probs_n_stats_-_bayesian.ipynb

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  {
   "source": [
    "# Bayesian methods"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt \n",
    "import numpy as np\n",
    "import scipy.stats as stats  \n",
    "import seaborn as sns \n",
    "sns.set()\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
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   "outputs": [
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "dist = stats.beta\n",
    "n_trials = [0, 1, 2, 3, 4, 5, 8, 15, 50, 500]\n",
    "data = stats.bernoulli.rvs(0.5, size=n_trials[-1])\n",
    "fig, ax = plt.subplots(len(n_trials)//2, 2, figsize=(11,9))\n",
    "x = np.linspace(0, 1, 100)\n",
    "for k, N in enumerate(n_trials):\n",
    "    plt.subplot(len(n_trials)/2, 2, k+1)\n",
    "    heads = data[:N].sum()\n",
    "    y = dist.pdf(x, 1 + heads , 1 + N - heads)\n",
    "    plt.plot(x, y, label = \"observe %d tosses,\\n %d heads\" % (N, heads))\n",
    "    plt.legend()\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "array([0.        , 0.01010101, 0.02020202, 0.03030303, 0.04040404,\n",
       "       0.05050505, 0.06060606, 0.07070707, 0.08080808, 0.09090909,\n",
       "       0.1010101 , 0.11111111, 0.12121212, 0.13131313, 0.14141414,\n",
       "       0.15151515, 0.16161616, 0.17171717, 0.18181818, 0.19191919,\n",
       "       0.2020202 , 0.21212121, 0.22222222, 0.23232323, 0.24242424,\n",
       "       0.25252525, 0.26262626, 0.27272727, 0.28282828, 0.29292929,\n",
       "       0.3030303 , 0.31313131, 0.32323232, 0.33333333, 0.34343434,\n",
       "       0.35353535, 0.36363636, 0.37373737, 0.38383838, 0.39393939,\n",
       "       0.4040404 , 0.41414141, 0.42424242, 0.43434343, 0.44444444,\n",
       "       0.45454545, 0.46464646, 0.47474747, 0.48484848, 0.49494949,\n",
       "       0.50505051, 0.51515152, 0.52525253, 0.53535354, 0.54545455,\n",
       "       0.55555556, 0.56565657, 0.57575758, 0.58585859, 0.5959596 ,\n",
       "       0.60606061, 0.61616162, 0.62626263, 0.63636364, 0.64646465,\n",
       "       0.65656566, 0.66666667, 0.67676768, 0.68686869, 0.6969697 ,\n",
       "       0.70707071, 0.71717172, 0.72727273, 0.73737374, 0.74747475,\n",
       "       0.75757576, 0.76767677, 0.77777778, 0.78787879, 0.7979798 ,\n",
       "       0.80808081, 0.81818182, 0.82828283, 0.83838384, 0.84848485,\n",
       "       0.85858586, 0.86868687, 0.87878788, 0.88888889, 0.8989899 ,\n",
       "       0.90909091, 0.91919192, 0.92929293, 0.93939394, 0.94949495,\n",
       "       0.95959596, 0.96969697, 0.97979798, 0.98989899, 1.        ])"
      ]
     },
     "metadata": {},
     "execution_count": 6
    }
   ],
   "source": [
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "WARNING (theano.configdefaults): g++ not available, if using conda: `conda install m2w64-toolchain`\n",
      "WARNING (theano.configdefaults): g++ not detected ! Theano will be unable to execute optimized C-implementations (for both CPU and GPU) and will default to Python implementations. Performance will be severely degraded. To remove this warning, set Theano flags cxx to an empty string.\n",
      "WARNING (theano.tensor.blas): Using NumPy C-API based implementation for BLAS functions.\n"
     ]
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ]
}