{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 可视化数据集的分布\n", "单变量或双变量的分布的可视化问题" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 目录\n", "+ 绘制单变量分布图\n", " + 直方图\n", " + 核密度图\n", " + 核密度图的绘制过程\n", " + sns.kdeplot()\n", " + shadow参数\n", " + bw参数\n", " + cut参数\n", " + 拟合参数分布\n", "\n", "\n", "+ 绘制双变量分布图\n", " + 散点图\n", " + 六边形图\n", " + 核密度图\n", " + sns.kdeplot()\n", " + 连续化核密度图\n", " + JointGrid对象\n", "\n", "\n", "+ 可视化数据集的成对关系\n", " + PairGrid对象" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "from scipy import stats, integrate\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "sns.set(color_codes=True)\n", "np.random.seed(sum(map(ord, \"distributions\")))\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 绘制单变量分布图\n", "sns.distplot()函数,默认同时绘制直方图(histogram)和核密度图(KDE)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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BbwJfU0o9rJR6bEa76dP3vgNUKqWOAD8gMxon17cAYYHXTnZjAHftarQ6FDGH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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.random.normal(size=100)\n", "sns.distplot(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 直方图" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ZbexIdEDSH7r713dj3ZPKzK6S9H53//Wys+w2jtXzdmZ2oaTb3f3ysrOUxcymJd0t6RxJ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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.distplot(x, kde=False, rug=True) # kde=False绘制直方图,rug=True为每个观察值添加一个tick" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.distplot(x, kde=False, hist=False, rug=True) # 绘制rugplot,有单独的sns.rugplot()函数" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.distplot(x, bins=20, kde=False, rug=True) # bins参数,设置bin的个数" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 核密度图" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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s11qfn7BPAvAa3iUDq4y0ETPD7fGw/2QzsdGyilQksdlsrCvN5v+VX+BYdQe3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\nJY68rETmZydTkJ1MfnaSzB0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.distplot(x, hist=False, rug=True) # 设置hist=False,绘制核密度图,有单独的sns.kdeplot()函数" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 核密度图的绘制过程" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### 第一步\n", "each observation is first replaced with a normal (Gaussian) curve centered at that value" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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MxxB/6mkIisKeg5hIwFghK4Wur30DQiCA9Ve/D3V6CtFDD7jhpQAj68qli7BqNQiCgN6f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\nEwlRlTHrox+HurAIvnPVGJVJHYw7JhZ6WXftpkFpPhwGFArER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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.random.normal(0, 1, size=30)\n", "bandwidth = 1.06 * x.std() * x.size ** (-1 / 5.)\n", "support = np.linspace(-4, 4, 200)\n", "\n", "kernels = []\n", "for x_i in x:\n", "\n", " kernel = stats.norm(x_i, bandwidth).pdf(support)\n", " kernels.append(kernel)\n", " plt.plot(support, kernel, color=\"r\")\n", "\n", "sns.rugplot(x, color=\".2\", linewidth=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### 第二步\n", "these curves are summed to compute the value of the density at each point in the support grid. The resulting curve is then normalized so that the area under it is equal to 1" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "density = np.sum(kernels, axis=0)\n", "density /= integrate.trapz(density, support)\n", "plt.plot(support, density)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### sns.kdeplot()\n", "相对于sns.distplot()能够设置更多选项" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### shadow参数" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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tvpeO3lFUoROnLF4mQlSS68Jhs3L2RqcM30QJKfoodvR8CwA7ZEqlWASH3UpJ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\n1uuy3fGU5qewuTiTNJdMmRQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.kdeplot(x, shade=True) # 设置shade参数,填充核密度线下方区域" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### bw参数\n", "The bandwidth (``bw``) parameter of the KDE controls how tightly the estimation is fit to the data, much like the bin size in a histogram. \n", "\n", "It corresponds to the width of the kernels we plotted above. \n", "\n", "The default behavior tries to guess a good value using a common reference rule, but it may be helpful to try larger or smaller values." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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j0p7qDVWA2krjB0FD+1Byt6WSu7RmRD6R5C5y0mDUz+7O/ei6PmL7QDBKc2eA1Ut9BOPG\ndL9T7bkDlPocuB2WcSp3eZBJ5A9J7iLnDEQH+caL/8qP9/4Pr7bvGrGvvtEY6bK+tgh/zI/VZM1M\n2zsViqJQW+mhozeUWZ3JnlqwQ9oyIp9Ichc5Z19XHbHUzc0XWneO2Hcg1W9fV1vEYDRAgdWd9fVr\nK0a2ZmzScxd5SJK7yDkNA40AOC0ODvUdZSA61EKpa+zFbjVTW1HAYMyPxzb1lkzasgrjnOYOPzDU\nlpGeu8gnktxFzmkYaMJisnB+9bmZ1wB9/ght3UHWLPMR1SPEk3EK7b6sr7+01EjuLV3GQh/Scxf5\nSJK7yCmxZJyWwHGWFVSx0rccgGP9RiVf12i0ZNbXFNEfMcap++zerN+jstiFSVFozST3dM89NtPw\nhcgZktxFTumP9JPUk5S7yqj1LgPgWKpyr2swbqauqx2W3G3ZJ3erxURFsZOWrgC6rg/ruUvlLvKH\nJHeRU3rDRgIvsvtwW12UOkto8reg6zp1jb047RZqKgroi06/cgeoKnUTisTp80flISaRlyS5i5zS\nG+kHoNBh9NKXFiwhEAvS0N1JR28IdVkhZpNpRm0ZgKWlxiiblk6/PMQk8pIkd5FT+sJGci+yGwtw\nLC0w1kZ9teEwAOtqjO3p5F44g8odjJuqQz13acuI/CHJXeSU3kiqLeMYmdzru4ybqutSC270pyp8\nr23q88oMt3REcjeW2pPKXeQTSe4ip2TaMqkhjkvdRnJvD7bjdlioLjeGMXaFe7CZbdN6iAmgotiF\n2WSMmJEnVEU+mnSBbFVVFeCHwBYgDFytadqRYfv/HvgKkAT+V9O0789RrOIk0Bfpx2qy4rI4AShx\nFmEz2Qhb+9hYU4RJUdB1nc5QN2XOEhRFmdb7WMwmKotdtHYFsJrSi2RLchf5YyqV+2WAXdO0c4Cv\nAbemd6iqagL+FbgAOAe4VlXV4rkIVJwcgrEgBVZ3JmmbFBMeUwmKI8CaZUYLZjDmJ5qIUuYsmdF7\nVZW6CUcTBALG5GTScxf5ZCrJ/TzgUQBN03YCp6d3aJqWBNZrmuYHSlPXk/LnJLSv6wD37P8V+7oO\nzOg6wXgYp8UxcmPIg2LSKasw5pvpDBoLY5fOMLmn++5t3UGsJgtReYhJ5JGpJHcv0D/sdTxVsQNG\ngldV9X3Am8BfgcCsRigWhT8dfZxX23dxf/3vp32NpJ4kHA/jTLVkAHRdp78r1RO3GE+odoWM5D4b\nlTtAa1cQu9kulbvIK1NJ7gPA8CEJplTFnqFp2kOaplUBduDjsxifWAQSyQSt/jYAusM9BGPBaV0n\nkoigo+OyDlXu7b0h/N3GTdSjqQnF2gLtAJS7ymYSNpXFrtR7BGWRbJF3Jr2hCrwAXAL8VlXVs4G9\n6R2qqnqAPwLv1DQtilG1J8e8yjBlZdMbvjaXcjEmyM24TozpWG8zcT2ReT1o7qO2rCLr63YGjORa\n5PZm3uO1Q93oQQ8WxUqDv5GyMg/Ne1tQUNi2Yh3O1A+C6XyevIVGcu/1R3GXOugND8zq53sx/N/l\nilyMKxdjysZUkvtDwIWqqr6Qen2VqqofAtyapt2lquovgWdVVY0Ce4BfTnbBzs7ByQ6ZV2VlnpyL\nCXIzrrFi2tN2EIA1hSs52HeEfc2HqDBVZX3t5sEuAJSEJfMer+1vA0xUu6s5NnCUwy2tHOo+xhJ3\nBf6+GH5iM/o8FXvtNLUPUrncSjgWnrXP92L5v8sFuRhXrsaUjUmTu6ZpOnDNCZvrh+2/C7grq3cV\neaUj2AnAGRWncrDvCMdTbZNsheIhAFypG6rGfDJ9+ApsbC5XOeY/yu8OPUIsGWOFr3ZWYq8ocnGg\noZdlipW4niCRTGA2mWfl2kIsJHmIScxYeiqA5b4aAPpSr7MViocBMjdUW7uDDASirK8t4qwlp6Gg\nsPP46wBsKds007AB42EmAD1pJHTpu4t8IcldzFg6uZc5S3GYHfRF+ic5Y2wnJve69JJ6NUUU2n28\nZel2AFb5lrOheO1Mwwagssh4r2Tc+FaIJiW5i/wwlZ67EBPqjw7gtDixma347N5Mss9W8IS2TN2w\n9VIBPqhexvnV5+C1e6b9ZOqJylOVeyxqJPdIPGKM+RJikZPKXczYQGQQX2oCr0K7l0A8OK0HgtI9\nd6fFSTI1f3uJ106Zb2hoZIW7fMQ4+JmqSFXukdQQd2nLiHwhyV3MSCwZJxAP4k1NvZue8Gs61Xum\nLWN10NzhJxCOs66maNaq9LGUFToxKQqh1NB8Se4iX0hyFzMykFnuzqjc04tnTKfvPtSWcVLXOLSk\n3lyymE2U+hwEgsbjGfKUqsgXktzFjPRHjbHAvlGVe/bJPV25OyyOETdT51pFsYtw2PjtIJqU+WVE\nfpDkLmbEH/UD4LEVjPjbP40pCEIxo3K3K3a0pj7KC52U+ByTnDVzFUVOSA+FjEvlLvKDJHcxI4FU\nK8VtMUadpOdhD8Synz8uFA9hN9to6QoSisRZV1s4e4FOoKLYhZ4wBo5FZCikyBOS3MWMpCcJc1mN\n5O5OrYwUiGdfuQdTM0IemMeWDEBF8VDlHo1Lchf5QZK7mJF0cnenkntB6u/AdNoy8RCu4cl9jm+m\nppUXuYbaMlK5izwhyV3MSGDYCBcYSvLZJvekniQUD+MwO6hv6qOq1E1hwfw8TVTitWPSU20ZGS0j\n8oQkdzEjJ1buNrMNq8mSdc89koiio5OMW4jGkmyYp6odwGwyUegy4o/KOHeRJyS5ixlJV+iuYU+N\nuq1uAqmRL1OVfjo1HDKGJG5YPr9L8ZZ6jFE+wWh4Xt9XiLkiyV3MSDAexGayYjVbM9vcVlfWbZn0\nGPfBQR2ToqDWzM9ImbRyn5HcB8OS3EV+kOQuZiQQC2VGyqS5LS7CiTCJZGKcs0ZLJ/f+AZ0VVR6c\n9vmd067SZzxhG5DKXeQJSe5iRoLxYKbfnpZO9tkMh0y3ZfS4hQ2189uSAagoLkBPKoRickNV5AdJ\n7mLa0iNcXCfM0jidETPBWDq5W9mwfP5upqYZwyEtMlpG5A2Zz11M24mLa6RNJ7mnr2XBxsoq3yxF\nOHVlPgd6wkwUmVtG5Aep3MW0hTPJfeT8L0PJferDITsHjdkla8uKsFrm/8vSZjVjxkJCkrvIE5Lc\nxbSFUy0Mh2Xkw0aZKQiyGA7Z1J16KrW6fJaiy55FsaErcWLx5ILFIMRskeQupi0zRa95ZOVeMI3K\nvX3AqNw31VTMUnTZs5ttKOYkHX3ZT3omRK6R5C6mLZyZf/3Eyj27nnsoEmcgbCTUSt/899vTnFbj\n42jtmd4asELkEknuYtoybZkTKvf09L9TTe5/O9aDbjJ63Sf27+eT22a89/HewQWLQYjZIsldTNt4\nlXu249x3H+5GscSxKlbMJvPsBpkFj8NI7u0DktzF4ifJXUxbunI/sdrOZsGORDLJmwe7MFnjuG3O\nSY+fSz6n8UOpe9C/oHEIMRskuYtpy1Tu5pGVu9lkxmlxZh5MmsiBhl78oRgWa2LUePn55kq1Zbr9\n2c9FL0SukeQupi0cTw+FHN0nNyYPm7xyf+VvHYBOQokueHK3p35I9QUDJJP6gsYixExJchfTFkqM\nPRQSjJuqgXgIXR8/ScbiSV6v76TQZ0ZHx7WAN1PBGAoJkFTi9AzKBGJicZPkLqZtqHIfvWKSy+ok\nnowTS47/xOe+o92EInG2qsbwx4Wv3I3krpgSdPZmNx+9ELlGkruYtqHRMmO3ZQCC8fGT5CsHOgBY\nt8KYbnehk7stldwxJ2jvk+QuFjdJ7mLawokIFsWM1TR6/rmhETNj35wMhGPsqu+kvNBJcaEpdU5u\ntGWkchf5QJK7mLZwPDxm1Q5DY93HGzHzwp42ovEkb91aNdS7z5HkjjlOh1TuYpGT5C6mLZyIjBoG\nmZau3INjPMiU1HWe2tWC1WLiLVuqMnPUnDgv/HxLj5YxW5J0SOUuFjlJ7mLaplK5jzUz5P6jPXT0\nhjhzfTkFTmumL++05kbP3emEjr6JR/oIkeskuYtpSepJo3IfY6QMgHuCyv2p15sBePtp1QCEYmPP\nCz/f0m0Zux0i0QSDQZnbXSxektzFtEQSUWDsMe4wfs+9udPPnsPdrKzysrzSCwytn5orbRmr3ajY\npe8uFrNJl9lTVVUBfghsAcLA1ZqmHRm2/0PA9UAM2Ktp2rVzFKvIIeNNGpaWGS1zQuX+0LNH0IFL\nz1me2ZZO7gtduafbMmaLsVhHR2+Q1UsXbgpiIWZiKpX7ZYBd07RzgK8Bt6Z3qKrqAG4G3qpp2luA\nQlVVL5mTSEVOGVqFaeyEnB7nHhpWuR9tG2DXwS5WLfWyeVVJZntwnLVY55tFMWNSTJjMCQC5qSoW\ntakk9/OARwE0TdsJnD5sXwQ4R9O09JLxFozqXuS5zPqp47Vlxhjn/uCzxi98l+9YhaIome25Urkr\nioLdbEM3xQHolLaMWMSmkty9QP+w13FVVU0AmqbpmqZ1Aqiqeh3g1jTtidkPU+SaiaYeALCarVhN\nQyNh9hzuZv/RHtbXFrG+tmjEsaF4CJvJimWMh6Hmm91sJ67HMJsUqdzFojaV76YBwDPstUnTtMwK\nwqme/L8Da4DLZzc8kasmmjQszWVxEowFicYS/PIxDZOi8KG3rxl1XDAeXvCWTJrDbMcfC1Dic8gN\nVbGoTSW5vwBcAvxWVdWzgb0n7P8xENI07bKpvmlZmWfyg+ZZLsYEuRlXWZkH66DRVikr8o0bo9dZ\nQE+wl6d2t9HVH+by81dz6sYlo46LJML4HN4Zfayz9XnyOFx0h3tYXe7hDa0Dt8eBy2Fd0JhmUy7G\nBLkZVy7GlI2pJPeHgAtVVX0h9fqq1AgZN/A6cBXwnKqqTwM6cLumab+f6IKdnbm1jFlZmSfnYoLc\njCsdU2dfHwCx0Pj/n3bFTiAW4oGX6inx2rlw29JRx+q6TiAWosxZOu2PdTY/T2bdSiwZx+M2OpYH\nDnVSU5H9N3ku/9/lmlyMK1djysakyV3TNB245oTN9dlcQ+Sf8VZhGi59UzWhRPnwhadgt41eHzWa\njJHUk7nTlkndQyjxGbF29IamldyFWGjyEJOYlvQN1YlGuAT8RutmwyoPp64pG/OYXBkpk5Z+kMnr\nNb41pO8uFitJ7mJawomJK/dQJM7RFiMxXnhWxbjXST/BmjuVu/FDpsBt/GCSETNisZLkLqZlovVT\nAR5+6RiRoNHasDoS414nFM+NeWXS0j+sXK50cpfFssXiJMldTMtEc7C39wR57JWmofllJliNKVfm\nlUlL99zjRCny2OVBJrFoSXIX0xKOR1BQsJlGDxP844vHSCR1tq8zZn0MjrMaEwwl/typ3I04IokI\nZYVOegYixOLJSc4SIvfISBcxLem53IdPIwDGI/sv729naambTbWFPNs3/lJ7MLwtM3nlngyHiLS2\nEevsIN7bgx6LocfjRIq9hBUbluJi7NXLMPt8o+KaqnTlHo5HKC/yUt/UR1d/iCUl7mldT4iFIsld\nTMt4qzD9eWcjSV3nou21eGzGHC0TJ/fx2zK6rhM+chj/668R1OqINDbAGAto9Jzw2uzz4Vq/Afcp\nW3Bv3oLZOfWWT/pjCiXClBcaN4I7eiW5i8VHkruYlnA8TKF95HS4vYMRnt/TSlmhgzPXl9MfNaYk\n8scC415naBWmobZMwu+n769PMfD8c8S6Oo2NZjPO1Wuw19ZiK6/AUlyCyW4HsxmPXaG3pZNoZweR\npkbCR48w+PJLDL78EorNhuf0M/Gd/zacK1dN+nGlK/dIPEJ5kfFDQYZDisVIkrvImq7rY67C9NQb\nzcQTOhedXYvZZKLAalS7EyX3oVWYnMT7++j50x/pf/459GgUxe7Ac/Z2PGeehWvdBkw225jXKC7z\nkKgdeppQ13UiTY0Edr/JwIvPZ/44162n5NK/w6WuGzeedM89nOq5A3TKcEixCElyF1mLpZ4qHT5p\nWDKp8+K+4zjtFrZvrASMxS+sJiuBiZJ7PIQlrpN49CmOPvkUeiSCpaSEone8E+95O7JqqaQpioKj\nphZHTS3FF19KSKuj59FHCO7fR3PdAdybt1D2wQ9jqxg9/n6o5x6Wyl0sapLcRdZCY0z3u/9YD72D\nEc7fWoXLIAb7AAAgAElEQVTNOjTNQIHVjX+CnrvzSBsffaobf+DPmL1eSt7/QXzn7UCxzM6XpmIy\n4Vq/Adf6DYSOHKbrgd8Q2LOb4N/2U/Tuiyi55L0j3it9YzcUD+N2WHE7LPIgk1iUJLmLrIXHmO73\n+T1tAJy7eeSsjwVWF+2hrlHXSIZDdPzqfznjhb+RVKDoXe+h5NK/w+SYuyGRzpWrqP7iV/C//hqd\n9/+Knof/gP/NXVR+4mocNbXGMakhmel7AeVFTpo6/CSTOibT9EbgCLEQZJy7yNqJ66f6QzF2Hexk\nSYmLlUu8I451W91EE1GiidjQ+UeP0HDztxh44Tm6S+z86dIayt7/wTlN7GmKouA5/Qxqv/0dfDvO\nJ9rcRON3bqb3ycfRdR2LyYJt2CIj5UUu4gmdnkFZYEwsLpLcRdZOnHrglQPtxBM6521eMmp8eYHN\nuKkaiAXQdZ2+p5+i8bvfIdbZQdG7L+LBd5UTqRy5MtN8MDudVHz8SpZ+4UbMLhedv7qXth/9gEQo\nhMvqyqz9KjdVxWIlbRmRtXRbxpkaE/5aXQcAZ2+oHHWsOzViZjA0QOS+Bxh4/jnMBR4qP/UZHOvW\nEfzra1RbXPMU+WjuTZup+b83c/zH/43/9deItrVR+pYCWu2pyr1w6Kbq+gWLUojsSeUuspau3O0W\nO/5QjPqmflZWeSnyjH6oqcDqwhZNEvrvuxh4/jnsNbXUfONbuDdszLQ+0nPQLBRrURHVX/wKhW+/\nkGhrCxf+/jBFrQMk9aSMmBGLllTuImvDpwzYe6SbpK6zdXXpmMcWhk28/4lelL4uCk47ncpPfioz\nXj0954zbuvCThilmM+Uf+gi2qiqO3/tzLnuql761r1K+disgU/+KxUcqd5G1obaMgzcPGiNhTl0z\nOrlH21opufv3lPYlGDxjHUs+fe2IB5ECmakHFrZyH67wrW+j7rJt6Ap0/ehOlL2vY7OapOcuFh1J\n7iJr6crdotjYe6SbskIHVaUj514JHT5E43e/g9I3wItb3DS8bSOKaeSX21DlnjvJHSC6uoaHLigE\nm432u3/MeeHDHO8NkhxjXhshcpUkd5G1dHI/3hklHE2wdXXZiFEywboDNN/y7yRDIdwfuYJXN7oZ\niPlHXSc9oZgrB9oyw7ksTtrKbHDNxzB7vJx59DlOb3+T7n6p3sXiIcldZC09zv1ggzGtwPCWTLDu\nAC3f/09IJqm69jrKd7wdgIHo6JXk0zdU3TnUlgFwpR9kKvex7KtfJ+b2saPnTToffGCBIxNi6iS5\ni6ylK/f6Y34cNjOrq43ZIYP1Gi3f/0/0RIIl13yOgq2nYjVbcVqcDEZHV+7pCcUWerTMiZzpFaRi\nIWwVlYQ/+ll6rB4sLz5J98N/WODohJgaSe4ia6F4GBMmOnqiqMsKsZhNhA7W03L7reiJBFXXfI6C\nLVszx3ttBWNW7oOpbV5bwbzFPhUFqeSenvCscnkV91VdSNjlpft3D9L72KMLGZ4QUyLJXWQtlAhj\nUWyAwvrlxYQOHaT5tlvR43GqPnMtBVtPHXG81+bBHwuQSI5cKHsgVc17bJ75Cn1KCqzGD5vB1H2C\nimIXfpuHpzddhrmwkM7776Pv6acWMkQhJiXJXWQtHA9DwnhEYp01YFTssShLPnUNBaeeNup4n92Y\nb6YvMjBi+2DUj1kx58zi2Gme1JQJ/qhRuVvMJiqKnRwMWKi+8cuYPV467v05/S88t5BhCjEhSe4i\na6F4iFjERLU5ROznPyQZDlN59afwnHb6mMcX2QsB6I30jdg+GB3EYyuY9nqncyW9yMjgsBE+S0rc\nBCNxwt4Sqm/8Eia3m/Z7fsrg668tVJhCTEiSu8hKMpkkkohiH9T5+6bHSAwMUP6hj+A98+xxzyl2\nGMm9LzyU3HVdZyDqx5Nj/XYAu9mO1WTJVO4AVaVGH761K4B92TKqb/giis3G8Z/8iGC9tlChCjEu\nSe4iK6F4GFs0yeU7m3EG+ym+9O8ovOAdE55TlEruPcMq90giQiwZy8nkrigKBdaCESN80gtkt3Yb\nY/Mdy1dQde116LpO6x23EWluWpBYhRiPJHeRFb+/j/c+00/ZYAT7OTsoee9lk56TacuE+zPb0jdT\nvdbcupma5rG5R6z9WpVJ7kPb3Bs3UXnlJ0mGQrTcfiux7u55j1OI8UhyF1OmJ5M0f/9OlnbGOLik\nmJorr5xSvzxdufdGejPbBjMjZXKvcgdjxEwsGSOSiAJQWeJCAdq6Rq4H691+DqXv/yDx3l5abruF\nhH/0eH4hFoIkdzEluq7Ted+9hHfto6nCyq6zt4yaK2Y8LosTm9lGz7Cee/rmaqHDNyfxzlR6kZH0\nDyG71UyJz0Fr1+jFvove+W4KL3wX0bZWWu64jWQ0Oq+xCjEWSe5iSvoe/wt9Tz1JuKSYh9/io7S4\ncMrnKopCubOUjmAXST0JQHeoB4BSR/GcxDtT3tTY+4Ho0PDN6rICBoIxBgIjk7eiKJS9/4N4zjyL\n8OFDHL/7x+jJ5LzGK8SJJLmLSQ2+9gqd99+HubCQ5885h6jNRHUWyR2gwlVGLBmjL2L03btSyb3E\nmZvJfeg+wdBvGzUVRgupsX3007aKyUTFVVfjXKvif/01jt3z8/kJVIhxSHIXEwodrOf4XT/G5HBQ\nff2NHAoZqzBV+LyTnDlShasMgPZAJwDd4VRyd8z/+qlTUZRqF/VGhm4C11QY1XzDGMkdwGS1UvXZ\nz2NbUkXr7/9I7xOPz32gQoxDkrsYV/R4Gy3/dTt6MsmSaz6H31uOP2LM5OhMzZw4VZnkHkwl91AP\nXpsHm9k20WkLZqLKvaF9/JumZrebpdffgLWwkM5f/y/+Xa/PbaBCjEOSuxhTvL+flttuJRkIUPHx\nK3Fv3ER9cx+YY4CxxF42KtzlALQFjpNIJuiJ9FGSo/12GD7CZ6hyL/E6cDssY7ZlhrOWlrHhG19H\nsVpp+/GPCB0+NKexCjEWSe5ilGQkQssdtxHr6qT40r/Dd94OAA429aGY40D2lfsSdwU2k5Uj/Q20\nBNpI6kmqCipmPfbZUmB1YzFZRlTuiqJQU+GhozdEKBKf+PzVq1jymWvR43Fa77idaEfHXIcsxAiT\nJndVVRVVVf9bVdUXVVV9SlXVlWMc41JV9XlVVdfOTZhivujJJG0/+RGRY0fxbj93xENK9c39mK3G\nzI7ZJneLycJyXy2tgePs7ToAwErf8lmLe7YpikKh3TciuQPUpvruk1XvAAWbt1L+0Y+T8A/Scvst\nJAYnP0eI2TKVyv0ywK5p2jnA14Bbh+9UVfU04BlgVNIXi4uu63T86l4Cb+7CtX4DFf94VeYhJX8o\nRmtXgIIC47Ujy+QOsLpwBQCPHDVuNK7yrZilyOdGmbOEwZg/szgJDB8xM7WHlQrf+jaK3nMxsfZ2\nWv7rdhkDL+bNVJL7ecCjAJqm7QROnPrPhvEDoG52QxPzrfexR+l/+klsS6tZcs3nUCyWzL6DzUYF\n63DqKCjYp3EjdFv55sy/SxzFlOboMMi0oZvAQy2Vmiwq97TS9/09njPPljHwYl5NJbl7gf5hr+Oq\nqmbO0zTtJU3TWoDcmrdVZGXglZfp+s2vMRcWsvT6GzC7Ri59d7DJ+BIwWxPYzXZMSva3a5a4K7ho\nxYV4rAV8ctNHcm6q3xNVpm4CHw8MJffKYhc2q2nCETMnMsbAfzIzBr7rN7+e9ViFOJFl8kMYAIbP\n7mTSNG1GpUdZWe5NFpWLMcH8xNW/dx/tP70Ls8vFKd/6Bu4Vy0cdc/T4IGaTQkKJ4rY7px3XlWWX\n8/EzLpvWD4eJzMXnaZ2+HDQY0PtGXH9llY+DTX34Cl3YrOYpx1Tyza+z5yv/RO/jf6GwdilVl148\n6zFP5mT+Os9WLsaUjakk9xeAS4Dfqqp6NrB3pm/a2ZlbN5bKyjw5FxPMT1yR5iaavvdddF1nyTWf\nI1hQQvCE94xEExxq7qOmwsNAPEyhzZdTn6+5+jw5YsY395GuphHXX1rqpq6hl9f3t7F66dhz44wX\nU+V1X6DxX/8/jt79MyJ295grV82Vk/nrPFu5GlM2plI+PQREVFV9AbgFuEFV1Q+pqnr1CcfpWb2z\nWHCxnm5abr+VZChE5SeuxrV+w5jHHW7tJ5HUWbvMSzAWwmXNrWXx5kqB1Y3P5qVhoBldH/ryXrXU\neDr3cEv/eKeOy1pSytLrbkCx2WQMvJhTk1bumqbpwDUnbK4f47gLZisoMfcSwQAtt91KvLeX0r//\nAN6zto97bH2TcTO1dqkTWsBtcY17bD5RFIUVvhre7NxHb6SP4tRUCelq/VBLP++axnUdy5ez5NPX\n0nrHbbTecTvLvv4NbOXlsxi5EPIQ00kpGYvR+l/fJ9raQuEF76Do3e+Z8Pj6pj4UoLLcqAVc1pMj\nuQMs99YAcGxgaKWlEq8DX4GNQ839Iyr6bBRs3kL5R/9RxsCLOSPJ/SSjJ5O0//QnhOo1CradRtkV\nH55w1EosnuRw6wDV5QXoJmOM9snSlgFY4asF4FDf0cw2RVFYvdRHfyBKV394vFMnVfjW8ym+6BIZ\nAy/mhCT3k0zXb+9n8NVXcKxeQ+XVn550wY1jxweIxZOsXVZIIGasH1pgcc9HqDlhuXcZNrMNrefg\niO1rlxlzz9Q19o512pSVXHY5nrNkDLyYfZLcTyI9jzxM72OPYqtcwtLPXY/JNvmDSOl+u7qskGDc\nmBHyZKrcLSYLawpXcjzYMWIqgvU1Rv+9rqFvvFOnRDGZqLhSxsCL2SfJ/STR99en6Hrwt1iKi1l6\nwxcxF0xt7VItldzXDKvcT6aeO8C64jUA1PUOjWypKnNT4LRS19g77b572vB54Hsf/wu9jz06o+sJ\nAZLcTwoDO1+m495fYPZ4qL7xS1hLSqZ0XiKZ5FBzP5XFLnxuG8F0W+ZkS+5FRnIf3poxKQrraovo\nHYzQ3hua8XuY3W6WfuFGLEVFdN5/H/3PPjPja4qTmyT3POff8ybHf/oTTA4HS2/4IrbKJVM+t6nD\nTziaQK0x+suBeKpyP0mGQqYtcVfgs3mo6z04okrfuNxozew90j0r72MtKWXpDV/CXOCh/Rf3MPjK\nzlm5rjg5SXLPY0Gtjrb//gGK2czSz9+Io6Y2q/PrG42WTPrmYbot4z7JKndFUVCL1zAY9dMaOJ7Z\nvnlVKQB7Ds9OcgewV1Wx9IabMDkctN39Y/x73py1a4uTiyT3PBU6WE/L9/8TPZmk6trP4VyzJutr\naMNupgInbc8dhlozB3qGnt8r8tipKS9Aa+wlHJ148Y5sOGqXs/TzN6KYzbT98L8I1h2YtWuLk4ck\n9zwUOlhP8223oMfjLPn0tbg3bZ78pBMkdZ2Dzf2U+hwUe4252/2xAHazbVrT/S52mZuqJwyJ3Ly6\nhHhCZ9+Rnll9P+eaNVR99vMAtNxxO6GDox4KF2JCktzzTLBeG5HYPdumNzFVc4cffyiWackADEb9\neB2Le6a86fLZvVS4yjna30BSHxqLftpaY9qAV+smX0YvqSfZ13VgxANRE3Fv3MSST1+DHo/RfNst\nBDVZMkFMnST3PBKs12i5/dYZJ3aA/ceMSnTjCmNBDV3X8Uf9+OwnZ3IHWOGtIZyIjJjfvaaigIoi\nJ7sPdxGJJiY8/zf1f+C/9/yM23fdOeUEX3DqaVR95rPo8Tgtt99K8MDfZvQxiJOHJPc8EdTqMom9\n6jMzS+wA+48ayX3DciO5hxNh4nripK3cAZb70vPMNGa2KYrCGevLicaSvHGwc9xzjwc6eK7lJcCo\n4B84+Icpv2/BqduouvY6SCZp+f5/Eti/b5ofgTiZSHLPA/5db9Dyn/+RSewznSM8EktQ39RPTXkB\nPrfRXx+MGisPFZ7ElXt6ErGj/Y0jtp+7yRhe+tzu1nHPfeX4G+joXLXxw2wqWUfjYAttgfYpv3fB\nlq1GD17Xab3jNgL79kzjIxAnE0nui1z/88/R+sM7wGRi6XVfmJXFH+qb+ognkpmWDMBgNABwUlfu\nVe4KbCbriModoKLYxbqaQuoa+2jrDox57u7OfVhNFk4p3cCZldsAeL09u2GO7lM2U3XdF0BRaLnj\ndgZ2vjy9D0ScFCS5L2I9jz5C+z13Y3K5qP7iV3BvOmVWrptuyWwantxjRuV+MvfczSYzNd5q2gLt\nhOMjZ4M8/9SlADz+WvOo87pC3RwPdrCueC12s40NJeswKSbqerJfqMO9cRNLv3ATJpuN4z/5kUxV\nIMYlyX0R0nWdzt/8mq7f3o+lqJhlX/k6zpWrZu36+4/2YLOYWF09fKSMMd+47ySu3AFWeGvR0Wkc\nHJnET1PLKCt08PyeNvr9kRH7jvQ3AKAWrQbAaXFQ66mmYbBp1A+JqXCp61j25a9jLiyk8/776Lz/\nPplNUowiyX2RSUYitN35Q3r/8meslZUs++o/Ya9aOmvX7x2M0NIVQK0pwmoZ+vIYSPXcvSdx5Q7G\nFMAAx/qbRmw3m0y856xa4okkf3zx2Ih96eS+InVDFmBt0WqSepLD/SOPnSr7smXUfO2fsVUuofex\nR43pguOz9yCVWPwkuS8isZ5umr73r/hfexXnmrXUfOWfpjwJ2FS9UW+M+Ni8auR1+yPGeqElrqJZ\nfb/FpjaV3BsGR7dfztu8hIoiJ3/d1UpT+9DKSkf6j2E1WaguqMpsW1W4PLWvYdqxWEtKWfbVf8Kx\najWDO1+m+db/R3xgYNrXE/lFkvsiETp8iMZ/+TaRxga8b9lB9U1fxuyZ/Sr6dc0Yw71tbdmI7b2p\n5F7sLBx1zsmk0O7DYy2gYaBp1D6L2cQHL1hDUte54/43SSZ1wvEwrf7j1HiqsZiGlixekRl5M/3k\nDmAuKKD6xi9RcNrphOo1Gv/lW4SPHZvRNUV+kOS+CAy8+ALN/++7JAYHKbviI1R8/CoUy6Rrm2f/\nPsEoWlMfq5Z6KfLYR+zrC/fjtDhwWh2z/r6LiaIo1Hqr6Y30ZYaHDrd1TSlnrCvnwLEeHn7pGMcG\nmtDRWelbPuI4l9VFpaucYwONI554nQ6T3c6Sz3yWkssuJ97bS9P3vsPASy/M6Jpi8ZPknsMS4TDH\n77mb4z/9CYrVytIv3ETROy6ccM3TmdhV34muw+lq+ah9vZF+Cu2+OXnfxabGUw0wZvUO8NF3rqWs\nyMnvnjvK84eNJ0rTa7EOt8JXSyQRpdV/fNS+bCmKQskl76XquutRLBaO3/0TOu67V/rwJzFJ7jkq\n0tTI7pu+zMDzz2GvqaXmn7+Je+OmOX3P1zWj337aCS2ZcDxCKB6S5J6S7rufOGImzeOy8c9XnYXd\naua1JmPCr5VjJvdUa2ZgZq2Z4Qo2b6Xmn76JbUkVfU88TuN3v0O0feY/PMTiI8k9x+i6Tt9TT9D4\nnZsJNbdQ+I53suxr/4ytonJO3zcQjnGgoZfaSg+lhSPXSO1L9duLJLkDsCxTuY+d3AFWLvVx4we3\nYC7oIxl2sXPP6OX40q2amdxUHYutspJlX/8Gnu3nEDl2lIZv/1/6nv3rjJcDFIvL7DduxbTFurvp\nuPfnBPbsxlzgYe0N15GoXTsv7/261kkiqXO6WjZqX2/EmNddKneDz+6h0O6jcbAZXdfHbZN5iiJg\niWEerOB/nzhIfXM/V757HS6H8W1X4SrDaXHO+KbqWMxOJ0s++Sncp2ym45c/p+Pn9xDX/kbRFR+b\nkxvxIvdIcs8BejJJ39NP0vXgA+iRMK71G6j4xP+heG0NnZ2Dk19gFjy3uxUF2L5x9G8InUFjpaFS\n5+wOu1zMar3L2N25j75IP0WOsUcQpSvyS7ZsZVfIzWt1HRxrG+DqSzawdlkhJsXEcu8yDvTUMxj1\n47FNbdHybHjPPBvn6jUcv/sn9Ox8hf4DdZR94Ao8Z22fs3s3IjdIW2aBRZqbaPruv9D5q3tRzGYq\nrvokS2/8Etai+RtP3tIV4HDrABtXFmcW5hiuI2T04stdo6v6k1X6pup4fXcYGua4qWI1X/7wqVx6\nznK6B8J87943+O1fDxNPJDO9+Lmo3tOsxSVU3/Rlav/xYyRDIY7f9WOab/l3Iq3jT3QmFj+p3BdI\nwu+n++E/0Pf0k5BI4DnzbMqu+DAWr3feY3nqDSNB7dhcNeb+zmAXAOWu0nmLKdfVeof67lvKxr7R\nfaS/AbvZRlVBJSbFxPt2rOSUlSX85OH9PPJyA/uOdvOO8ysAODrQyOayjXMWr2IyUX35ZZjWbabj\nV78ksGc3Dd/+BsXveg/FF1+KyW6f/CJiUZHkPs+S0Sh9TzxGz5//RDIUwlpaRtmHP0rB5i0LEk8g\nHOOFvW2UeO2cunbs5N0R7MJtdZ10C2NPJF25nzhDZJo/GuB4sAO1aDUmZegX5NXVPr511Zn86smD\nPL+njV881I9l6+zfVB2PtayMquu+QODNXXT86l56HnmY/hefp+Ti9+J7y445eX5CLAz5n5wnejzO\nwMsv0f37h4j39mAqKKDsig/je+vbMFm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s7iml1EJZ3FNKqYWyuKeUUgtlcU8ppRbK4p5S\nSi2UxT2llFooi3tKKbXQTUGbil9xSGh7AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.kdeplot(x) # 