{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ad8e788e-fef5-40c8-a9ea-f3210e24a409",
   "metadata": {},
   "source": [
    "# Copule et chaîne de Markov\n",
    "\n",
    "Dans cette feuille, on s'intéresse à la simulation de vecteurs aléatoires. \n",
    "\n",
    "- Dans la première partie on simule un vecteur $(\\tau_1, \\dots, \\tau_n)$ dont la dépendance entre les composantes est donnée par une fonction copule, on parle de dépendance spatiale. \n",
    "- Dans la deuxième partie, on simule un vecteur $(X_0, \\dots, X_n)$ dont la dépendance est temporelle, c'est à dire qu'on construit $X_{k+1}$ à partir de $X_k$ et d'un aléa indépendant. C'est un exemple de chaîne de Markov."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61091c92-5312-424e-ae72-038e28f9b48d",
   "metadata": {},
   "source": [
    "## Copule Gaussienne et instants de défaut"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20cf86cc-75a6-4d46-8691-1541a15d3615",
   "metadata": {},
   "source": [
    "On considère la modélisation suivante: soit $\\tau_1, \\dots, \\tau_n$ des variables aléatoires exponentielles de paramètre $\\lambda_i > 0$ qui représentent $n$ instants de défaut (instant de défaillance d'un composant en fiabilité, instant de défaut d'une entreprise en finance, instant de mutation en biologie, etc). On suppose que ces $n$ instants sont corrélés par la copule Gaussienne $C$ de matrice de covariance $\\Sigma_{i,i} = 1$ et $\\Sigma_{i,j} = \\rho \\in [0,1]$ pour $i \\neq j$. \n",
    "\n",
    "Dans un premier temps on s'intéresse à la simulation du vecteur $U = (U_1,\\dots,U_n)$ correspondant à la copule $C$ i.e. pour tout $i \\in \\{1,\\dots,n\\}, U_i \\sim \\mathcal{U}([0,1])$ et $C(u_1,\\dots,u_n) = \\mathbf{P}[U_1 \\le u_1,\\dots,U_n\\le u_n]$. On peut montrer que $U$ se représente sous la forme \n",
    "\n",
    "$$\n",
    "    \\forall i \\in \\{1,\\dots,n\\}, \\quad U_i = \\Phi\\bigl(\\sqrt{\\rho} G_0 + \\sqrt{1 - \\rho} G_i \\bigr),\n",
    "$$\n",
    "\n",
    "où $(G_0,G_1,\\dots, G_n)$ est un vecteur normal standard de $\\mathbf{R}^{n+1}$ et $\\Phi$ est la fonction de répartition gaussienne standard (fonction `norm` dans le module `scipy.stats`). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "36880c49-6287-4ab6-aee9-04942e01bcd4",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "sns.set_theme() \n",
    "from numpy.random import default_rng\n",
    "rng = default_rng()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eac4c72d-349d-4a45-9fd6-8ec2b2991c86",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: simulation de la copule gaussienne\n",
    "\n",
    "Ecrire une fonction qui prend 3 arguments: `size`, `n` et `rho` et qui renvoie un échantillon de taille `size` de réalisations $(U_1,\\dots,U_n)$ obtenues par la construction précédente.  \n",
    "Dans toute la suite `n` est la dimension de la copule qui sera par exemple 10, et non le nombre de réalisations considérées. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "8cd7ef6b-cf35-491d-8d38-64d0848f142e",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "def copule_gaussienne(size, n, rho):\n",
    "    G = rng.standard_normal(size = (n+1, size))\n",
    "    G_correl = np.sqrt(rho) * G[0] + np.sqrt(1-rho) * G[1:] # shape (n, size)\n",
    "    U = stats.norm.cdf(G_correl) # cumulative distribution function\n",
    "    return U # shape (n, size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a86110fe-698c-4c55-8c37-16868abaf1b7",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.4981555 , 0.30621438, 0.88288482, ..., 0.67963183, 0.47981863,\n",
       "        0.24311191],\n",
       "       [0.11691311, 0.651983  , 0.94789075, ..., 0.88158859, 0.17341783,\n",
       "        0.70362809]], shape=(2, 10000))"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "size, n = 10000, 2\n",
