{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "b2416a07",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-02T07:09:21.412126Z",
     "iopub.status.busy": "2026-09-02T07:09:21.411602Z",
     "iopub.status.idle": "2026-09-02T07:09:23.711045Z",
     "shell.execute_reply": "2026-09-02T07:09:23.711720Z"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.patches as mpatches\n",
    "import seaborn as sns\n",
    "import scipy.stats as st\n",
    "import scipy.integrate as integrate\n",
    "\n",
    "sns.set_style(\"whitegrid\")\n",
    "sns.set_palette(\"colorblind\")\n",
    "palette = sns.color_palette()\n",
    "figsize = (10, 6)\n",
    "legend_fontsize = 13\n",
    "\n",
    "from matplotlib import rc\n",
    "rc('font', **{'family': 'sans-serif'})\n",
    "rc('figure', **{'dpi': 120})\n",
    "\n",
    "rng = np.random.default_rng(4)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3e019af1",
   "metadata": {},
   "source": [
    "# Введение: история и структура AI и ML\n",
    "\n",
    "Ноутбук к первой лекции. Здесь ровно один сюжет — **теорема Байеса** — но с разных сторон:\n",
    "\n",
    "1. почему без неё интуиция врёт (тест на болезнь);\n",
    "2. как та же формула читается «на пальцах», если считать людей, а не вероятности;\n",
    "3. монетка: правдоподобие, априорное и апостериорное распределения;\n",
    "4. зоопарк бета-распределений и что значит «сопряжённое»;\n",
    "5. последовательное обновление: данные можно скармливать по одному;\n",
    "6. ML, MAP и правило Лапласа — три ответа на вопрос «а какая всё-таки вероятность?»;\n",
    "7. и почему байесовский интервал — это не то же самое, что доверительный."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fc1464dc",
   "metadata": {},
   "source": [
    "## 1. Тест на болезнь, или почему интуиция здесь бесполезна\n",
    "\n",
    "Классика. Болезнь встречается у 1% людей. Тест ошибается редко: он находит болезнь\n",
    "у 99% больных и даёт ложную тревогу лишь у 5% здоровых. Тест положительный.\n",
    "**Какова вероятность, что человек болен?**\n",
    "\n",
    "Почти все отвечают «около 95%». Посчитаем."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f186a38d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-02T07:09:23.726679Z",
     "iopub.status.busy": "2026-09-02T07:09:23.714112Z",
     "iopub.status.idle": "2026-09-02T07:09:23.729463Z",
     "shell.execute_reply": "2026-09-02T07:09:23.730052Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "При распространённости 1%: P(болен | тест +) = 0.167\n",
      "При распространённости 10%: P(болен | тест +) = 0.688\n",
      "При распространённости 50%: P(болен | тест +) = 0.952\n"
     ]
    }
   ],
   "source": [
    "def posterior_disease(prevalence, sensitivity=0.99, fpr=0.05):\n",
    "    \"\"\"P(болен | тест положительный) по теореме Байеса.\"\"\"\n",
    "    p_pos = sensitivity * prevalence + fpr * (1 - prevalence)\n",
    "    return sensitivity * prevalence / p_pos\n",
    "\n",
    "\n",
    "print(\"При распространённости 1%%: P(болен | тест +) = %.3f\" % posterior_disease(0.01))\n",
    "print(\"При распространённости 10%%: P(болен | тест +) = %.3f\" % posterior_disease(0.10))\n",
    "print(\"При распространённости 50%%: P(болен | тест +) = %.3f\" % posterior_disease(0.50))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d63b222c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-02T07:09:23.742717Z",
     "iopub.status.busy": "2026-09-02T07:09:23.742272Z",
     "iopub.status.idle": "2026-09-02T07:09:24.730606Z",