默认bw='scott'\n", "sns.kdeplot(x, bw=.2, label=\"bw: 0.2\")\n", "sns.kdeplot(x, bw=2, label=\"bw: 2\") # 设置bw参数\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### cut参数\n", "As you can see above, the nature of the Gaussian KDE process means that estimation extends past the largest and smallest values in the dataset. \n", "\n", "\n", "It's possible to control how far past the extreme values the curve is drawn with the ``cut`` parameter. \n", "\n", "\n", "However, this only influences how the curve is drawn and not how it is fit." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.kdeplot(x, shade=True, cut=0)\n", "sns.rugplot(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 拟合参数分布(Fitting parametric distributions)\n", "You can also use distplot() to fit a parametric distribution to a dataset and visually evaluate how closely it corresponds to the observed data." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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GERxc+b1S4RumTJlG//6D2LlzB++++3ej4wgvVe6ugNbaiWtc3l2G2/IlwJLr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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.random.gamma(6, size=200)\n", "sns.distplot(x, kde=False, fit=stats.gamma) # 设置fit参数,拟合参数分布" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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5KBufz9fxRkJ0ISn6QeRi0TdEDmNQcgSRdunLv9lCQkK4bemjgI/8g8spLKvT\nO5IIMlL0g0R9XS35ecexxfQnNCxC+vJ1NHzkRPoNSqO+7AQ7d+3WO44IMlL0g0Tu8Ux8Xi+WuBEM\n6RtJhE1a+XoxGAwsue8JAE7u+4jSCmnti5tHin6QyD7i79qx90ljzGBp5estuf8Qho2eQWNNEZsy\n1ukdRwQRKfpBwN3cTE72QULDYxmZOgx7uEx4HgiW3PsFDEYTOXv/TUXV9c/UJcS1kKIfBPLUEdxN\nLuyJaYyRM3YCRnRsIqMmL8Ltqmb1ivf0jiOChBT9ILB3z3YAUsdMxhYmrfxAsnjpg5gsdnIPrKak\npETvOCIISNHv5dxuN6dPZBJitjFr2iS944hLhIfbSZ/7AD5PM/9e9qbecUQQkKLfy+3edxB3Yy19\nB4/DHi5X3waiW2+9g7CofhTm7iVXdWpmUSGumxT9Xszj8XJgn39axCnTZ+ucRnya0FATM257FIDl\n7/4Br1dG4BTdR4p+L6YKqqgqysIUamXEyPF6xxFXMW3yBKJSJlJdXsie7Wv1jiN6MSn6vZTb42X/\noaO46y8wbOQETKFyADeQhZqMzFz0EAaThY0f/4OGejmFU3QPKfq9VE5BFRcK/P3Do8ZN0zmN6Ixx\nIwYQP/wWmlx1bF77vt5xRC8lRb8XanZ7OXrqAnUlxwgJMTE8LV3vSKITzKEhTJ+7hFBbPIf2biI3\nV+kdSfRCUvR7oZyCKmqrSmmsOc+Q1LFYrGF6RxKdlDY4nj5j7gGfj5df/hVut1vvSKKXkaLfy7g9\n/lZ+Q+lxAEaMmapzInEtrOYQJkyYiKNvOqdP5/H+++/qHUn0MlL0e5mTRXU0NnvwVCoMBiOpo+SC\nrJ4mbWA0iSMXY7LYePPN33P+fJHekUQvIkW/F3E1eVAFtRjddVQU5zFgyAhsjki9Y4lrFGYxMWxA\nPDGpi3G5XPz61y/KDFuiy0jR70W2Himhye3D7s4Hn48RY6boHUlcp9QUB7H903EkDGP37h1kZGzQ\nO5LoJaTo9xL1LjcZh4oxmwxUnfOfqilFv+eymkOYMzaR6BF3YzKZ+e1vf0VtrUykLm6cFP1eYsP+\nAuobPQyMD+HMyaMkpwwhKiZB71jiBswfn0RkTB/itVu4cOECr776st6RRC8gRb8XqHc1s3ZfATar\nCV+VwuNxSyu/F7BZTdw2OYXwlBkkJA1k1aoV7Ny5Te9YooeTot8LrNtXQEOjmwXj+5BzbB8Ao8bP\n0DmV6ApvJV5IAAAbkklEQVQLJ6UQ6QjDkXofJlMoL7zwc6qrq/SOJXowKfo9nLOhmXX7CogID2Xc\noDBO52aR1G8wsQnJekcTXcBqNrF05iAMYfGMn3UvFy5U8NJLL+gdS/RgUvR7uLV7z+Jq8nD71AFk\n7tuF1+Nh5PjpescSXWjW2CSSYsOpDBvLcG0kGRkb2Lhxvd6xRA8lRb8Hq61vYkNmIRE2M3PH92Xb\nti2AdO30NiFGIw/MHQoYGTj5c1itVn796+cpLy/XO5rogaTo92Br9p6lscnD4qkDaKir5dChTPr0\nG0RMXB+9o4kuNnZoLKn9ozhVEcKd9z9BTU0NL7zwM7loS1wzKfo9VE1dExszC4mym5kzLpmtWzPw\ner2kyVk7vZLBYOBzC4djNBgo9AwjPX0yu3fv4IMPlukdTfQwUvR7qDV7ztLU7GXxtIGYQ0Nar9hM\nHS1Fv7fqF2/nlon9KKtuZPKtjxMVFc1rr73MiRPH9Y4mehBTR3fQNM0AvAaMBVzAk0qpU23W3wk8\nBzQDf1ZKvdGyPBOobrnbaaXUF7s4e9Cqdjay6UAh0Q4Ls8cmUVl5gYMHM0lNHUFkdJze8UQ3unvm\nIHYfL2HLsVq+8fSz/PSH3+WHP3yWN974G3a7Xe94ogfoTEt/KWBRSk0Hvg+8dHGFpmmmltu3AHOB\nL2maFq9pmgVAKTW/5UcKfhdavecsTW4vS6YNINQUwqZN6/F6vcyaNU/vaKKbhVlMfHb+UJrcXg6X\nOPj85x+lqOgcL7zwU+nfF53SmaI/E1gDoJTaA0xss24EkKuUqlFKNQPbgdn4vxXYNE1bq2naBk3T\npM+hi1yocZFx8ByxERZmjvGfi7927SpCQkKYPVuKfjCYmpbI6MGxHM+vZPjEOxkzZhybN2/iX//6\nQO9oogfoTNGP4JNuGgC3pmnGT1lXC0QCdcCLSqlFwFPA2222ETfg/U25NLu9LJ4+kFCTkTNn8jlx\nIpuJE6cQExOjdzxxExgMBh69TcNqDuG9Laf51neeIzIyklde+TU5OTLFori6Dvv0gRrA0ea2USnl\nbbMuos06B1AF5AJ5AEqpXE3TKoAk4NzVHig+3nG11boIpEwV1Q2s2ZVPQkw4S+cNJ9Rk5O23NwLw\nwAP3Ehdnx26zEm6zXtf+mxqsGENCcNivffuL29zIPrpi+7b7aJtLrwxX2kdn9hticBMXZyci4srv\nv/h4B0/cOZLXPjjC2sPVPP/883zlK1/hhz/8PsuWLSM6Ovqa8gbS+/wiydQ9OlP0dwBLgPc1TZsK\nZLVZlw0M1TQtCqgHZgEvAk8Ao4GvaZqWjP/D4HxHD1RWVntt6btZfLwjoDL9fZ2i2e3ljin9qaqs\nw+v18q9//ZvwcBtjxkymvNyJs86Fx9eZX+vl6updGIwmTGbXNW3nsFupdbpuaB83muFK+4iOoTWX\nXhku3Ufb1+pqGupdlJc7aWw0fOp9JgyNZdSgGA6cKGVY8lAee+xJ3nrrDb7+9W/yv//7W0ymzr0P\nAu19DpLpWlzrB1Fnulw+Aho1TdsB/Ap4WtO0hzRNe1Ip5Qa+DazD/+HwJ6XUeeBPQKSmaduAfwJP\ntPl2IK7DhRoXWw8X0Sc2nOmj/BdfHTlyiJKSYubOnY/Vev2tUtEzGQ0GvrgkjQibmfc35zH3ts8w\nY8ZsDhzYz+uv/5/e8USA6rApoJTy4e+XbyunzfqVwMpLtmkGHu6KgMLv411ncHt8PLhQwxTi/6xe\ns8b/st966+16RhM6irSZeXLJCF569zB/WJ7Nt7/z3xQWfplly/7JkCHDuP32JXpHFAFGDq72AOXV\nDWw7XERidBhzJ/QDoLHRxZYtm0hISGTcuAk6JxRdzefz4XQ6qa2t7fBnQJyZW9OTKK1q4M01J/ne\n9/8Hm83Giy/+nIMHM/V+KiLAXF/nr7ipPt55Bo/Xx10zBhHS0srftm0LdXV13HPPAxiN8tnd2zS6\n6tl6qJqIyKhO3T8i3EByrJWcwhr+7fVw10Pf4N03X+DZZ5/h9dffpH//Ad2cWPQUUi0CXFlVAzuy\nztMnJpwpaYmty5cv/wiAO+64U69ooptZrGGEhds79RNuczBnfApRdjMni+rwOoZx+31P4nTW8swz\n/x9VVZV6Px0RIKToB7gVO/P9rfyZAzEa/WdynD17hkOHDpCePol+/VJ0TigCRajJyPwJ/Qi3mMhU\nZdiSJvDggw9TVHSOZ555mvr6Or0jigAgRT+AlVbWszOrmKTYcCanXt7Kv/POpXpFEwHKHh7Kwkn9\nsJpDOHCyimHpS7jttsWcOHGcZ599hqamJr0jCp1Jn34AOXIsB0+bz+H1Byvw+nyMHRjG4ew8AMLD\nQvh45XLs9ggcsSkcPHay9f5NrjpATt0MdpF2C7dM7MfavWf5Z0Y+9875ArW1NezYsY0f//g5fvjD\nn3X6HH7R+0hLP4AUVzVS3RxGdXMY+ReMnCisI8puJj4utnX5lp2Z1Nc5GTdlAXU+R+vy6uYwyquv\n/2Ii0bvERFiZNzaeKHsoH27LJ3XW44wbN4GtWzN48cWf4/XKZTPBSop+gDqQUwZAuhaPwfDJVZm7\nNq/yL5++UJdcoueItIXy9H1p9I23seVIKXHjHmbosFRWr/6YF174mRT+ICVFPwCdr6jjXFkdfWLC\nSY6ztS4vKykkL+cog7WxxMYn6ZhQ9BRRdjP/9XA6k1ITyC9twpr6efoNGMqqVSuk8AcpKfoBxufz\ncUBduZW/e/PHAEyafqsu2UTPFGYx8ZW7R/L5hcNxYyF0+OeIThjAqlUreP75n+J2u/WOKG4iOZoT\nYPKLa6moaWRgkoPYyE8OytbVVnNwbwYxcX1IlXlwxTUyGAwsSO/HyEEx/HXNCY7xKA373mT16o9x\nNTbw7H/9CLPZ3G6bi1cF3yi73d6u8SL0JUU/gHi8Pg7mlGM0wPhh7ac93Lt9De7mJuYsXEpIy7DB\nQlyrPjHhfPeh8ew8msR7jjCyN/+RjE0byT1dzAu//BX9kj6Zk8HpdLJxXx4Wa9h1P16jq4EFk4bg\ncPT8IYl7Cyn6AeTk+QacDc2MGBCNI/yTVldzUyN7t63CGmZjyqxbaZJv4+IGGAwGZoxOYlJqAmsn\n9uePr/yCwtNHefxLT3L7g9/h7nmjGJIcCXxyVbDoPaRPP0DUu5o5draeUJOR0UNi2607vH8Ldc4a\nJs1YdEOtLiHaMoeGcOfMYWxa+XfSpy6gsbqQj//yI37w6kp+8pf97D5ehtsjB3p7Gyn6AeLjXWdo\ncvsYNTgGq/mT7huv18vOTcsJCTExZc5iHROK3irMauGl53/Ok09+BberivN7fs+xI/v5Z0Y+H+8u\nZs/xEiprG/WOKbqIFP0AUFRex/p9BdgsRkYMaD/NnTq6j/LSc4xOn0VEpMyBK7qHwWDgkUee4Ac/\n+AkGn5vizLeIbzqI0QjqbBUrduSzevcZ8s5VS+u/h5OirzOfz8fb63PweH2MH2JvnSAF/K38Tave\nwWAwMHOBjLMjut8ttyzi5Zd/R0xMLLs2vIv71AfMGBlDcpyNsioXO7KK+WDzKQ6fLMfV5NE7rrgO\nUvR1lqnKyD5TyejBsfSNaX/K3LFDOykpymdM+mwSkvrrlFAEm1GjxvDHP/6FkSNHo7L2suqvP2ZU\nkpt7Zg9i1OAYfPg4fLKCD7fksS+7FGdDs96RxTWQoq+jhkY3/9yYiynEwOduGdbuXGaPx8OmVf/E\naAxh3u2f1TGlCEaxsXH8/Of/y6QZiygrKeQPv3qG4/s3MH5YHPfNGcLE1HjMoSFkn6nko62n2HW0\nmHqXFP+eQIq+jt7fnEdlbSN3TB1AYkx4u3WH92ZQUVrEhKkLiJEhF4QOTCYTt9z5MJ//0n9htlhZ\n+f4f+ccff0FDXRVpA2O4Z/ZgZozuQ0S4mdzCaj7aeppMVUZjs3T7BDI5T18n6mwlGQfP0TfOxuJp\nA9utczc3k7FmGSZTKHMWPaBPQNHjdfaKWovFR23t5fdzOp3gA23UJL76vd/w4d9eRh3dx5m8Y9y2\n9HHGT13AkL6RDEqKIK+ohsMnyzl2+gK5hVWMGhRz2UkJIjBI0ddBU7OHt1afwAA8dnsqoab2X7j2\nbl9NdWUZ0+beSWR03JV3IkQHOjvPrt1mxVl3+bDc1ZUVWMPthNnsRETG8MhX/4fMnetY9++/8q9/\nvkrWge3c9eBXiY5NYFi/SAYlOThxtoqjpyo4kFOOOlvFqIEOfD5fdz1FcR2k6OtgWcZJSiobWDgx\nhSF9I9utc9ZUkbH6XcLC7cy+9X6dEoreojNX1IbbrHh8l5cCV0P76RWNRiOTZt7G8JETWf7u78g9\nfoBXf/Et5tz2GabNWYIpNJRRg2IY1i+So6cqyM6vYs+JSoors/n8wlSG9ou87DHEzSd9+jfZoZPl\nbDrg79a5b87gy9avX/E3Gl31LFj8OWz2CB0SCnF1kdFxPPzl/+a+L3wLU2go65f/lf/7+Tc4fng3\nPp8PS2gI6VoCd88aSL+4MM6U1PHzv2fy2kdZlFY16B0/6ElL/yaqdjby5spsTCFGvnTXSMyh7QdO\nO52XzcE9m+jTdyATZ8jwySJwGQwGxk6ay/CRE9m8Zhl7tq7inT89z8Cho7j93idI6jcIR7iZaWkx\n9I1zsHx3EftVGYdOlrMgvR9Lpg/EZg3V+2kEJWnp3yRuj5fX/30MZ0MzD8wbQkpC+6/cLpeLlR/+\nBYPByN0PfQ2jUUbSFIEvLNzO7fc+wde//zLDR04k/+RRfvfCt3nnTy9QfC4fgEFJDp79Qjpfvmsk\nkTYLa/cW8L3Xd7F+f4Fc3asDaenfJO9uOokqqCJ9eDy3pPe7bP3vf/8KVRfKmDH/bvr2H6pDQiGu\nX1xiXx7+8rOcPHGIjSv/wfHDuzh+eBfDR04k6cv/wbhx45mSlsiE4XGs31/Iyl35/HNDLuv2FnDb\nlP7MHJOEJVQaOjeDFP2bYNuRIjZmFtI33sYXl4y4bEKJXbu288EHy4hLSGbeHQ/plFKIGzc0dRxD\ntLGczD5Ixpp3yTm2n29+cz9Tpkzj/vsfZNKkKdwxdQAzxySxYkc+Ww8X8fb6HJbvOM0tE1OYP6Gv\ndPt0Myn63ezoqQr+ukYRbjHxjXtHYzW3f8mLi8/z85//GLPZzD0Pfgmz2aJTUiG6hsFgYFjaBIaO\nGM/xw7s5umc1e/bsYs+eXaSk9Ofeex/gttsW8/mFw7lz+kA2ZBawKfMcH209xardZ5g+sg93zx1K\nhEVa/t1Bin43OllYzSsfZWE0GvjGfaNJiG5/1W1jo4v//u//pLq6iu985z8Ji0vRKakQXc9gMDB4\n+GgeuW8RRUXn+PDDZWzYsJaXX/4Vf/jD75g3bwG33baYpTPHcfuUAWw5VMT6/QVkHDznv3Ax3kb6\n8HgmDI8nJUGmXOwqUvS7yenzNfzmvcO43T6+fu9otP7tr070eDz87Gc/JCfnBIsX38Vdd93L+p1H\ndUorRPe4eFVwcnJfvv71p3n44cdYs2YVa9Z8zKpVK1i1agWJiX2YN+8W5s27heceHs2Js9UcyKvk\nUG4Fy3fks3xHPrERFsYMjiK1fySD+tivuf9f5un9hBT9bnA8/wL/92EWTc0enlycxrhL5rv1+Xy8\n/PKv2Lx5E+PGTeDpp5+RN6Tola50VXC/kfP44og5nD2tyDqwjRNZe3nnnb/zzjt/JzYhGW3kRMZN\nnM7iyX04XVhBaa2X8tomMg6VkHGoBIMBYhxm4iPNJERZiI0wtxuS/PIMMk9vW1L0u9ju48W8uTIb\ngK8uHUW6ltBuvdfr5be//RX/+tf7DB48lJ/97EXMZvOVdiVEr/BpVwWnjp5E6uhJNDW6yD6ym2OH\ndnHyxCF2ZixnZ8ZyIqPjSRmkMXDoKKZPmUp1o4niC/UUX6jnQrWLipomThQ4Wz4ELCREh5MQHUZC\ndBhhFiltn0ZemS7S7Pby7qZcNh04h9UcwjfuHc2Ige1numpqauLFF3/G2rWrGTx4KL/+9SvS+hBB\nz2yxMnbSXMZOmktTo4uTJw6Se2wfxw7v5eiB7Rw9sJ2V7/2B5P5DGDxsNEMHp5KYNgxnk4mSCw2U\nVtZTUe2ioqaR7DOVADjCQ1s+AMKJtHpl/J82pOh3gbMltfx59QnOFNfSN97GV5eOIinW1u4+ZWWl\n/PCHz5KVdZi0tFE8//xLRHYwEJYQwcZssZI2dhpTZsyjqroOdXQfZ0+doPBMDoX5OZw7k9t637iE\nvqQM0ug/KJUxaUMwWOOoqGmmtLKB0qoG8s