    "rho = 0.5\n",
    "U = copule_gaussienne(size, n, rho)\n",
    "U"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "854640e2-ea88-450d-bc2f-dc5c3e0ea194",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: représentation de la copule gaussienne \n",
    "\n",
    "Reproduire le tracé suivant à partir d'échantillons $\\big(U_1^{(j)}, U_2^{(j)}\\big)_{1 \\le j \\le M}$ de taille $M = 2000$ de réalisations de la copule gaussienne en dimension 2 et de corrélation $\\rho= 0.2$ puis $\\rho = 0.8$. Que remarquez-vous?  \n",
    "\n",
    "Compléter ce tracé en vérifiant graphiquement que la loi empirique de chaque composante $\\big(U_i^{(j)}\\big)_{1 \\le j \\le M}$ pour $i=1,2$ est proche de la loi uniforme sur $[0,1]$. Vous pouvez augmenter la taille de $M$.\n",
    "\n",
    "![](img/copula.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e3b753f6-52b8-4270-8697-b1b726960c8d",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x450 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "size = 2000\n",
    "n = 2\n",
    "\n",
    "fig, axs = plt.subplots(nrows=1, ncols=2, figsize=(8, 4.5), layout='tight')\n",
    "for rho, ax in zip((0.1, 0.9), axs):\n",
    "    sample = copule_gaussienne(size, n, rho)\n",
    "    ax.scatter(sample[0], sample[1], alpha=0.5)\n",
    "    ax.set_title(fr\"$\\rho=${rho}\")\n",
    "fig.suptitle(fr\"Gaussian copula in dimension {n} for different values of $\\rho$\")\n",
    "plt.show()\n",
    "#plt.savefig('img/copula.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7006fd5d-8416-44e5-95d6-e5d9c1556ae0",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x450 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "size = 200000\n",
    "n = 2\n",
    "\n",
    "fig, axs = plt.subplots(nrows=2, ncols=2, figsize=(8, 4.5), layout='tight')\n",
    "for rho, ax in zip((0.1, 0.9), axs):\n",
    "    sample = copule_gaussienne(size, n, rho)\n",
    "    ax[0].hist(sample[0], density=True)\n",
    "    ax[1].hist(sample[1], density=True)\n",
    "    ax[0].set_title(fr\"$\\rho=${rho}, histogram of the first component\")\n",
    "    ax[1].set_title(fr\"$\\rho=${rho}, histogram of the second component\")\n",
    "fig.suptitle(fr\"Gaussian copula in dimension {n} for different values of $\\rho$\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe0bf92f-95e7-4698-ad77-178ca006f18c",
   "metadata": {},
   "source": [
    "On revient maintenant au problème des instants de défaut dont on rappelle que $\\tau_i \\sim \\mathcal{E}(\\lambda_i)$. On s'intéresse à la variable aléatoire \n",
    "\n",
    "$$\n",
    "    X = \\sum_{i = 1}^n \\mathbf{1}_{\\tau_i \\le 1}.\n",
    "$$\n",
    "\n",
    "C'est donc une **variable aléatoire discrète** à valeurs dans $\\{0,\\dots,n \\}$. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7105f783-f2d3-4cc7-ac33-42e6c139dda6",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: simulation des instants de défaut\n",
    "\n",
    "Ecrire une fonction (avec les arguments adhoc) pour simuler un échantillon de $X$.  \n",
    "On utilise dans la suite $n =20$ instants de défaut et $\\lambda_i = 0.4$ pour tout $i \\in \\{1,\\dots,n\\}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0cfd3eed-4028-40f8-9ee5-f617aaaad09b",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "def instants_defaut(size, n, rho, lambd):\n",
    "    U = copule_gaussienne(size, n, rho)   # shape (n, size) \n",
    "    tau = -np.log(U) / lambd              # ou E.ppf(U) si E = stats.expon(scale=1/lambd)\n",
    "    return np.sum(tau <= 1, axis=0)       # shape (size, )\n",
    "# il est important d'apprendre à utiliser les vecteurs de booléens: une valeur True vaut 1 et une valeur False vaut 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b235754e-0c8f-4ae5-a550-01f6211dbf7e",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1,  6,  7,  9,  7,  8,  6, 10,  1,  2,  4,  3,  0, 14, 12,  4,  1,\n",
