{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Piecewise exponential models and creating custom models\n", "\n", "This section will be easier if we recall our three mathematical \"creatures\" and the relationships between them. First is the survival function, $S(t)$, that represents the probability of living past some time, $t$. Next is the _always non-negative and non-decreasing_ cumulative hazard function, $H(t)$. Its relation to $S(t)$ is:\n", "\n", "$$ S(t) = \\exp\\left(-H(t)\\right)$$\n", "\n", "Finally, the hazard function, $h(t)$, is the derivative of the cumulative hazard: \n", "\n", "$$h(t) = \\frac{dH(t)}{dt}$$\n", "\n", "which has the immediate relation to the survival function:\n", "\n", "$$S(t) = \\exp\\left(-\\int_{0}^t h(s) ds\\right)$$\n", "\n", "Notice that any of the three absolutely defines the other two. Some situations make it easier to define one vs the others. For example, in the Cox model, it's easist to work with the hazard, $h(t)$. In this section on parametric univariate models, it'll be easiest to work with the cumulative hazard. This is because of an asymmetry in math: derivatives are much easier to compute than integrals. So, if we define the cumulative hazard, both the hazard and survival function are much easier to reason about versus if we define the hazard and ask questions about the other two.\n", "\n", "First, let's revisit some simpler parametric models. \n", "\n", "#### The Exponential model\n", "\n", "Recall that the Exponential model has a constant hazard, that is:\n", "\n", "$$ h(t) = \\frac{1}{\\lambda} $$\n", "\n", "which implies that the cumulative hazard, $H(t)$, has a pretty simple form: $H(t) = \\frac{t}{\\lambda}$. Below we fit this model to some survival data. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "%config InlineBackend.figure_format = 'retina'\n", "\n", "from matplotlib import pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "\n", "from lifelines.datasets import load_waltons\n", "waltons = load_waltons()\n", "T, E = waltons['T'], waltons['E']" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "number of subjects = 163\n", " number of events = 156\n", " log-likelihood = -771.913\n", " hypothesis = lambda_ != 1\n", "\n", "---\n", " coef se(coef) lower 0.95 upper 0.95 p -log2(p)\n", "lambda_ 51.831 4.149 43.699 59.963 <0.0005 112.218\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 263, "width": 608 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from lifelines import ExponentialFitter\n", "\n", "fig, ax = plt.subplots(nrows=1, ncols=2, figsize=(10, 4))\n", "\n", "epf = ExponentialFitter().fit(T, E)\n", "epf.plot_hazard(ax=ax[0])\n", "epf.plot_cumulative_hazard(ax=ax[1])\n", "\n", "ax[0].set_title(\"hazard\"); ax[1].set_title(\"cumulative_hazard\")\n", "\n", "epf.print_summary(3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This model does a poor job of fitting to our data. If I fit a _non-parametric_ model, like the Nelson-Aalen model, to this data, the Exponential's lack of fit is very obvious. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 316, "width": 474 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from lifelines import NelsonAalenFitter\n", "\n", "ax = epf.plot(figsize=(8,5))\n", "\n", "naf = NelsonAalenFitter().fit(T, E)\n", "ax = naf.plot(ax=ax)\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It should be clear that the single parameter model is just averaging the hazards over the entire time period. In reality though, the true hazard rate exhibits some complex non-linear behaviour.