     "shell.execute_reply": "2026-09-02T07:09:24.730184Z"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1200x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prev = np.linspace(0.0005, 0.5, 400)\n",
    "fig, ax = plt.subplots(figsize=figsize)\n",
    "for i, (sens, fpr, lab) in enumerate([(0.99, 0.05, \"чувствительность 99%, ложная тревога 5%\"),\n",
    "                                      (0.99, 0.01, \"чувствительность 99%, ложная тревога 1%\"),\n",
    "                                      (0.80, 0.05, \"чувствительность 80%, ложная тревога 5%\")]):\n",
    "    ax.plot(prev, posterior_disease(prev, sens, fpr), linewidth=2.5,\n",
    "            color=palette[i], label=lab)\n",
    "ax.axvline(0.01, color=\"gray\", linestyle=\"--\", linewidth=1.5)\n",
    "ax.annotate(\"распространённость 1%\", xy=(0.01, 0.9), xytext=(0.06, 0.92),\n",
    "            arrowprops=dict(arrowstyle=\"->\", color=\"gray\"), fontsize=11, color=\"gray\")\n",
    "ax.set_xlabel(\"распространённость болезни в популяции\")\n",
    "ax.set_ylabel(\"P(болен | тест положительный)\")\n",
    "ax.set_title(\"Апостериорная вероятность болезни определяется не только качеством теста\")\n",
    "ax.set_ylim(0, 1)\n",
    "ax.legend(fontsize=11, loc=\"lower right\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9b26a3f4",
   "metadata": {},
   "source": [
    "Правильный ответ при 1% — **всего 17%**. Хороший тест и редкая болезнь дают\n",
    "контринтуитивный результат: здоровых так много, что даже 5% ложных тревог порождают\n",
    "больше положительных результатов, чем все настоящие больные вместе взятые.\n",
    "\n",
    "Это ошибка игнорирования базовой частоты (base rate fallacy), и это первая причина,\n",
    "по которой в машинном обучении нужен байесовский взгляд: **данные без априорного\n",
    "распределения не отвечают на вопрос, который вы задали**."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dbb8dff2",
   "metadata": {},
   "source": [
    "## 2. То же самое, но на пальцах\n",
    "\n",
    "Формула Байеса становится очевидной, если перестать говорить о вероятностях и\n",
    "начать считать людей. Возьмём 1000 человек."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a771e605",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-02T07:09:24.753647Z",
     "iopub.status.busy": "2026-09-02T07:09:24.753065Z",
     "iopub.status.idle": "2026-09-02T07:09:27.172214Z",
     "shell.execute_reply": "2026-09-02T07:09:27.172536Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1320x660 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(болен | тест +) = 10 / (10 + 50) = 0.167\n"
     ]
    }
   ],
   "source": [
    "N, prevalence, sens, fpr = 1000, 0.01, 0.99, 0.05\n",
    "sick = int(round(N * prevalence))\n",
    "sick_pos = int(round(sick * sens))\n",
    "healthy_pos = int(round((N - sick) * fpr))\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(11, 5.5))\n",
    "cols, rows = 50, N // 50\n",
    "for k in range(N):\n",
    "    x, y = k % cols, k // cols\n",
    "    if k < sick_pos:\n",
    "        c, lbl = palette[3], \"больной, тест +\"\n",
    "    elif k < sick:\n",
    "        c, lbl = palette[1], \"больной, тест −\"\n",
    "    elif k < sick + healthy_pos:\n",
    "        c, lbl = palette[0], \"здоровый, тест +\"\n",
    "    else:\n",
    "        c, lbl = \"#d8d8d8\", \"здоровый, тест −\"\n",
    "    ax.add_patch(mpatches.Rectangle((x, -y), .82, .82, color=c))\n",
    "ax.set_xlim(-1, cols + 1); ax.set_ylim(-rows, 2)\n",
    "ax.set_aspect(\"equal\"); ax.axis(\"off\")\n",