       "        6, 18, 12,  3,  7, 10,  4,  2, 12,  3,  7,  5, 11,  0, 15,  1, 11,\n",
       "       11, 10,  7,  7,  7,  2,  6,  2,  9,  1,  4, 11,  3,  4,  4, 13,  6,\n",
       "        6, 16,  4,  0,  3,  8, 11,  0, 19,  2, 13,  3,  5,  1, 16,  3,  4,\n",
       "        2, 10, 16,  9,  2,  3, 11,  2,  2,  6, 13, 13,  5,  7, 16,  0, 14,\n",
       "        1,  2, 10,  8, 19,  5,  2,  0,  0,  2,  9, 11,  2,  2, 15])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "instants_defaut(size=100, n=20, rho=0.4, lambd=0.4)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ff4e517e-9a61-4de3-a094-effb296b8a4e",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: création d'un ensemble de scénarios `samples`\n",
    "\n",
    "Créer un vecteur `rhos` de taille 4 avec les valeurs $(0,0.2,0.6,0.8)$ et créer une matrice `samples` de 4 lignes et 20000 colonnes, dont chaque ligne sera remplie par des simulations de $X$ pour une valeur de `rho` donnée.\n",
    "Remplir cette matrice avec réalisations de $X$. Il faut que les éléments de la matrice `sample` soit de type entier `np.int64`.\n",
    "\n",
    "Cette matrice sera utilisée dans la suite pour le calcul de la moyenne et le tracé des histogrammes.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "7717c61d-dd0c-467c-a2a1-1d810b2269a1",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "size = 100000\n",
    "n = 20\n",
    "lambd = 0.4\n",
    "rhos = [0, 0.2, 0.6, 0.98]\n",
    "samples = np.empty((len(rhos), size), dtype=np.int64)\n",
    "for k, rho in enumerate(rhos):\n",
    "    samples[k] = instants_defaut(size, n, rho, lambd)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7da1000-dbf3-4703-a645-0416a2b280c6",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: calcul de la moyenne \n",
    "\n",
    "Calculer (mathématiquement) $\\mathbf{E}[X]$ en fonction de $\\rho$ et vérifier ce résultat en calculant la moyenne empirique de chaque ligne de la matrice `samples` des réalisations de $X$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "ebb66179-cdf1-4a39-ac22-d23cc6f23e1d",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "theoritical mean: 6.5935990792872134\n"
     ]
    }
   ],
   "source": [
    "print(\"theoritical mean:\", n*(1-np.exp(-lambd)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e6d68138-2884-4308-94f9-4ff5b859e33c",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "empirical means for different values of rho: \n",
      " rhos =  [0, 0.2, 0.6, 0.98] \n",
      " means =  [6.60115 6.59998 6.59804 6.58607]\n"
     ]
    }
   ],
   "source": [
    "print(\"empirical means for different values of rho:\", \"\\n rhos = \", rhos, \"\\n means = \", samples.mean(axis=1))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "24a76c81-5cb5-43f0-8f92-7f474c1870dd",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: représentation graphique de `samples` \n",
    "\n",
    "![](img/empirical_X.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "32e7724f-6fc2-4cbf-b197-9bf35b2a038c",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "support = np.arange(n+1)\n",
    "\n",
    "fig, axs = plt.subplots(nrows=2, ncols=2, figsize=(10, 8), layout='tight')\n",
    "for rho, ax, sample in zip(rhos, axs.flat, samples):\n",
    "    empirical_prop = np.bincount(sample, minlength=n+1) / size\n",
    "    ax.bar(support, empirical_prop, label='Empirical proportion')\n",
    "    ax.axvline(sample.mean(), ymin=0, ymax=1.0, color='C1', label='Empirical mean')\n",
    "    ax.set_title(fr\"$\\rho=${rho}\")\n",
    "    ax.set_xticks(support)\n",
    "    ax.legend()\n",
    "fig.suptitle(fr\"Empirical distribution of $X$ for different values of $\\rho$\")\n",
    "plt.show()\n",