\n", "\n", "#### Piecewise Exponential models\n", "\n", "What if we could break out model into different time periods, and fit an exponential model to each of those? For example, we define the hazard as:\n", "\n", "$$ \n", "h(t) = \\begin{cases}\n", " \\lambda_0, & \\text{if $t \\le \\tau_0$} \\\\\n", " \\lambda_1 & \\text{if $\\tau_0 < t \\le \\tau_1$} \\\\\n", " \\lambda_2 & \\text{if $\\tau_1 < t \\le \\tau_2$} \\\\\n", " ... \n", " \\end{cases}\n", "$$\n", "\n", "This model should be flexible enough to fit better to our dataset. \n", "\n", "The cumulative hazard is only slightly more complicated, but not too much and can still be defined in Python. In _lifelines_, univariate models are constructed such that one _only_ needs to define the cumulative hazard model with the parameters of interest, and all the hard work of fitting, creating confidence intervals, plotting, etc. is taken care. \n", "\n", "For example, _lifelines_ has implemented the `PiecewiseExponentialFitter` model. Internally, the code is a single function that defines the cumulative hazard. The user specifies where they believe the \"breaks\" are, and _lifelines_ estimates the best $\\lambda_i$. \n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "number of subjects = 163\n", " number of events = 156\n", " log-likelihood = -647.118\n", " hypothesis = lambda_0_ != 1, lambda_1_ != 1, lambda_2_ != 1\n", "\n", "---\n", " coef se(coef) lower 0.95 upper 0.95 p -log2(p)\n", "lambda_0_ 162.989 27.144 109.787 216.191 <0.0005 28.630\n", "lambda_1_ 31.366 4.043 23.442 39.290 <0.0005 43.957\n", "lambda_2_ 4.686 0.624 3.462 5.910 <0.0005 28.055\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 277, "width": 601 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from lifelines import PiecewiseExponentialFitter\n", "\n", "# looking at the above plot, I think there may be breaks at t=40 and t=60. \n", "pf = PiecewiseExponentialFitter(breakpoints=[40, 60]).fit(T, E)\n", "\n", "fig, axs = plt.subplots(nrows=1, ncols=2, figsize=(10, 4))\n", "\n", "ax = pf.plot(ax=axs[1])\n", "pf.plot_hazard(ax=axs[0])\n", "\n", "ax = naf.plot(ax=ax, ci_show=False)\n", "axs[0].set_title(\"hazard\"); axs[1].set_title(\"cumulative_hazard\")\n", "\n", "pf.print_summary(3)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see a much better fit in this model. A quantitative measure of fit is to compare the log-likelihood between exponential model and the piecewise exponential model (higher is better). The log-likelihood went from -772 to -647, respectively. We could keep going and add more and more breakpoints, but that would end up overfitting to the data. \n", "\n", "#### Univarite models in _lifelines_\n", "\n", "I mentioned that the `PiecewiseExponentialFitter` was implemented using only its cumulative hazard function. This is not a lie. _lifelines_ has very general semantics for univariate fitters. For example, this is how the entire `ExponentialFitter` is implemented:\n", "\n", "```python\n", "class ExponentialFitter(ParametericUnivariateFitter):\n", "\n", " _fitted_parameter_names = [\"lambda_\"]\n", "\n", " def _cumulative_hazard(self, params, times):\n", " lambda_ = params[0]\n", " return times / lambda_\n", "```\n", "\n", "We only need to specify the cumulative hazard function because of the 1:1:1 relationship between the cumulative hazard function and the survival function and the hazard rate. From there, _lifelines_ handles the rest. \n", "\n", "\n", "#### Defining our own survival models\n", "\n", "\n", "To show off the flexability of _lifelines_ univariate models, we'll create a brand new, never before seen, survival model. Looking at the Nelson-Aalen fit, the cumulative hazard looks looks like their might be an asymptote at $t=80$. This may correspond to an absolute upper limit of subjects' lives. Let's start with that functional form.\n", "\n", "$$ H_1(t; \\alpha) = \\frac{\\alpha}{(80 - t)} $$\n", "\n", "We subscript $1$ because we'll investigate other models. In a _lifelines_ univariate model, this is defined in the following code. \n", "\n", "**Important**: in order to compute derivatives, you must use the numpy imported from the `autograd` library. This is a thin wrapper around the original numpy. Note the `import autograd.numpy as np` below. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from lifelines.fitters import ParametericUnivariateFitter\n", "\n", "import autograd.numpy as np\n", "\n", "class InverseTimeHazardFitter(ParametericUnivariateFitter):\n", " \n", " # we tell the model what we want the names of the unknown parameters to be\n", " _fitted_parameter_names = ['alpha_']\n", "\n", " \n", " # this is the only function we need to define. It always takes two arguments:\n", " # params: an iterable that unpacks the parameters you'll need in the order of _fitted_parameter_names\n", " # times: a vector of times that will be passed in.\n", " def _cumulative_hazard(self, params, times):\n", " alpha = params[0]\n", " return alpha /(80 - times)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "number of subjects = 163\n", " number of events = 156\n", " log-likelihood = -697.84\n", " hypothesis = alpha_ != 1\n", "\n", "---\n", " coef se(coef) lower 0.95 upper 0.95 p -log2(p)\n", "alpha_ 21.51 1.72 18.13 24.88 <0.005 106.22\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 316, "width": 474 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "itf = InverseTimeHazardFitter()\n", "itf.fit(T, E)\n", "itf.print_summary()\n", "\n", "ax = itf.plot(figsize=(8,5))\n", "ax = naf.plot(ax=ax, ci_show=False)\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The best fit of the model to the data is:\n", "\n", "$$H_1(t) = \\frac{21.51}{80-t}$$\n", "\n", "Our choice of 80 as an asymptote was maybe mistaken, so let's allow the asymptote to be another parameter:\n", "\n", "$$ H_2(t; \\alpha, \\beta) = \\frac{\\alpha}{\\beta-t} $$\n", "\n", "If we define the model this way, we need to add a bound to the values that $\\beta$ can take. Obviously it can't be smaller than or equal to the maximum observed duration. Generally, the cumulative hazard _must be positive and non-decreasing_. Otherwise the model fit will hit convergence problems. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "class TwoParamInverseTimeHazardFitter(ParametericUnivariateFitter):\n", " \n", " _fitted_parameter_names = ['alpha_', 'beta_']\n", " \n", " # Sequence of (min, max) pairs for each element in x. None is used to specify no bound\n", " _bounds = [(0, None), (75.0001, None)]\n", " \n", " def _cumulative_hazard(self, params, times):\n", " alpha, beta = params\n", " return alpha / (beta - times)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "number of subjects = 163\n", " number of events = 156\n", " log-likelihood = -685.57\n", " hypothesis = alpha_ != 1, beta_ != 76.0001\n", "\n", "---\n", " coef se(coef) lower 0.95 upper 0.95 p -log2(p)\n", "alpha_ 16.50 1.51 13.55 19.46 <0.005 79.98\n", "beta_ 76.55 0.38 75.80 77.30 0.15 2.73\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 316, "width": 480 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "two_f = TwoParamInverseTimeHazardFitter()\n", "two_f.fit(T, E)\n", "two_f.print_summary()\n", "\n", "ax = itf.plot(ci_show=False, figsize=(8,5))\n", "ax = naf.plot(ax=ax, ci_show=False)\n", "two_f.plot(ax=ax)\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the output, we see that the value of 76.55 is the suggested asymptote, that is:\n", "\n", "$$H_2(t) = \\frac{16.50} {76.55 - t}$$\n", "\n", "The curve also appears to track against the Nelson-Aalen model better too. Let's try one additional parameter, $\\gamma$, some sort of measure of decay. \n", "\n", "$$H_3(t; \\alpha, \\beta, \\gamma) = \\frac{\\alpha}{(\\beta-t)^\\gamma} $$\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from lifelines.fitters import ParametericUnivariateFitter\n", "\n", "class ThreeParamInverseTimeHazardFitter(ParametericUnivariateFitter):\n", " \n", " _fitted_parameter_names = ['alpha_', 'beta_', 'gamma_']\n", " _bounds = [(0, None), (75.0001, None), (0, None)]\n", " \n", " # this is the only function we need to define. It