7VkHeuBoDtxy6gpUQzLCWK1P5R9EuwYwzSLlUp+jeg\nztXMih35bNhfiNfnY8boPjx8q9buIJPP52Pz5o386le/pKamhvnzF/L97z+HxWLVMbkQgS8kJISk\nfoNI7j+MqOhYXA31FObnUJCvOHv6BIWnFQf3bOLgnk0t9zcR36cfickDSUkegD0xGZ81gco6A06X\nh8ycMjJzygCwWU0MT4kidUA0qf2j6RtvC5oPgQ6LvqZpBuA1YCzgAp5USp1qs/5O4DmgGfizUuqN\njrbp6Wrqm9iwv5CNmQU0NHpIiArj4UXDGTUott398vJyef31V9izZxdms5lvf/sZ7r77PjloK8R1\nsIaFM3TEOIaOGAeA1+uhrLiQs6eyKSo8RfG5fEqLzrQO/3CR2WwlJaUfiUkpWOxxNBujqKwJY++R\ncg4oBwZjCPawULSWDwGtfxR942y99u+0My39pYBFKTVd07QpwEsty9A0zdRyOx1oAHZomvZvYOan\nbdNTNTZ7yM6vZOfR8xzMLcfj9eEID+WBeQNZMKFf6+BpHo+Hgwcz+fDDZWzfvhWAiRMn8/TTz5CS\nIvPcCtFVjMYQEpMHkJg8oHWZ1+vhQnkxJefOUFyUT1lxAWUl5ygsLCAv7+Rl+zAYjFhtERgtkeSG\nOlhjjcRkjcIeEcWgfn0YNiiZ4QOTSBvaj/j43nH8rTNFfyawBkAptUfTtIlt1o0AcpVSNQCapm0D\n5gDTrrJNwPP5fNQ2NHMup5QD2SXkFlahzlbR7PYPDtU33sbsscnMHpuMJTSEiopysrOPs2PHVrZv\n30p1dRUAqalpfPGLX2by5Km9ttUgRCAxGkOIS+hLXEJfRo6fDkBDvZPpI/vgcrkoLDxLYWEBRUXn\nKCsrpbS0hNLSEsrLz+F2u1v3UwGc2Qub2+zbZA4jLDwCR0QkDoeDqMgIYmMiiY6MwGZz4HDYsdn8\nP3a7Has1DKvVgsVixWq1YrFYMZvNuteCzhT9CKC6zW23pmlGpZT3CuucQCTguMo2N43T6aSu3kVZ\ndQPNzV6a3W6a3B6a3R6a3V6a3R4aGt3U1jfhrG/CWd9MTX0TFdUN1Df63wA+rxufu4kYu4FBsWb6\nxoTiazpD1tbNrHv3PHl5uZSXl7U+ZkxMDHfddQ+LFi1m1KjRuv+ChRD+CWASExNJTEwkPX3SZeu9\nXi+VlRdaPwguXLjAufOlFJ4vo6SsnMrKSuqc1dTXO6mtKgWu72wgg8GA2WzBbLFisVgwm/0fChaL\nhVCzmfAwK+FhVu6//yFGjx5zg8/6yjpT9GvwF/GL2hbvGvyF/yIHUNnBNjfF6tUf84tf/LjL9lcI\nHLnC8vj4BKZPn4WmpTJx4mTS0kYREnJ9Y4Z4m+pp7ODUMjNWGp2XT20H4Gl20cz1T1LR6HJhMIbQ\nUN/xvKpthRjcNNS7bmgfN5rhSvuor3O25tIrw6X7aPta6ZXhUp+W6WZm+LRMXZOh478Jo9FIbGwc\nsbFxpKamXfE+cXF2TuSVUXyhnsLiSs4Vl3O+rJKyiipqamupczrxNLvwul14ml34vE34PM14Pc34\nPE0t//p/XJ4mGmob8XmdrcvbfpAMHjy024q+oaPzVzVNuxdYopR6QtO0qcBzSqnFLetMwDFgClAP\n7ADuwt+9c8VthBBC6KczRf/imTgXP3Yex3/g1tZyps5i4H8AA/AnpdTrV9pGKZXTHU9ACCFE53VY\n9IUQQvQeMl2iEEIEESn6QggRRKToCyFEEJGiL4QQQSRgBlzTNC0C+Dv+8/5Dge8opXbrlCXgxg5q\nOT32TWAgYAZ+ppRaoWemizRNSwD2A7cEwllamqZ9D/+pw6HAa0qpP+ucxwT8Bf/vzg38h96vU8vw\nKL9USs3TNG0I8BbgBY4qpb4WAJnGAb/F/3o1Ao8opcquuoNuztRm2eeAryulpt/sPJdm0jQtHvgj\nEAWE4H+dTl9t+0Bq6X8b2KCUmov/tNBXdczSOt4Q8H38Ywfp7WGgXCk1G7gdeEXnPEBrQXsd/3Ua\nutM0bQ4wreV3NxcIhImH7wBClFIzgJ8AP9czjKZp38VfKCwti14C/kspNQcwapp2dwBk+g3wNaXU\nfOAj4HsBkAlN08YDT9zsLFfJ9ALw95a6+RyQ2tE+AqnovwT8vuX/oXADl5beuHbjDQGBMHbQMvy/\nVPD/3pp1zNLW/wK/A4r0DtJiEXBU07R/AcuBj3XOA5ADmFq+QUYCTTrnOQnc0+Z2ulJqW8v/VwO3\n3PxIl2X6rFIqq+X/JvSpB+0yaZoWC/wU+JYOWS669HWaAfTTNG098DnaDxd0RboUfU3TntA0LUvT\ntCMX/wWGKaUaNU3rA/wNHT7Z27jieEN6hQFQStUrpeo0TXMA7wHP6pkHQNO0x4BSpdR6/BfnBYI4\n/BcP3g88BfxD3ziAf0yqQcAJ/A2b3+oZRin1Ef5uk4va/u5q8X8w3VSXZlJKlQBomjYd+Brwaz0z\ntfz9v4G/R6IOnd7vV/jdDQQuKKUWAgV0om7qUsiUUm8qpUYrpca0+TdT07TRwHrge0qp7Xpka6H7\n2EFXomlaCrAJ+ItS6l298+DvhluoaVoGMA74a0v/vp4qgLVKKXdLv7lL07S4jjbqZk8Da5RSGv7j\nRH/VNC2QJkZu+952AFV6BWlL07TP4j+2dodSqkLnOBOAofi/1f4TGKFpWiB0+1YAF4/trcDf4Lmq\nQDqQm4a/C+Mzbb7W6WUHsAR4v2XsIL3zoGlaIrAWfz9nht55AFr6gAFoKfxfVkqV6hgJYDvwTeDX\nmqYlA+H4/zD0dIFPuuOq8P/dXd+ofN3jgKZps5VSW/EfL9qkdyBN0x4GvgTMVUrp/SFkUErtB0YD\naJo2APinUurb+sYCYBv+Y0ZvA7Pxj4V2VQFT9PEf3LIAL7f0fVYppe7pYJvu8hH+FuyOltuP65Sj\nre/jP0L/nKZpP8A/JN/tSqlGfWO1CojxPJRSKzVNm6Vp2l78X8G/qpTSO9tvgDc1TduK/3jV95VS\neh6zutT/A/6oaVookA28r2eYlq6Ul4EzwEeapvmALUqpH+kUSe/3z9X8P+ANTdOewt8l/bmONpCx\nd4QQIogE0tk7QgghupkUfSGECCJS9IUQIohI0RdCiCAiRV8IIYKIFH0hhAgiUvSFECKISNEXQogg\n8v8DXgfZHYxirTMAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.distplot(x, fit=stats.gamma) # 绘制直方图和核密度图,与拟合参数分布图对比" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 绘制双变量分布图\n", "sns.jointplot()函数" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "mean, cov = [0, 1], [(1, .5), (.5, 1)]\n", "data = np.random.multivariate_normal(mean, cov, 200)\n", "df = pd.DataFrame(data, columns=[\"x\", \"y\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 散点图(scatterplot)\n", "jointplot()默认绘制散点图" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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mwmrF6cdqxZmLS7YEGd+BrQgnD/EPPXjTfeY2t2K9PImZnSw+VjUeWuVagoCt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\nhJOF4ji+EpXA7e0f0soHnpr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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.jointplot(x=\"x\", y=\"y\", data=df) # 注意Seaborn与DataFrame联合使用,data参数指定DataFrame,x、y参数指定列名" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 六边形图(hexbin plot)\n", "六边形颜色的深浅,代表落入该六边形区域内观测点的数量,常应用于大数据集,与white主题结合使用效果最好" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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wsIDZ2VnbApXP5zE0NISRkRHb9RYEAV6vF1u2bEFvb68tx3Se5xEOh+H1epFO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x, y = np.random.multivariate_normal(mean, cov, 1000).T\n", "with sns.axes_style(\"white\"): # hexbin plot与white主题结合使用效果最好\n", " sns.jointplot(x=x, y=y, kind=\"hex\", color=\"k\") # kind参数设置六边形图,颜色设置与matplotlib相同" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 