D. F.} } @incollection{Watson1982b, title = {Three aspects of the statistics of directions}, author = {Watson, G. S.}, year = {1981}, booktitle = {Papers in Algebra, Analysis and Statistics}, publisher = {American Mathematical Society}, address = {Providence}, series = {Contemporary Mathematics}, volume = {9}, pages = {187--205}, editor = {Lidl, R.} } @incollection{Bingham1980, title = {Distribution on the sphere}, author = {Bingham, C.}, year = {1980}, booktitle = {{R}. {A}. {F}isher: an Appreciation}, publisher = {Springer}, address = {New York}, series = {Lecture Notes in Statistics}, volume = {1}, pages = {171--181}, editor = {Fienberg, S. E. and Hinkley, D. V.}, doi = {10.1007/978-1-4612-6079-0_17} } @incollection{Puri1979, title = {A simple test for goodness-of-fit based on spacings with some efficiency comparisons}, author = {Puri, M. L. and Rao, J. 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D.}, year = {2019}, school = {University of California at Santa Barbara} } @phdthesis{Leguey2018, title = {Directional-Linear Bayesian Networks and Applications in Neuroscience}, author = {Leguey Vitoriano, I.}, year = {2018}, school = {Universidad Polit\'ecnica de Madrid} } @phdthesis{Ameijeiras-Alonso2017, title = {Assessing Simplifying Hypotheses in Density Estimation}, author = {Ameijeiras-Alonso, J.}, year = {2017}, school = {University of Santiago de Compostela} } @phdthesis{Quill2017, title = {Statistical Characteristics of Wind Fields Over Complex Terrain with Applications in Bushfire Modelling}, author = {Quill, R. E.}, year = {2017}, school = {University of New South Wales} } @phdthesis{Darling2016, title = {Bayesian Inference for Dynamic Pose Estimation Using Directional Statistics}, author = {Darling, J. E.}, year = {2016}, school = {Missouri University of Science and Technology} } @phdthesis{Karmaker2016, title = {On Some Circular Distributions Induced by Inverse Stereographic Projection}, author = {Karmaker, S. 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D.}, year = {2014}, school = {North-West University} } @phdthesis{Oliveira2013a, title = {Nonparametric Circular Methods for Density and Regression}, author = {Oliveira, M.}, year = {2013}, school = {University of Santiago de Compostela} } @phdthesis{Wang2013, title = {Space and Space-Time Modeling of Directional Data}, author = {Wang, F.}, year = {2013}, school = {Duke University} } @phdthesis{Carnicero2011, title = {Semi-parametric and Non-parametric Methods for Directional Data}, author = {Carnicero Carrre\~{n}o, J. 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