always takes two arguments:\n", " # params: an iterable that unpacks the parameters you'll need in the order of _fitted_parameter_names\n", " # times: a numpy vector of times that will be passed in by the optimizer\n", " def _cumulative_hazard(self, params, times):\n", " a, b, c = params\n", " return a / (b - times) ** c" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "number of subjects = 163\n", " number of events = 156\n", " log-likelihood = -649.38\n", " hypothesis = alpha_ != 1, beta_ != 76.0001, gamma_ != 1\n", "\n", "---\n", " coef se(coef) lower 0.95 upper 0.95 p -log2(p)\n", "alpha_ 1588776.28 3775137.44 -5810357.13 8987909.70 0.67 0.57\n", "beta_ 100.88 5.88 89.35 112.41 <0.005 15.38\n", "gamma_ 3.83 0.50 2.85 4.81 <0.005 25.82\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 316, "width": 480 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "three_f = ThreeParamInverseTimeHazardFitter()\n", "three_f.fit(T, E)\n", "three_f.print_summary()\n", "\n", "ax = itf.plot(ci_show=False, figsize=(8,5))\n", "ax = naf.plot(ax=ax, ci_show=False)\n", "ax = two_f.plot(ax=ax, ci_show=False)\n", "ax = three_f.plot(ax=ax)\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our new asymptote is at $t\\approx 100, \\text{c.i.}=(87, 112)$. The model appears to fit the early times better than the previous models as well, however our $\\alpha$ parameter has more uncertainty now. Continuing to add parameters isn't advisable, as we will overfit to the data. \n", "\n", "Why fit parametric models anyways? Taking a step back, we are fitting parameteric models and comparing them to the non-parametric Nelson-Aalen. Why not just always use the Nelson-Aalen model? \n", "\n", "1) Sometimes we have scientific motivations to use a parametric model. That is, using domain knowledge, we may know the system has a parametric model and we wish to fit to that model. \n", "\n", "2) In a parametric model, we are borrowing information from _all_ observations to determine the best parameters. To make this more clear, imagine take a single observation and changing it's value wildly. The fitted parameters would change as well. On the other hand, imagine doing the same for a non-parametric model. In this case, only the local survival function or hazard function would change. Because parametric models can borrow information from all observations, and there are much _fewer_ unknowns than a non-parametric model, parametric models are said to be more _statistical efficient._ \n", "\n", "3) Extrapolation: non-parametric models are not easily extended to values outside the observed data. On the other hand, parametric models have no problem with this. However, extrapolation outside observed values is a very dangerous activity. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 465, "width": 427 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(3, figsize=(7, 8), sharex=True)\n", "\n", "\n", "new_timeline = np.arange(0, 85)\n", "\n", "three_f = ThreeParamInverseTimeHazardFitter().fit(T, E, timeline=new_timeline)\n", "\n", "\n", "three_f.plot_hazard(label='hazard', ax=axs[0]).legend()\n", "three_f.plot_cumulative_hazard(label='cumulative hazard', ax=axs[1]).legend()\n", "three_f.plot_survival_function(label='survival function', ax=axs[2]).legend()\n", "\n", "fig.subplots_adjust(hspace=0)\n", "# Hide x labels and tick labels for all but bottom plot.