    "#plt.savefig('img/empirical_X.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "99955b92-dc96-4c8f-9563-e023c24dfa99",
   "metadata": {},
   "source": [
    "## Simulation d'une chaîne de Markov: Urnes d'Ehrenfest\n",
    "\n",
    "On considère $d$ balles ($d > 1$) numérotées de 1 à $d$ et réparties initialement dans deux urnes $A$ et $B$. On note $E = \\{1,\\dots,d\\}$ l'ensemble des balles et on s'intéresse à l'évolution du contenu des urnes après un nombre $n \\ge 1$ de changements d'états. Un changement d'état est modélisé de la façon suivante: \"_on tire un numéro de balle selon la loi uniforme sur $E$ et à un tirage $i$ on déplace la balle numéro $i$ d'une urne à l'autre_\". Le contenu des urnes change au cours du temps et on note $A_n$ le contenu de $A$ à l'itération $n$ (de même $B_n$ est le contenu de $B$ au temps $n$). Ce modèle porte le nom d'[Urnes d'Ehrenfest](https://fr.wikipedia.org/wiki/Mod%C3%A8le_des_urnes_d%27Ehrenfest). \n",
    "\n",
    "Dans le programme de test on prendra $d = 20$ c'est à dire $E = \\{1,\\dots,20\\}$ et le contenu initial $A_0 = \\{1,\\dots,10\\}$. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f6430dd0-2098-4e99-85b3-91d4465b6df8",
   "metadata": {},
   "source": [
    "### Approche naïve\n",
    "\n",
    "On commence par une approche naïve qui consiste à programmer l'évolution du contenu de l'urne. Si on s'intéresse uniquement au nombre de balles dans chaque urne, il est plus commode d'utiliser la propriété de Markov du système, aussi bien pour l'étude mathématique que pour la programmation."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e7effa6b-61d8-48d9-b41a-d685e139db0b",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question: pour manipuler le type `list`\n",
    "\n",
    "En utilisant le type `list` initaliser les listes `E` et `A_0`, puis programmer l'évolution du contenu de l'urne pas à pas (par exemple en utilisant les méthodes `remove` et `append`). Afficher le résultat `A_n` et `B_n` après `n = 100` itérations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "2cb45979-c8e5-4f1c-b9dd-91c35b7cf2b7",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-03-07T16:54:12.893862Z",
     "start_time": "2022-03-07T16:54:12.881667Z"
    },
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "d = 20\n",
    "E = list(range(1,d+1))\n",
    "A = list(range(1,11))\n",
    "B = [i for i in E if not(i in A)]\n",
    "\n",
    "n = 100\n",
    "A_0 = A.copy()\n",
    "for k in range(n):\n",
    "    i = rng.integers(1, d+1)\n",
    "    if i in A:\n",
    "        A.remove(i)\n",
    "    else:\n",
    "        A.append(i)\n",
    "A_n = A.copy()\n",
    "B_n = [i for i in E if not(i in A_n)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "d4c16242-38cb-4ffd-bf92-8d02c210982b",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-03-07T16:54:12.900434Z",
     "start_time": "2022-03-07T16:54:12.897326Z"
    },
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A_0 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
      "A_n = [np.int64(20), np.int64(12), np.int64(18), np.int64(1), np.int64(10), np.int64(2), np.int64(19), np.int64(17)]\n",
      "B_n = [3, 4, 5, 6, 7, 8, 9, 11, 13, 14, 15, 16]\n"
     ]
    }
   ],
   "source": [
    "print(f\"A_0 = {A_0}\")\n",
    "print(f\"A_n = {A_n}\")\n",
    "print(f\"B_n = {B_n}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6850ed86-fd79-4a46-be3a-9db1fadaacab",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question: pour manipuler le type `set`\n",
    "\n",
    "Reprendre la question précédente avec le type `set` et les méthodes associées: `add` et `remove`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "5d19b6af-03a6-4259-b02e-aa6fab9d5d82",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-03-07T16:54:12.917952Z",
     "start_time": "2022-03-07T16:54:12.903378Z"
    },
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "d = 20\n",
    "E = set(range(1,d+1))\n",
    "A = set(range(1,11))\n",
    "B = E - A\n",
    "\n",
    "n = 100\n",
    "A_0 = A.copy()\n",
    "for k in range(n):\n",
    "    i = rng.integers(1, d+1)\n",
    "    if i in A:\n",
    "        A.remove(i)\n",
    "    else:\n",
    "        A.add(i)\n",
    "A_n = A.copy()\n",
    "B_n = E - A_n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "8360a7c1-bf0f-4ef9-a3a7-56d1f3ec197b",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-03-07T16:54:12.922426Z",
     "start_time": "2022-03-07T16:54:12.919255Z"
    },
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A_0 = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}\n",
      "A_n = {np.int64(3), np.int64(4), np.int64(5), np.int64(7), np.int64(8), np.int64(9), np.int64(10), np.int64(11), np.int64(12), np.int64(14), np.int64(15), np.int64(18), np.int64(19), np.int64(20)}\n",
      "B_n = {1, 2, 6, 13, 16, 17}\n"
     ]
    }
   ],
   "source": [
    "print(f\"A_0 = {A_0}\")\n",
    "print(f\"A_n = {A_n}\")\n",
    "print(f\"B_n = {B_n}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b23a99ea-95d8-4690-8416-8e7e2c55e383",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question facultative\n",
    "\n",
    "Cette construction itérative nécessaire dans des dynamiques plus complexes peut être améliorée de la façon suivante. Si on construit un vecteur `sample` des `n` réalisations de la loi uniforme sur $E$, on peut en déduire directement la composition des urnes à l'itération $n$. En effet la balle $i$ n'a pas changé d'urne entre 0 et $n$ si et seulement si le numéro $i$ apparait un nombre pair de fois dans `sample`.\n",
    "\n",
    "Construire directement `A_n` et `B_n` à partir d'un vecteur `sample` de taille `n` qui contient les réalisations de la loi uniforme sur $E$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "fa9fed65-018d-449b-b745-617a50d9f082",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-03-07T16:54:12.932108Z",
     "start_time": "2022-03-07T16:54:12.924936Z"
    },
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "d = 20\n",
    "E = set(range(1,d+1))\n",
    "A = set(range(1,11))\n",
    "B = E - A\n",
    "\n",
    "n = 100\n",
    "sample = rng.integers(size = n, low=1, high=d+1)\n",
    "A_n = set()\n",
    "for k in A:\n",
    "    if np.sum(sample == k) % 2 == 0:\n",
    "        A_n.update({k})\n",
    "for k in E - A:\n",
    "    if np.sum(sample == k) % 2 == 1:\n",
    "        A_n.update({k})\n",
    "        \n",
    "B_n = E - A_n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "658fac2b-9a00-4f4d-bd5e-cb6f4c312659",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-03-07T16:54:12.937474Z",
     "start_time": "2022-03-07T16:54:12.934188Z"
    },
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A_0 = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}\n",
      "A_n = {1, 2, 17, 19, 5, 9, 12, 15}\n",
      "B_n = {3, 4, 6, 7, 8, 10, 11, 13, 14, 16, 18, 20}\n"
     ]
    }
   ],
   "source": [
    "print(f\"A_0 = {A_0}\")\n",
    "print(f\"A_n = {A_n}\")\n",
    "print(f\"B_n = {B_n}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "03408529-c663-4580-a43e-31fbeea7ae26",
   "metadata": {},
   "source": [
    "### Modélisation en tant que chaîne de Markov"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "265a3304-71c1-47cc-a699-b3db2e9568fc",
   "metadata": {},
   "source": [
    "On s'intéresse maintenant non plus à la composition de l'urne $A_n$ mais uniquement à sa taille. On note $X_n = \\mathrm{Card}(A_n)$. L'évolution de $X_n$ se fait de la façon suivante: si l'urne $A_n$ contient $X_{n}$ balles alors la probabilité de tirer une balle présente dans $A_n$ est $\\frac{X_{n}}{d}$. Ainsi avec probabilité $\\frac{X_{n}}{d}$, $X_{n+1} = X_n - 1$ (car on déplace la balle dans l'urne $B$), et avec probabilité $\\frac{d-X_n}{d}$ on a $X_{n+1} = X_n + 1$. La récurrence aléatoire suivante permet de construire une trajectoire $(X_0, \\dots, X_n)$ \n",
    "\n",
    "$$\n",
    "    \\forall k \\ge 0, \\quad X_{k+1} = X_k + 1 - 2 \\mathbf{1}_{ \\left\\{U_{k+1} < \\frac{X_k}{d} \\right\\}}, \\qquad X_0 \\in \\{0,\\dots,d\\},\n",
    "$$\n",
    "\n",
    "avec $(U_k)_{k \\ge 1}$ une suite de variables aléatoires indépendantes de loi uniforme sur $[0,1]$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "958ec13c-0c4f-4139-bede-b4e92d688668",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question: simulation de $N$ trajectoires \n",
    "\n",
    "Ecrire une fonction qui permet de simuler $N$ trajectoires indépendantes $(X_0^{(j)},\\dots, X_n^{(j)})_{1 \\le j \\le N}$ de la dynamique précédente, et qui renvoie donc un `np.array` de dimension `(N, n+1)` qui contient ces trajectoires. A vous déterminer les arguments de cette fonction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "6d92cd55-5092-4692-a6af-7c8f6d46cfba",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "def ehrenfest(x0, n, N):\n",
    "    uniforms = rng.uniform(size=(n, N))\n",
    "    sample = np.zeros(shape=(n+1, N), dtype=np.int64)\n",
    "    sample[0] = x0\n",
    "    for k in range(1,n+1):\n",
    "        sample[k] = sample[k-1] + 1 - 2 * (uniforms[k-1] < sample[k-1] / d)\n",
    "    return sample.T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "0015e8d9-d8e3-4ec7-a668-448e72d0db39",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[10,  9, 10,  9,  8,  7,  8,  9, 10, 11, 12],\n",
       "       [10,  9, 10, 11, 12, 11, 10, 11, 10, 11, 12],\n",
       "       [10,  9,  8,  9, 10,  9, 10, 11, 12, 13, 12],\n",
       "       [10,  9,  8,  9, 10,  9, 10,  9,  8,  7,  6],\n",
       "       [10, 11, 12, 13, 12, 11, 10, 11, 12, 11, 12]])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ehrenfest(10, 10, 5)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f1b08152-72c9-4330-83b3-e45cec91099e",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question: affichage de trajectoires \n",
    "\n",
    "Reproduire le graphe suivant qui représente l'évolution de 5 trajectoires de $(X_k)_{0 \\le k \\le n}$ avec $n=20$. \n",
    "\n",
    "![](img/paths.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "8b2ad2e4-bb9f-40f9-a25d-543d0544b4cc",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x0 = 10\n",
    "n = 20\n",
    "sample = ehrenfest(x0=x0, n=n, N=5)\n",
    "fig, ax = plt.subplots(layout='tight')\n",
    "for j, path in enumerate(sample):\n",
    "    ax.plot(path, alpha=0.5, label=f\"path {j}\")\n",
    "    ax.set_xticks(np.arange(n+1))\n",
    "    ax.legend()\n",
    "plt.show()\n",
    "#plt.savefig('img/paths.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d17c0fdd-dfcd-4f12-ab26-877cac031430",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question: représentation de la loi après $n$ itérations \n",
    "\n",
    "Représenter la distribution empirique de $(X^{(j)}_n)_{1 \\le j \\le N}$ pour $N=100\\,000$ et deux valeurs de $n$, $n = 100$ puis $n = 101$. Que remarque-t-on? Etait-ce prévisible? "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "91045007-d36c-47ba-931e-b31b9c9a7963",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 100000\n",
    "\n",
    "fig, axs = plt.subplots(nrows=1, ncols=2, figsize=(10,4), layout='tight', sharey=True)\n",
    "for n, ax in zip((100, 101), axs):\n",
    "    sample = ehrenfest(x0, n, N)\n",
    "    support = np.arange(d+1)\n",
    "    # une façon via bincount\n",
    "    empirical_prop = np.bincount(sample[:,-1], minlength=d+1) / N\n",
    "    ax.bar(x=support, height=empirical_prop, label='Empirical proportion')\n",