    "handles = [mpatches.Patch(color=palette[3], label=\"больной, тест + (%d)\" % sick_pos),\n",
    "           mpatches.Patch(color=palette[1], label=\"больной, тест − (%d)\" % (sick - sick_pos)),\n",
    "           mpatches.Patch(color=palette[0], label=\"здоровый, тест + (%d)\" % healthy_pos),\n",
    "           mpatches.Patch(color=\"#d8d8d8\", label=\"здоровый, тест − (%d)\"\n",
    "                          % (N - sick - healthy_pos))]\n",
    "ax.legend(handles=handles, ncol=2, fontsize=11, loc=\"upper center\",\n",
    "          bbox_to_anchor=(0.5, 1.14), frameon=False)\n",
    "plt.title(\"1000 человек: положительных тестов %d, из них по-настоящему больных %d\"\n",
    "          % (sick_pos + healthy_pos, sick_pos), y=1.16)\n",
    "plt.show()\n",
    "\n",
    "print(\"P(болен | тест +) = %d / (%d + %d) = %.3f\"\n",
    "      % (sick_pos, sick_pos, healthy_pos, sick_pos / (sick_pos + healthy_pos)))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "12424340",
   "metadata": {},
   "source": [
    "Десять больных, из них тест поймал десятерых (ну, почти), — и при этом **пятьдесят**\n",
    "ложных тревог среди здоровых. Никакой формулы не нужно, чтобы увидеть ответ."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dca48d0c",
   "metadata": {},
   "source": [
    "## 3. Монетка: правдоподобие, априорное, апостериорное\n",
    "\n",
    "Теперь канонический пример курса. Монетка выпадает орлом с неизвестной вероятностью\n",
    "$\\theta$. Видим несколько бросков и хотим сказать что-то о $\\theta$.\n",
    "\n",
    "$$p(\\theta \\mid D) \\;\\propto\\; p(D \\mid \\theta)\\, p(\\theta).$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "4b11ea89",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-02T07:09:27.182905Z",
     "iopub.status.busy": "2026-09-02T07:09:27.182302Z",
     "iopub.status.idle": "2026-09-02T07:09:28.896859Z",
     "shell.execute_reply": "2026-09-02T07:09:28.897189Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AAAAAAAAAEhQFXQAAAAAAAAAAAABIUBR0AQAAAAAAAAAAACBBUdAFAAAAAAAAAAAAgARFQRcAAAAAAAAAAAAAEhQFXQAAAAAAAAAAAABIUP8fc3nJ2J7N69MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1920x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xs = np.linspace(0, 1, 500)\n",
    "\n",
    "\n",
    "def plural(n, forms=(\"орёл\", \"орла\", \"орлов\")):\n",
    "    \"\"\"Русское склонение после числительного.\"\"\"\n",
    "    n10, n100 = n % 10, n % 100\n",
    "    if n10 == 1 and n100 != 11:\n",
    "        return forms[0]\n",
    "    if 2 <= n10 <= 4 and not 12 <= n100 <= 14:\n",
    "        return forms[1]\n",
    "    return forms[2]\n",
    "\n",
    "\n",
    "def coin_panels(ax, n_heads, n_tails, a=0.5, b=0.5):\n",
    "    prior = st.beta(a, b).pdf(xs)\n",
    "    like = xs ** n_heads * (1 - xs) ** n_tails\n",
    "    like_n = like / np.trapz(like, xs)\n",
    "    post = st.beta(a + n_heads, b + n_tails).pdf(xs)\n",
    "    ax.plot(xs, prior, linewidth=2.5, label=\"априорное\")\n",
    "    ax.plot(xs, like_n, linewidth=2.5, label=\"правдоподобие\")\n",
    "    ax.plot(xs, post, linewidth=3, label=\"апостериорное\")\n",
    "    ax.set_title(\"%d %s, %d %s\" % (n_heads, plural(n_heads),\n",
    "                                   n_tails, plural(n_tails, (\"решка\", \"решки\", \"решек\"))))\n",
    "    ax.set_ylim(0, min(12, max(post.max(), prior.max()) * 1.15 + .5))\n",
    "    ax.set_xlabel(r\"$\\theta$\")\n",
    "\n",
    "\n",
    "fig, axes = plt.subplots(1, 4, figsize=(16, 4), sharex=True)\n",
    "for ax, (h, t) in zip(axes, [(1, 0), (3, 1), (12, 8), (60, 40)]):\n",
    "    coin_panels(ax, h, t)\n",
    "axes[0].legend(fontsize=11)\n",
    "plt.suptitle(r\"Апостериорное = правдоподобие $\\times$ априорное (априорное Beta(0.5, 0.5))\",\n",
    "             y=1.04)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8d2f6afd",
   "metadata": {},
   "source": [
    "Видно главное свойство: чем больше данных, тем уже апостериорное распределение и тем\n",
    "меньше в нём остаётся от априорного. С четырьмя бросками мнение о монетке\n",
    "ещё очень расплывчатое, со ста — уже вполне определённое."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "318328f3",
   "metadata": {},
   "source": [
    "## 4. Зоопарк бета-распределений\n",
    "\n",
    "Beta — сопряжённое априорное распределение к биномиальному правдоподобию: апостериорное\n",
    "получается из априорного простым сложением, $\\mathrm{Beta}(a + h,\\ b + t)$. Поэтому\n",
    "выбирать форму априорного знания удобно прямо в терминах $a$ и $b$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "5b9e5de0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-02T07:09:28.903860Z",
     "iopub.status.busy": "2026-09-02T07:09:28.900059Z",
     "iopub.status.idle": "2026-09-02T07:09:30.899768Z",
     "shell.execute_reply": "2026-09-02T07:09:30.900354Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1680x780 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "params = [(0.5, 0.5, \"Beta(0.5, 0.5) — Джеффрис, «верю в крайности»\"),\n",
    "          (1, 1, \"Beta(1, 1) — равномерное, «ничего не знаю»\"),\n",
    "          (2, 2, \"Beta(2, 2) — «наверное, честная»\"),\n",
    "          (10, 10, \"Beta(10, 10) — «уверен, что честная»\"),\n",
    "          (8, 2, \"Beta(8, 2) — «скорее орёл»\"),\n",
    "          (1, 4, \"Beta(1, 4) — «скорее решка»\")]\n",
    "\n",
    "fig, axes = plt.subplots(2, 3, figsize=(14, 6.5), sharex=True)\n",
    "for ax, (a, b, lab) in zip(axes.ravel(), params):\n",
    "    ax.plot(xs, st.beta(a, b).pdf(xs), linewidth=3, color=palette[0])\n",
    "    ax.fill_between(xs, st.beta(a, b).pdf(xs), alpha=.25, color=palette[0])\n",
    "    ax.set_title(lab, fontsize=11)\n",
    "    ax.set_ylim(0, 5)\n",
    "    ax.set_xlabel(r\"$\\theta$\")\n",
    "plt.suptitle(\"Одно семейство — очень разные мнения о монетке\", y=1.02)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dc9b6e64",
   "metadata": {},
   "source": [
    "## 5. Данные можно скармливать по одному\n",
    "\n",
    "Сопряжённость даёт приятный побочный эффект: не нужно хранить выборку. Апостериорное\n",
    "после $n$ бросков — это априорное для $(n{+}1)$-го, и результат не зависит от порядка."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "541e0572",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-02T07:09:30.902998Z",
     "iopub.status.busy": "2026-09-02T07:09:30.902249Z",
     "iopub.status.idle": "2026-09-02T07:09:31.370527Z",
     "shell.execute_reply": "2026-09-02T07:09:31.371055Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "true_theta = 0.35\n",
    "tosses = (rng.random(200) < true_theta).astype(int)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=figsize)\n",
    "a, b = 1.0, 1.0\n",
    "shown = [0, 1, 2, 5, 10, 25, 50, 100, 200]\n",
    "cmap = sns.color_palette(\"viridis\", len(shown))\n",
    "for i, n in enumerate(shown):\n",
    "    h = tosses[:n].sum()\n",
    "    t = n - h\n",
    "    ax.plot(xs, st.beta(a + h, b + t).pdf(xs), linewidth=2.5, color=cmap[i],\n",
    "            label=\"n = %d\" % n)\n",
    "ax.axvline(true_theta, color=palette[3], linestyle=\"--\", linewidth=2,\n",
    "           label=r\"истинное $\\theta$ = %.2f\" % true_theta)\n",
    "ax.set_xlabel(r\"$\\theta$\"); ax.set_ylabel(\"плотность\")\n",
    "ax.set_title(\"Апостериорное распределение по мере поступления данных\")\n",
    "ax.legend(fontsize=10, ncol=2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "feabc916",
   "metadata": {},
   "source": [
    "## 6. ML, MAP и правило Лапласа\n",
    "\n",
    "Вопрос «какая всё-таки вероятность орла?» имеет как минимум три разных ответа.\n",
    "Особенно ярко это видно на маленьких выборках — и на самом остром случае, когда\n",
    "орлов выпало **ноль**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "8bdd1528",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-02T07:09:31.374648Z",
     "iopub.status.busy": "2026-09-02T07:09:31.373772Z",
     "iopub.status.idle": "2026-09-02T07:09:31.381876Z",
     "shell.execute_reply": "2026-09-02T07:09:31.385563Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  орлов/бросков      ML        MAP     предсказательное\n",
      "        0 / 1        0.000    0.000    0.333\n",
      "        0 / 3        0.000    0.000    0.200\n",
      "        0 / 10       0.000    0.000    0.083\n",
      "        1 / 10       0.100    0.100    0.167\n",
      "        3 / 10       0.300    0.300    0.333\n",
      "       30 / 100      0.300    0.300    0.304\n",
      "      300 / 1000     0.300    0.300    0.300\n"
     ]
    }
   ],
   "source": [
    "def estimates(h, n, a=1.0, b=1.0):\n",
    "    ml = h / n if n else np.nan                              # максимум правдоподобия\n",
    "    denom = (a + h) + (b + n - h) - 2\n",
    "    mapv = (a + h - 1) / denom if denom > 0 else np.nan       # максимум апостериорного\n",
    "    pred = (a + h) / (a + b + n)                             # предсказательное (Лаплас)\n",
    "    return ml, mapv, pred\n",
    "\n",
    "\n",
    "rows = [(0, 1), (0, 3), (0, 10), (1, 10), (3, 10), (30, 100), (300, 1000)]\n",
    "print(\"  орлов/бросков      ML        MAP     предсказательное\")\n",
    "for h, n in rows:\n",
    "    ml, mp, pr = estimates(h, n)\n",
    "    print(\"     %4d / %-6d  %6.3f   %6.3f   %6.3f\" % (h, n, ml, mp, pr))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "46d25eb2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-02T07:09:31.394690Z",
     "iopub.status.busy": "2026-09-02T07:09:31.394321Z",
     "iopub.status.idle": "2026-09-02T07:09:32.040740Z",
     "shell.execute_reply": "2026-09-02T07:09:32.040405Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ns = np.arange(1, 41)\n",
    "fig, ax = plt.subplots(figsize=figsize)\n",
    "for i, h_rule in enumerate([lambda n: 0, lambda n: n // 4]):\n",
    "    ml = np.array([estimates(h_rule(n), n)[0] for n in ns])\n",
    "    pr = np.array([estimates(h_rule(n), n)[2] for n in ns])\n",
    "    ls = \"-\" if i == 0 else \"--\"\n",
    "    ax.plot(ns, ml, ls, linewidth=2.5, color=palette[0],\n",
    "            label=\"ML, %s\" % (\"орлов не было\" if i == 0 else \"орлов четверть\"))\n",
    "    ax.plot(ns, pr, ls, linewidth=2.5, color=palette[2],\n",
    "            label=\"предсказательное, %s\" % (\"орлов не было\" if i == 0 else \"орлов четверть\"))\n",
    "ax.set_xlabel(\"число бросков n\"); ax.set_ylabel(r\"оценка $\\theta$\")\n",
    "ax.set_title(\"Правило Лапласа не позволяет объявить событие невозможным\")\n",
    "ax.legend(fontsize=11)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3e544740",
   "metadata": {},
   "source": [