\n", "for ax in axs:\n", " ax.label_outer()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3-parameter Weibull distribution\n", "\n", "We can easily extend the built-in Weibull model (`lifelines.WeibullFitter`) to include a new _location_ parameter:\n", "\n", "$$ H(t) = \\left(\\frac{t - \\theta}{\\lambda}\\right)^\\rho $$\n", "\n", "(When $\\theta = 0$, this is just the 2-parameter case again). In *lifelines* custom models, this looks like:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "import autograd.numpy as np\n", "from autograd.scipy.stats import norm\n", "\n", "# I'm shifting this to exaggerate the effect \n", "T = T + 10\n", "\n", "class ThreeParameterWeibullFitter(ParametericUnivariateFitter):\n", "\n", " _fitted_parameter_names = [\"lambda_\", \"rho_\", \"theta_\"]\n", " _bounds = [(0, None), (0, None), (0, T.min()-0.001)]\n", "\n", " def _cumulative_hazard(self, params, times):\n", " lambda_, rho_, theta_ = params\n", " return ((times - theta_) / lambda_) ** rho_\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "number of subjects = 163\n", " number of events = 156\n", " log-likelihood = -666.71\n", " hypothesis = lambda_ != 1, rho_ != 1, theta_ != 7.9995\n", "\n", "---\n", " coef se(coef) lower 0.95 upper 0.95 p -log2(p)\n", "lambda_ 63.92 5.38 53.38 74.47 <0.005 102.58\n", "rho_ 4.20 0.56 3.11 5.29 <0.005 26.67\n", "theta_ 2.55 5.05 -7.35 12.45 0.28 1.83\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 316, "width": 474 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tpw = ThreeParameterWeibullFitter()\n", "tpw.fit(T, E)\n", "tpw.print_summary()\n", "ax = tpw.plot_cumulative_hazard(figsize=(8,5))\n", "ax = NelsonAalenFitter().fit(T, E).plot(ax=ax, ci_show=False)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Inverse Gaussian distribution\n", "\n", "The inverse Gaussian distribution is another popular model for survival analysis. Unlike other model, it's hazard does not asympotically converge to 0, allowing for a long tail of survival. Let's model this, using the same parameterization from [Wikipedia](https://en.wikipedia.org/wiki/Inverse_Gaussian_distribution)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "from autograd.scipy.stats import norm\n", "\n", "\n", "class InverseGaussianFitter(ParametericUnivariateFitter):\n", " _fitted_parameter_names = ['lambda_', 'mu_']\n", " \n", " def _cumulative_density(self, params, times):\n", " mu_, lambda_ = params\n", " v = norm.cdf(np.sqrt(lambda_ / times) * (times / mu_ - 1), loc=0, scale=1) + \\\n", " np.exp(2 * lambda_ / mu_) * norm.cdf(-np.sqrt(lambda_ / times) * (times / mu_ + 1), loc=0, scale=1)\n", " return v\n", "\n", " def _cumulative_hazard(self, params, times):\n", " return -np.log(1-self._cumulative_density(params, times))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "number of subjects = 432\n", " number of events = 114\n", " log-likelihood = -729.80\n", " hypothesis = lambda_ != 1, mu_ != 1\n", "\n", "---\n", " coef se(coef) lower 0.95 upper 0.95 p -log2(p)\n", "lambda_ 7441.43 9296.67 -10779.69 25662.56 0.42 1.24\n", "mu_ 47.86 3.31 41.38 54.35 <0.005 148.83\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 248, "width": 385 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from lifelines.datasets import load_rossi\n", "rossi = load_rossi()\n", "\n", "igf = InverseGaussianFitter()\n", "igf.fit(rossi['week'], rossi['arrest'], timeline=np.arange(1, 500))\n", "igf.print_summary()\n", "igf.plot_hazard()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Bounded lifetimes using the beta distribution\n", "\n", "Maybe your data is bounded between 0 and some (unknown) upperbound M? That is, lifetimes can't be more than M. Maybe you know M, maybe you don't." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "n = 100\n", "T = 5 * np.random.random(n)**2\n", "T_censor = 10 * np.random.random(n)**2\n", "E = T < T_censor\n", "T_obs = np.minimum(T, T_censor)\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "from autograd_gamma import betainc, betaincln\n", "\n", "class BetaFitter(ParametericUnivariateFitter):\n", " _fitted_parameter_names = ['alpha_', 'beta_', \"m_\"]\n", " _bounds = [(0, None), (0, None), (T.max(), None)]\n", " _scipy_fit_method = \"SLSQP\"\n", "\n", " def _cumulative_hazard(self, params, times):\n", " alpha_, beta_, m_ = params\n", " return -betaincln(beta_, alpha_, 1-times / m_)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/camerondavidson-pilon/code/lifelines/lifelines/fitters/__init__.py:950: StatisticalWarning: The diagonal of the variance_matrix_ has negative values. This could be a problem with BetaFitter's fit to the data.\n", "\n", "It's advisable to not trust the variances reported, and to be suspicious of the\n", "fitted parameters too. Perform plots of the cumulative hazard to help understand\n", "the latter's bias.\n", "\n", "To fix this, try specifying an `initial_point` kwarg in `fit`.\n", "\n", " warnings.warn(warning_text, utils.StatisticalWarning)\n", "/Users/camerondavidson-pilon/code/lifelines/lifelines/fitters/__init__.py:462: RuntimeWarning: invalid value encountered in sqrt\n", " np.einsum(\"nj,jk,nk->n\", gradient_at_times.T, self.variance_matrix_, gradient_at_times.T)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "number of subjects = 100\n", " number of events = 66\n", " log-likelihood = -94.50\n", " hypothesis = alpha_ != 1, beta_ != 1, m_ != 5.95501\n", "\n", "---\n", " coef se(coef) lower 0.95 upper 0.95 p -log2(p)\n", "alpha_ 0.51 0.06 0.38 0.63 <0.005 46.27\n", "beta_ 0.87 0.13 0.60 1.13 0.32 1.64\n", "m_ 4.96 nan nan nan nan nan\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 248, "width": 362 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "beta_fitter = BetaFitter().fit(T_obs, E,)\n", "beta_fitter.plot()\n", "beta_fitter.print_summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Gompertz " ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "class GompertzFitter(ParametericUnivariateFitter):\n", " # this parameterization is slightly different than wikipedia. \n", " _fitted_parameter_names = ['nu_', 'b_']\n", "\n", " def _cumulative_hazard(self, params, times):\n", " nu_, b_ = params\n", " return nu_ * (np.expm1(times / b_))" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "number of subjects = 432\n", " number of events = 114\n", " log-likelihood = -697.81\n", " hypothesis = nu_ != 1, b_ != 1\n", "\n", "---\n", " coef se(coef) lower 0.95 upper 0.95 p -log2(p)\n", "nu_ 0.20 0.11 -0.01 0.40 <0.005 45.19\n", "b_ 55.19 19.26 17.45 92.93 <0.005 7.68\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 248, "width": 372 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ggf = GompertzFitter()\n", "ggf.fit(rossi['week'], rossi['arrest'], timeline=np.arange(1, 120))\n", "ggf.print_summary()\n", "ggf.plot_survival_function()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Discrete survival models\n", "\n", "So far we have only been investigating continous time survival models, where times can take on any positive value. If we want to consider discrete survival times (for example, over the positive integers), we need to make a small adjustment. With discrete survival models, there is a slightly more complicated relationship between the hazard and cumulative hazard. This is because there are two ways to define the cumulative hazard. \n", "\n", "$$H_1(t) = \\sum_i^t h(t_i) $$ \n", "\n", "$$H_2(t) = -\\log(S(t))$$\n", "\n", "We also no longer have the relationship that $h(t) = \\frac{d H(t)}{dt}$, since $t$ is no longer continous. Instead, depending on which verion of the cumulative hazard you choose to use (inference will be the same), we have to redefine the hazard function in *lifelines*. \n", "\n", "$$ h(t) = H_1(t) - H_1(t-1) $$\n", "$$ h(t) = 1 - \\exp(H_2(t) - H_2(t+1)) $$\n", "\n", "[Here is an example](https://stats.stackexchange.com/questions/417303/what-is-the-likelihood-for-this-process) of a discrete survival model, that may not look like a survival model at first, where we use a redefined `_hazard` function. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking for more examples of what you can build? See other unique survival models in the docs on [time-lagged survival](Modelling time-lagged conversion rates.ipynb)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }