{ "cells": [ { "cell_type": "markdown", "id": "d8dc9f40-5e4d-4f89-ad0e-ecbfc00792b0", "metadata": {}, "source": [ "# Sampling" ] }, { "cell_type": "markdown", "id": "943a7134", "metadata": {}, "source": [ "### Basic random variable sampling" ] }, { "cell_type": "code", "execution_count": 1, "id": "3db0934c-4909-4027-8141-b88a7d838905", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from relife.lifetime_models import Weibull\n", "\n", "weibull = Weibull(7, 0.05)" ] }, { "cell_type": "code", "execution_count": 2, "id": "2a7935c1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[22.74126812, 21.07048501],\n", " [16.12599226, 18.31960308],\n", " [22.61436487, 19.49711465]])" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "weibull.rvs((3, 2), seed=3)" ] }, { "cell_type": "markdown", "id": "7e69b323-6a5c-4ed4-8ab2-add26cb40d72", "metadata": {}, "source": [ "You can apply condition, either with initial ages or ages of replacement. `a0` and `ar` values must be broadcastable with the `rvs` size." ] }, { "cell_type": "code", "execution_count": 3, "id": "c1e9167a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[17.74133337, 16.07060372, 11.12661386, 13.31989001],\n", " [12.62501588, 9.52300994, 9.17180879, 11.8237418 ]])" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "weibull.apply_condition(a0=np.array([[5], [10]])).rvs((2, 4), seed=3)" ] }, { "cell_type": "code", "execution_count": 4, "id": "4a59cfdb", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[10. , 20. ],\n", " [10. , 18.31960308],\n", " [10. , 19.49711465],\n", " [10. , 20. ]])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "weibull.apply_condition(ar=np.array([10, 20])).rvs((4, 2), seed=3)" ] }, { "cell_type": "markdown", "id": "cf44629d", "metadata": {}, "source": [ "### Generate lifetimes from a renewal process" ] }, { "cell_type": "code", "execution_count": 5, "id": "ecc7b594", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "217\n" ] } ], "source": [ "from relife.sampling import sample_lifetimes_from_renewal_process\n", "\n", "lifetime_sample = sample_lifetimes_from_renewal_process(\n", " weibull, 40, time_window=(20, 100), ar=22, seed=3\n", ")\n", "print(len(lifetime_sample.time))" ] }, { "cell_type": "markdown", "id": "3790917a-2d98-4b22-a275-720b35aac201", "metadata": {}, "source": [ "The result is a named tuple of `time`, `event` and `entry`" ] }, { "cell_type": "code", "execution_count": 6, "id": "8897812b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[7. 0.05]\n", "[7.61306357 0.0492674 ]\n" ] } ], "source": [ "print(weibull.get_params())\n", "print(Weibull().fit(*lifetime_sample).get_params())" ] }, { "cell_type": "markdown", "id": "0954d466-3f1a-4db0-a0af-da5effeb21e3", "metadata": {}, "source": [ "To generate observations with different `covar`, we can loop on `sample_lifetimes_from_renewal_process` for different values of `covar`" ] }, { "cell_type": "code", "execution_count": 7, "id": "654c8744-098e-4cf9-bcb6-d43e552897ac", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[2. 1.5 7. 0.05]\n" ] } ], "source": [ "from relife.lifetime_models import ParametricProportionalHazard\n", "\n", "regression = ParametricProportionalHazard(weibull, coefficients=(2, 1.5))\n", "print(regression.get_params())" ] }, { "cell_type": "code", "execution_count": 8, "id": "585e611c-d0de-4670-a8e1-76be4c946972", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array(16.95257886)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "regression.mean(0.21, 0.18)" ] }, { "cell_type": "code", "execution_count": 9, "id": "ea691958-8672-4190-ab1e-c82d24c46877", "metadata": {}, "outputs": [], "source": [ "z1 = (0.3, 0.21) # 2 values of z1\n", "z2 = (0.12, 0.18) # 2 values of z2\n", "lifetime_sample_0 = sample_lifetimes_from_renewal_process(\n", " regression, 40, time_window=(20, 100), covar=(z1[0], z2[0])\n", ")\n", "lifetime_sample_1 = sample_lifetimes_from_renewal_process(\n", " regression, 40, time_window=(20, 100), covar=(z1[1], z2[1])\n", ")\n", "\n", "time = np.concat([lifetime_sample_0.time, lifetime_sample_1.time])\n", "event = np.concat([lifetime_sample_0.event, lifetime_sample_1.event])\n", "entry = np.concat([lifetime_sample_0.entry, lifetime_sample_1.entry])\n", "z1 = np.array(\n", " [\n", " z1[0],\n", " ]\n", " * len(lifetime_sample_0.time)\n", " + [\n", " z1[1],\n", " ]\n", " * len(lifetime_sample_1.time)\n", ")\n", "z2 = np.array(\n", " [\n", " z2[0],\n", " ]\n", " * len(lifetime_sample_0.time)\n", " + [\n", " z2[1],\n", " ]\n", " * len(lifetime_sample_1.time)\n", ")" ] }, { "cell_type": "code", "execution_count": 10, "id": "c4e03064-4373-47fe-b1f4-fef9f38cd9fe", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-0.28265442 -0.16647146 6.78505924 0.05403068]\n" ] } ], "source": [ "print(\n", " ParametricProportionalHazard(Weibull())\n", " .fit(time, covar=(z1, z2), event=event, entry=entry)\n", " .get_params()\n", ")" ] }, { "cell_type": "markdown", "id": "01eee933", "metadata": {}, "source": [ "### Sample renewal process" ] }, { "cell_type": "code", "execution_count": 11, "id": "98129aef", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(100, 349)\n", "(349,)\n" ] } ], "source": [ "from relife.sampling import sample_process\n", "from relife.stochastic_processes import RenewalProcess\n", "\n", "renewal_process = RenewalProcess(weibull)\n", "\n", "sample = sample_process(renewal_process, 100, (0, 75), seed=10)\n", "print(sample.events.shape)\n", "print(sample.timeline.shape)" ] }, { "cell_type": "markdown", "id": "cee142f0-97b7-4c8b-8559-6e8b03a75a9e", "metadata": {}, "source": [ "The sample size is 100, meaning 100 realizations of the stochastic process in (0, 75) time window." ] }, { "cell_type": "code", "execution_count": 12, "id": "18c8ceb0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "fig, ax = plt.subplots(figsize=(8, 6))\n", "cumul_events = sample.events.cumsum(axis=1)\n", "\n", "for sample_id in range(10):\n", " ax.plot(sample.timeline, cumul_events[sample_id], alpha=0.3, color=\"gray\")\n", "\n", "mean = cumul_events.mean(axis=0)\n", "std = cumul_events.std(axis=0)\n", "ax.plot(sample.timeline, mean, color=\"red\")\n", "ax.fill_between(sample.timeline, mean - std, mean + std, color=\"red\", alpha=0.2)" ] }, { "cell_type": "markdown", "id": "bed39d80", "metadata": {}, "source": [ "### Sample non-homogeneous Poisson process" ] }, { "cell_type": "code", "execution_count": 13, "id": "71c7922c", "metadata": {}, "outputs": [], "source": [ "from relife.stochastic_processes import NonHomogeneousPoissonProcess\n", "\n", "nhpp = NonHomogeneousPoissonProcess(weibull)\n", "sample = sample_process(nhpp, 100, (0, 100), ar=30, seed=10)" ] }, { "cell_type": "markdown", "id": "c852b4d1-4af0-4bd7-b2fe-c30fde521340", "metadata": {}, "source": [ "The sample size is 100, meaning 100 realizations of the stochastic process in (0, 100) time window. An age of replacement at 30 years is passed too." ] }, { "cell_type": "code", "execution_count": 14, "id": "1f266ba1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 6))\n", "cumul_events = sample.events.cumsum(axis=1)\n", "\n", "for sample_id in range(10):\n", " ax.plot(sample.timeline, cumul_events[sample_id], alpha=0.3, color=\"gray\")\n", "\n", "mean = cumul_events.mean(axis=0)\n", "std = cumul_events.std(axis=0)\n", "ax.plot(sample.timeline, mean, color=\"red\")\n", "ax.fill_between(sample.timeline, mean - std, mean + std, color=\"red\", alpha=0.2)" ] }, { "cell_type": "markdown", "id": "58fc7880", "metadata": {}, "source": [ "### Sample Kijima 1 process" ] }, { "cell_type": "code", "execution_count": 15, "id": "a97289d5", "metadata": {}, "outputs": [], "source": [ "from relife.stochastic_processes import Kijima1Process\n", "\n", "kijima_1 = Kijima1Process(weibull, q=0.7)\n", "sample = sample_process(kijima_1, 100, (0, 100), ar=25, seed=10)" ] }, { "cell_type": "code", "execution_count": 16, "id": "13f221e0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 6))\n", "cumul_events = sample.events.cumsum(axis=1)\n", "\n", "for sample_id in range(10):\n", " ax.plot(sample.timeline, cumul_events[sample_id], alpha=0.3, color=\"gray\")\n", "\n", "mean = cumul_events.mean(axis=0)\n", "std = cumul_events.std(axis=0)\n", "ax.plot(sample.timeline, mean, color=\"red\")\n", "ax.fill_between(sample.timeline, mean - std, mean + std, color=\"red\", alpha=0.2)" ] }, { "cell_type": "markdown", "id": "e76a0c8a", "metadata": {}, "source": [ "### Sample Kijima 2 process" ] }, { "cell_type": "code", "execution_count": 17, "id": "2c1e8061", "metadata": {}, "outputs": [], "source": [ "from relife.stochastic_processes import Kijima2Process\n", "\n", "kijima_2 = Kijima2Process(weibull, q=0.7)\n", "sample = sample_process(kijima_2.freeze(), 100, (0, 100), ar=25, seed=10)" ] }, { "cell_type": "code", "execution_count": 18, "id": "7023d85c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 6))\n", "cumul_events = sample.events.cumsum(axis=1)\n", "\n", "for sample_id in range(10):\n", " ax.plot(sample.timeline, cumul_events[sample_id], alpha=0.3, color=\"gray\")\n", "\n", "mean = cumul_events.mean(axis=0)\n", "std = cumul_events.std(axis=0)\n", "ax.plot(sample.timeline, mean, color=\"red\")\n", "ax.fill_between(sample.timeline, mean - std, mean + std, color=\"red\", alpha=0.2)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.0rc1" } }, "nbformat": 4, "nbformat_minor": 5 }