    "Максимум правдоподобия на «ноль орлов из трёх» честно отвечает $\\theta = 0$, то есть\n",
    "«орёл невозможен». Предсказательное распределение отвечает $1/5$ — и с ростом $n$\n",
    "осторожно сползает к нулю, никогда его не достигая. Это и есть **правило Лапласа**,\n",
    "и оно же — простейший пример того, зачем нужно априорное распределение."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b91351ec",
   "metadata": {},
   "source": [
    "## 7. Байесовский интервал — не то же самое, что доверительный\n",
    "\n",
    "Последний сюжет, к которому мы вернёмся ещё не раз. Проверим на симуляции, как часто\n",
    "95%-й интервал накрывает истинное значение при маленьких выборках."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "c0855839",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-02T07:09:32.056070Z",
     "iopub.status.busy": "2026-09-02T07:09:32.055532Z",
     "iopub.status.idle": "2026-09-02T07:09:34.205109Z",
     "shell.execute_reply": "2026-09-02T07:09:34.205416Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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\n",
      "text/plain": [
       "<Figure size 1200x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def coverage(theta, n, trials=4000, seed=0):\n",
    "    r = np.random.default_rng(seed)\n",
    "    h = r.binomial(n, theta, size=trials)\n",
    "    # нормальный (вальдовский) доверительный интервал\n",
    "    p = h / n\n",
    "    se = np.sqrt(np.maximum(p * (1 - p), 1e-12) / n)\n",
    "    wald = (np.abs(p - theta) <= 1.96 * se).mean()\n",
    "    # байесовский интервал с априорным Beta(1,1)\n",
    "    lo = st.beta.ppf(0.025, 1 + h, 1 + n - h)\n",
    "    hi = st.beta.ppf(0.975, 1 + h, 1 + n - h)\n",
    "    bayes = ((lo <= theta) & (theta <= hi)).mean()\n",
    "    return wald, bayes\n",
    "\n",
    "\n",
    "thetas = np.linspace(0.02, 0.5, 40)\n",
    "for n in (10, 50):\n",
    "    w = [coverage(t, n)[0] for t in thetas]\n",
    "    b = [coverage(t, n)[1] for t in thetas]\n",
    "    plt.figure(figsize=(10, 4.2))\n",
    "    plt.plot(thetas, w, linewidth=2.5, color=palette[0], label=\"доверительный (Вальд)\")\n",
    "    plt.plot(thetas, b, linewidth=2.5, color=palette[2], label=\"байесовский, Beta(1,1)\")\n",
    "    plt.axhline(0.95, color=palette[3], linestyle=\"--\", linewidth=2, label=\"номинальные 95%\")\n",
    "    plt.ylim(0.5, 1.02)\n",
    "    plt.xlabel(r\"истинное $\\theta$\"); plt.ylabel(\"доля накрытий\")\n",
    "    plt.title(\"n = %d бросков\" % n)\n",
    "    plt.legend(fontsize=11, loc=\"lower right\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df2f8c12",
   "metadata": {},
   "source": [
    "При $n = 10$ обычный доверительный интервал держит заявленные 95% очень условно, особенно\n",
    "у краёв, — а байесовский с равномерным априорным ведёт себя заметно спокойнее.\n",
    "Это не «байесовский подход всегда лучше»: это напоминание, что за словом «95%»\n",
    "у двух подходов стоят **разные утверждения**, и путать их не надо.\n",
    "\n",
    "## Что дальше\n",
    "\n",
    "Дальше в курсе: линейная регрессия и переобучение, классификаторы, сопряжённые\n",
    "распределения всерьёз, экспоненциальное семейство и GLM, а затем графические модели.\n",
    "Но теорема Байеса, которую мы сегодня разглядывали с четырёх сторон, останется той же\n",
    "самой формулой до самого конца."
   ]
  }
 ],
 "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": "3.10.12"
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 },
 "nbformat": 4,
 "nbformat_minor": 5
}