    "    # une autre façon via histogram \n",
    "    #histo = np.histogram(sample[:,-1], bins=np.arange(d+2), density=True) \n",
    "    #ax.bar(x=support, height=histo[0])\n",
    "    ax.set_xticks(support)\n",
    "    ax.set_title(f\"n = {n}\")\n",
    "plt.show()\n",
    "# la chaine de Markov est de période 2\n",
    "# les lois de X_{2n} et X_{2n+1} sont portées par des ensembles disjoints"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2308287a-fd8c-4a1c-bb2e-359ddfbca5a5",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question: modification de la dynamique\n",
    "\n",
    "On modifie un peu la modélisation précédente en considérant la règle suivante: _\"on tire un numéro de balle selon la loi uniforme sur $E$ et à un tirage $i$ on déplace la balle numéro $i$ d'une urne à l'autre **avec probabilité 1/2**\"_.\n",
    "\n",
    "Refaire les questions précédentes avec ce nouveau modèle.\n",
    "On peut montrer que si $X_{n} \\sim \\mathcal{B}\\bigl(d, \\frac{1}{2}\\bigr)$ (loi binomiale) alors $X_{n+1} \\sim \\mathcal{B}\\bigl(d, \\frac{1}{2}\\bigr)$. On dit que la loi binomiale $\\mathcal{B}\\bigl(d, \\frac{1}{2}\\bigr)$ est invariante pour la chaine de Markov. De plus pour toute configuration initiale $X_0$ la chaine $(X_n)_{n \\ge 0}$ converge en loi vers cette mesure invariante $\\mathcal{B}\\bigl(d, \\frac{1}{2}\\bigr)$. On veut illustrer cette convergence.\n",
    "\n",
    "Comparer cette loi binomiale avec l'histogramme empirique de la loi $X_n$ pour $n$ grand (par exemple $n = 100$, vous pouvez choisir $X_0$ fixé à 10)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "0ae1e66b-f43b-4803-8297-65c0154e929e",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "def ehrenfest_modif(x0, n, N):\n",
    "    uniforms = rng.uniform(size=(n, 2, N))\n",
    "    sample = np.zeros(shape=(n+1, N), dtype=np.int64)\n",
    "    sample[0] = x0\n",
    "    for k in range(1,n+1):\n",
    "        sample[k] = sample[k-1] + (1 - 2 * (uniforms[k-1, 0] < sample[k-1] / d)) * (uniforms[k-1, 1] < 0.5)\n",
    "    return sample.T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "7982a1ad-d0f6-41af-a87f-beba550fb53a",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 100000\n",
    "binom = stats.binom(n = d, p = 0.5)\n",
    "\n",
    "fig, axs = plt.subplots(nrows=1, ncols=2, figsize=(10,4), layout='tight', sharey=True)\n",
    "for n, ax in zip((100, 101), axs):\n",
    "    sample = ehrenfest_modif(x0, n, N)\n",
    "    support = np.arange(d+1)\n",
    "    # une façon via bincount\n",
    "    empirical_prop = np.bincount(sample[:,-1], minlength=d+1) / N\n",
    "    ax.bar(x=support, height=empirical_prop, label='Emp. proportion')\n",
    "    # une autre façon via histogram \n",
    "    #histo = np.histogram(sample[:,-1], bins=np.arange(d+2), density=True) \n",
    "    #ax.bar(x=support, height=histo[0])\n",
    "\n",
    "    ax.scatter(support, binom.pmf(support), label='Binom. mass function')\n",
    "    ax.vlines(support, 0, binom.pmf(support), color='C1', lw=2, alpha=1)\n",
    "    ax.legend()\n",
    "    ax.set_xticks(support)\n",
    "    ax.set_title(f\"n = {n}\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "348ad0c1-7be4-47f9-8731-30ff57e37cff",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "c204b7fe-c569-47de-9515-cff937fb6fc7",
   "metadata": {},
   "source": [
    "## Processus de Poisson \n",
    "\n",
    "On considère un processus de Poisson de paramètre (ou intensité) $\\lambda > 0$, c'est à dire un processus de comptage associé à un processus ponctuel $(T_n)_{n \\ge 1}$ où les variables aléatoires $T_n$ (appelées instants de sauts) sont définies par\n",
    "\\begin{equation*}\n",
    "    \\forall n \\ge 1, \\quad T_n - T_{n-1} = S_n, \\qquad \\text{en posant $T_0 = 0$}\n",
    "\\end{equation*}\n",
    "avec $(S_n)_{n \\ge 1}$ suite _i.i.d._ de loi exponentielle de paramètre $\\lambda > 0$.\n",
    "\n",
    "Pour tout $t \\ge 0$, on définit \n",
    "\\begin{equation*}\n",
    "    N_t = \\sum_{n \\ge 0} \\mathbf{1}_{T_n \\le t},\n",
    "\\end{equation*}\n",
    "et on veut simuler une trajectoire de $(N_t)_{t \\in [0,T]}$ pour un horizon  $T > 0$ fixé. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ddbbba1c-f7fe-4f21-b09b-7a896565bae1",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: simulation de trajectoires \n",
    "\n",
    "Ecrire une fonction `one_poisson_path(lambd, T)` qui renvoie les instants $(T_0, \\dots, T_n)$ d'un processus de Poisson d'intensité `lambd` restreint à $[0, T]$. Par convention, on veut que le dernier point du tableau renvoyé soit $T$.  \n",
    "Reproduire le tracé suivant.  \n",
    "![](img/poisson.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "99d6cb7f-c2d8-4729-b31b-4668d9707465",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "def one_poisson_path(lambd, T):\n",
    "    times = np.zeros(1)\n",
    "    Tk = 0\n",
    "    while Tk < T:\n",
    "        Tk = Tk + rng.standard_exponential() / lambd\n",
    "        times = np.append(times, Tk)\n",
    "    times[-1] = T\n",
    "    return times"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2925886b-0069-45ad-a3b3-be84bff64911",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "n = 20\n",
    "lambd, T = 10, 1\n",
    "paths = [ one_poisson_path(lambd, T) for _ in range(n) ]\n",
    "\n",
    "def count(size):\n",
    "    return np.append(np.arange(size), size-1)\n",
    "\n",
    "fig, ax = plt.subplots(layout='tight')\n",
    "for path in paths:\n",
    "    ax.step(path, count(len(path)-1), where='post')\n",
    "    ax.set_title(fr\"{n} trajectoires d'un processus de Poisson d'intensité $\\lambda=${lambd}\")\n",
    "    ax.set_yticks(2*np.arange(0, 11))\n",
    "plt.show()\n",
    "#plt.savefig('img/poisson.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e324299-9b18-4156-b4e3-d5e8f578d823",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: simulation alternative \n",
    "\n",
    "On rappelle que si $(N_t)_{t \\ge 0}$ est un processus de Poisson d'intensité $\\lambda > 0$, alors conditionnellement à l'événement $N_T = n$ les instants de sauts $(T_k)_{k=1,\\dots,n}$ (tels que $0 < T_1 < \\dots < T_n \\le T$) ont même loi que le réordonnement croissant d'un vecteur $(U_1, \\dots, U_n) \\sim \\mathcal{U}([0,T]^n)$.\n",
    "\n",
    "Reprendre la question précédente en utilisant cette propriété. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d70cc432-597f-44fb-9c0d-bb097877f15b",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "def one_poisson_path_alt(lambd, T):\n",
    "    size = rng.poisson(lam=lambd*T)\n",
    "    times = np.empty(size+2)\n",
    "    times[0] = 0\n",
    "    times[1:-1] = np.sort(rng.uniform(size=size, low=0, high=T))\n",
    "    times[-1] = T\n",
    "    return times"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4ba590ee-8a21-4a40-99cb-73961d15c0f2",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "n = 20\n",
    "lambd, T = 10, 1\n",
    "paths = [ one_poisson_path_alt(lambd, T) for _ in range(n) ]\n",
    "\n",
    "def count(size):\n",
    "    return np.append(np.arange(size), size-1)\n",
    "\n",
    "fig, ax = plt.subplots(layout='tight')\n",
    "for path in paths:\n",
    "    ax.step(path, count(len(path)-1), where='post')\n",
    "    ax.set_title(fr\"{n} trajectoires d'un processus de Poisson d'intensité $\\lambda=${lambd}\")\n",
    "    ax.set_yticks(2*np.arange(0, 11))\n",
    "plt.show()\n",
    "#plt.savefig('img/poisson.png')"
   ]
  }
 ],
 "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": "3.11.14"
  }
 },
 "nbformat": 4,
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}