核密度图(kernel density estimation)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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S8RCngkIB5R7lxbkAtHSm96IIhZOIRyggBKCiOAeA5mP9DldiL4WTiMRF4egO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\nZWpP0s/iqgJKCrPZvr+HkfG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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.jointplot(x=\"x\", y=\"y\", data=df, kind=\"kde\")" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "You can also draw a two-dimensional kernel density plot with the :func:`kdeplot` function. This allows you to draw this kind of plot onto a specific (and possibly already existing) matplotlib axes, whereas the :func:`jointplot` function manages its own figure:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### sns.kdeplot()\n", "sns.kdeplot()也可以绘制双变量核密度图 \n", "\n", "sns.kdeplot()可以绘制在指定坐标系内,而sns.jointplot()只能单独绘制,无法添加在其他图表之上" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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3LTOIJ34xnbP5VFRUEBm5FTs7e/r27d/kdhKS6hK/rh/0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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(figsize=(6, 6))\n", "sns.kdeplot(df.x, df.y, ax=ax) # ax参数选择图表绘制在哪个坐标系内\n", "sns.rugplot(df.x, color=\"g\", ax=ax)\n", "sns.rugplot(df.y, vertical=True, ax=ax) # kdeplot()绘制的双变量核密度图,可以与其他图表叠加在同一个坐标系内" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 连续化核密度图" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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tSh+g+LNpVe2nWjVbSb92QtdW+y0jHvdZuq1v1AotwFYa8Zy3zZd+aNtU1R+K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\nDp7QeyFiz8SNVfnu562k36LK77eZV/q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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(figsize=(6, 6))\n", "cmap = sns.cubehelix_palette(as_cmap=True, dark=0, light=1, reverse=True)\n", "sns.kdeplot(df.x, df.y, cmap=cmap, n_levels=60, shade=True) # 通过n_levels参数,增加轮廓线的数量,达到连续化核密度图的效果" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### JointGrid对象\n", "sns.jointplot()绘制后返回JointGrid对象对象,可以通过JointGrid对象来修改图表,例如添加图层或修改其他效果" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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EiqycDPT3jWN4YAIFhVlGmxNTTCFSBEFEht2ejo7WQdltCgqz4OTdyNj6YgCA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\nvBL8/n1K1X3CvBKH2uKJSIomGtaViJZliw0GFJs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TKamhJe8pnGT2WFKS1BB7uyU1fMai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\nUpKkallSkqRq/Q/91JZ3jCuz2wAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = sns.jointplot(x=\"x\", y=\"y\", data=df, kind=\"kde\", color=\"m\") # 生成JointGrid对象\n", "g.plot_joint(plt.scatter, c=\"w\", s=30, linewidth=1, marker=\"+\")\n", "g.ax_joint.collections[0].set_alpha(0)\n", "g.set_axis_labels(\"$X$\", \"$Y$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 可视化数据集的成对关系\n", "sns.pairplot()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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33GsAzFxcih1939sMd912bcn6E9Z2gmwrbO2UQinP2btu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\nbrqhc9OFhUrNppVnIcQfWe2XUv6xlPLWwqfkLVZBfXpy8Hv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RYpTndinld4UQfyalTAH4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\nNME8TgY2Cki3YYM2YJBaEbYRxuxMLKmNBI+DbejGq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "iris = sns.load_dataset(\"iris\")\n", "sns.pairplot(iris) # 默认在对角线上绘制单变量的直方图" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### PairGrid对象" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Anaconda2\\lib\\site-packages\\matplotlib\\axes\\_axes.py:519: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n", " warnings.warn(\"No labelled objects found. \"\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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O4fHH5zsX/9h7LJXl67YSHhzInCnjOZFbzrd7tIT4ePDQjYl8f7yEU6V6kiJ9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6J9OXS0hOWphfhr7BgQbr1mfrNgFeVVeh4c3R9fj9M7JQwGA4sX/8lvv/1MWVkZarUNffr0o3//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C78eE3/U4Dy8jIA8vJObCCPGzKAlZt2sGb77igD2axT86dLx/OnT7ez4XA9Oyqa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\nQoO46/ppxEWEXXA7UlN38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SMHM2PMUFxUXadaHTlyDAaDgbfeeo0FC57mnXc+QMjSJyDw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IFHfv53l4gHvvnHPnzpk7733Pe77feVcGSLsBbNmXhVqlZPywAVjqxWqqHXmlyGUwMi0O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\nGB/rIBtjjDHGGONjHWRjjDHGGGN8/h884UoTTQJiYwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = sns.PairGrid(iris)\n", "g.map_diag(sns.kdeplot)\n", "g.map_offdiag(sns.kdeplot, cmap=\"Blues_d\", n_levels=6)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }