{
"cells": [
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"source": [
"\n",
"\n",
"Intervaly spolehlivosti (ve frekventistické interpretaci)\n",
"--------------\n",
"\n",
"**frekventistické** tvrzení má smysl, jen pokud lze experiment/událost opakovat!\n",
"\n",
"- 95% horní mez $X_u$ **NEZNAMENÁ**, že hledaná (skutečná) hodnota bude s 5% pravděpodobností ležet nad ní:\n",
"**skutečná hodnota nějaké veličiny je dána** (a neopakuje se)\n",
"- tvrzení o horní mezi založené na měření (testovací statistice) $X$ znamená, že pokud je skutečná hodnota $X_u$, tak pravděpodobnost, že naměříme hodnotu $X$ nebo menší, je 5%\n",
"\n",
"literatura: *Cowan* sec. 9.4 a dale, *Barlow*, sec. 7.2\n",
"\n",
"pracujeme s rozdělením pozorovaných hodnot pro danou hypotézu ($X_{\\rm true}=X_u$), nikoli rozdělení skutečných hodnot $X_{\\rm true}$ ..."
]
},
{
"cell_type": "markdown",
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"source": [
"### Příklad\n",
"\n",
"Z 20 pozorování nám 4 vyšla pozitivně. Jaký je 95% interval pro pravděpodobnost pozitivního výsledku?\n",
"\n",
"Pravděpodobnost se řídí binomickým rozdělením. Příklad pro pravděpodobnost úspěchu p=0.3 dává 13% pro pravděpod. daného výsledku, necelých 11%, že vyjde méně než 4."
]
},
{
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"execution_count": 3,
"metadata": {
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"deletable": true,
"locked": false,
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},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
"data": {
"text/plain": [
"(0.13042097437387024, 0.1070868045037308)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
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{
"data": {
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DQ0MMDw/3rT9J88sgIalr4+PjrF49wsTE9r71uXz5CrZuHTNMSIuUQUJS11qtVhMiNgIj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\nAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%pylab inline\n",
"from scipy import stats\n",
"vals=stats.binom(20,0.3).pmf(r_[0:15])\n",
"bar(r_[0:15]-0.4,vals)\n",
"title(\"binom. rozdeleni p=0.3\")\n",
"ax=vals[:4].sum()\n",
"vals[4],vals[:4].sum()\n",
"#stats.binom?"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"marked": false
},
"variables": {
"ax": "0.10708680450373088",
"round(vals[:4].sum()*100,2)": "10.71"
}
},
"source": [
"(přehledné) znázornění trojdim. grafu závislosti pravděpodobnosti na hodnotě $p$ a pozorované hodnotě $i$ "
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"deletable": true,
"locked": false,
"run_control": {
"marked": false
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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1MH6pioFD09R6Dikp8MUvqoTg00+9o0x+8xv48Y/ViIIZM1QysGCBusVgHATR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\ncUgSACGEECIO/X8Y1zUh8m9HOwAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x=r_[0.01:0.5:0.01]\n",
"for i in range(0,10):\n",
" axhline(.1*i,color='gray',alpha=0.2)#,xmax=x[-1])\n",
" plot(x,i*0.1+stats.binom(20,x).pmf(i))\n",
"axvline(.3)\n",
"xlim(x[[0,-1]])\n",
"xlabel(\"p\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"marked": false
}
},
"source": [
"pro (předpoklad) různé hodnoty $p$ lze spočítat pravděpodobnosti, že vyjde méně než daný počet (`botlim`) nebo více než daný počet (`uplim`) pozitivních výsledků..."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false,
"run_control": {
"marked": false
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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atKczv//ujPXIlw+WLoWQELcTiaRvKkAkXbku43W82PhFNvywgeXfLHc7jvjI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\nIiJhpwRERCo8M9tgZncHHYdIRaIEREROi5nlmdnAoOMQkci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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"botlim=lambda p,k:stats.binom(20,p).cdf(k-1)\n",
"uplim=lambda p,k:1-stats.binom(20,p).cdf(k)\n",
"x=r_[0.01:0.5:0.01]\n",
"plot(x,[uplim(a,4) for a in x],x,[botlim(a,4) for a in x])\n",
"legend([\"uplim\",\"botlim\"])\n",
"xlabel(\"prst. uspechu\")\n",
"ylabel(\"pravdep. obsah\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"marked": false
}
},
"source": [
"Nyní zbývá najít řešení této \n",
"tzv. Clopper-Pearson limity\n",
"$$\\sum_{r=m+1}^n P(r;p_+,n) = 0.975$$\n",
"$$\\sum_{r=0}^{m-1} P(r;p_-,n) = 0.975$$\n",
"(tedy hodnoty $p_+, p_-$ jako horní a dolní mez konfidenčního intervalu).\n",
"\n",
"Je to nejmenší/největší hodnota, která je \"ještě kompatibilní\" s naměřenou hodnotou - tedy taková, kterou nelze (s danou mírou rizika) zamítnout."
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false,
"run_control": {
"marked": false
}
},
"outputs": [
{
"data": {
"text/plain": [
"(0.057333997050032788, 0.43661400299666819)"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# pozorovany 4 z 20\n",
"from scipy import optimize as op\n",
"xbt=op.fsolve(lambda p:botlim(p,4)-0.975,0.1)[0]\n",
"xup=op.fsolve(lambda p:uplim(p,4)-0.975,0.3)[0]\n",
"xbt,xup"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"run_control": {
"marked": false
}
},
"outputs": [
{
"data": {
"text/plain": [
"(0.11893159040572764, 0.54278918227628903)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#pozorovano 6 z 20\n",
"xbt6=op.fsolve(lambda p:botlim(p,6)-0.975,0.1)[0]\n",
"xup6=op.fsolve(lambda p:uplim(p,6)-0.975,0.4)[0]\n",
"xbt6,xup6"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"marked": false
}
},
"source": [
"Tahle interpretace je jediná smysluplná, pokud narazíme na fyzikální meze skutečných hodnot parametru (často jen kladné hodnoty, někdy omezené shora)."
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"marked": false
}
},
"source": [
"#### Cvičení\n",
"\n",
"1. spočítat derivaci uplim(p) pro poissonovo rozdělení"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"marked": false
}
},
"source": [
"### Konstrukce pásu\n",
"počítáme vodorovně, odečítáme svisle\n",
"\n",
"v každém řádku (pro danou hodnotu p) určíme kvantil binomického rozdělení"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false,
"run_control": {
"marked": false
},
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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+u4QNG5UoeCilygD3AHFa66H2lCRE8fTs2dPpEkLLU0/BmTO2XUZxc3/efnv+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\nXA98peGjLyp7D+O1hQN9JBCResCJvuWrcO9nnm+d0PsZkgeIqt6pqst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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n=20\n",
"p=0.1\n",
"ptrue=r_[.0:1.01:0.025]\n",
"cont=0.25\n",
"xlo=[stats.binom(n,p).ppf(cont) for p in ptrue]\n",
"xlo[0]=0\n",
"xhi=[stats.binom(n,p).ppf(1-cont) for p in ptrue]\n",
"plot(xlo,ptrue,':')\n",
"plot(xhi,ptrue,':')\n",
"cont=0.025\n",
"xlo=[stats.binom(n,p).ppf(cont) for p in ptrue]\n",
"xlo[0]=0\n",
"xhi=[stats.binom(n,p).ppf(1-cont) for p in ptrue]\n",
"plot(xlo,ptrue)\n",
"plot(xhi,ptrue)\n",
"grid()\n",
"xlabel('pocet priznivych udalosti (z 20)')\n",
"ylabel('prst. uspechu v binom. rozdeleni')\n",
"axvline(20)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false,
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [],
"source": [
"# linearni interpolace\n",
"from scipy import interpolate as ip\n",
"plim1=ip.interp1d(xhi,ptrue) #interpolujeme inverzni zavislost\n",
"plim2=ip.interp1d(xlo,ptrue)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false,
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"data": {
"image/png": 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PzrmjErYNBqqB/3POtSs21NKQHz75BI4/3i9T/cc/wuWX526pahER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\nTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xps=r_[:100:5]\n",
"plot(xps,-(xps/100.-plim1(xps))/(xps/100.-plim2(xps)))\n",
"title(\"asymetrie intervalu\")\n",
"grid()"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"6"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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2benSJd4710oyatiwoXKZRpTP9KJ8Js6m3Zu49+17ub/H/bQ6uuQO6h0OdKDIFrn9PFe4\nuz7uIsG/LnrgVqUAJxljTgO2W2t/MMY8ArSw1gbWQngaGO2f5fAszopqV5Gg+8hLati8OfzOxpLK\nlM/0onyWz9Kvl7JhxwZuPvPm4m31atZj7Za1bMvbFlIkjOk2BoAd+TtYs2UNa7esZfjpw6mRUcP1\nuONRnpaEM3CW3rT+r8f8258HRuAMVCy+wYy19jtjzCU4sxluw1mC9HfW2vAZD5LGNm3a5HUIkkDK\nZ3pRPkt34NABFn65kLOPPZuTjz65ePv7P7zPBz98EFIkHFn7SFbeuJId+TtYsXEFa35xCoI1W9aw\nZssaNu91CrIMk8EFJ1zAKY1Ocf164hF3kWCtfZdSFmGy1g6PsO09nBvISBXVtavSn06Uz/SifIb6\nee/PNK1fMpSumqnG75b8jmkXTwspEib1nMTO/TvLLAZaHd2Kdse044bON9C+SXvaHdOO1o1aU6t6\nrcMeO9kk6+wGSTNDhw71OgRJIOUzvSifJZ5c+STj/j2OreO2Urt6bQBqZNTgq1u+YuOujUz/dHpa\nFgPRJOUNnowxXYDs7OxsDaYREZFKsXLTSvYe3MsFJ15QvO37nd/z0Y8fUa1aNVZ8v6LUYqD9Me2T\nshjIyckJtA51tdbmVORcakkQEZEqafL7k9lzcA8XnHgB+QX5LN2wlAVrFvDautfYe3AvrY5uRccm\nHdOqZSBeKhLEFcOHD+e5557zOgxJEOUzvaR7Pvcd3Mftb97OsE7D6HlCz+Ltf+/zdz7Z9AlXL7y6\nuDDo2KQjd3e/m4HtBtK6cWvvgk4SKhLEFb179/Y6BEkg5TO9pFs+Dxw6EPJpv26Nuvyw+wd25O+I\n2GKgwiA6jUkQEZG08dY3b3H5vMv5+ravaVa/GUDUwmBQ+0FpWRhoTIKIiFR5W/ZtYf329Zx73LnF\n2zo368zEnhMpLCpkUe6ikMKgU9NOajGIk4oEERFJSZPencTr617n29u/xRhDfkE+yzcuJ+enHCa9\nO0mFQQKoSBBXrFixgvPOO8/rMCRBlM/0kgr5/G7nd+w5sIeOTTsWbxv/6/GMO3cci79arBaDSqIi\nQVwxZcqUpP8jJLFTPtNLKuTzmlev4ajaR7Fk6JKIYwxUGFQODVwUV+Tl5VG3bl2vw5AEUT7TS7Ll\nc/Uvqzmy9pH86ohfhWxb/ctqlny1JKQwGNhuoAqDMBq4KCknmf4AScUpn+klmfJZUFhAz1k9GXXG\nKMb/erxaDDymIkFERDxhreXDHz+kc7PO1KlRB4BDRYe4v8f9fPjjhzR5tIkKA4+pSBAREU98t/M7\nuj/bndmXz6ZBrQZqMUhCUW/5LJJIY8eO9ToESSDlM724kc/CokKWf7+8+Pv8gnxW/byK3if35uY3\nbmbA/AGs2bKGu7vfTe7oXFaNWsV9Pe5TgeAxtSSIK1q2bOl1CJJAymd6cSOfb6x/A988H//o+w8+\n/PFDtRikCM1uEBGRhLLW8u3ObznpqJOKpyvOWz2P19a9Rl5BnmYlVDLNbhARkaT12IePcf8793Pp\nKZfy5oY3i1sM/njeH1UYpBgVCSIiUiGFRYUcLDxYPF1xyVdL2H9oP+u2r1NXQopTkSCuyM3NpU2b\nNl6HIQmifKaX8uYzvyCfW964hUVfLeJg4cHiFoN7zrtHhUGa0OwGccW4ceO8DkESSPlML/HkM78g\nn0W5i7h64dU0ebQJz37+LLUyanFXt7s0KyENqSVBXDFt2jSvQ5AEUj7TS1n5DAw+nLxiMjmbczhY\neFCzEqoIFQniCk2ZSy/KZ3qJlM9IN1FqUb8FHZp04MUBL9LmGHU3VQUqEkREBAgtDBblLiL/UL5a\nDKo4FQkiIlVYtNsun9LoFBrXbcyya5d5HaJ4SAMXxRWTJ0/2OgRJIOUztYUPPhxw6wByfsoJWRL5\n/RHv89Y1b3kdqnhMLQniiry8PK9DkARSPlNPtBaDceeO4/H3Hue0ZqdxX4/7ivevX7O+h9FKstCy\nzCIiaSpaYXBV26sY1H5Q8RiDNb+s4biGx3FErSM8jlgSQcsyi4hIRNEKg7u7381Vba/inmX3UGSL\nQgYhtm/S3sOIJZmpSBARSXGlFQbhsxJ6ntCTk446ycNoJZWoSBBXbN26lcaNG3sdhiSI8um9SIVB\nxyYdiwuDUxudypwv5vDT3p9CioQ7zrnjsHMpnxKNZjeIK0aMGOF1CJJAyqc3DpuVMH8Aq39ZXTwr\n4YvffxGyJPL07Olkbcgq87zKp0SjlgRxxcSJE70OQRJI+XRX9v+yeezDxyK2GAQKgl37d7E1byuN\n6zotAsYY3rr2LWpXr13m+ZVPiUZFgrhCs1TSi/LpjgOHDvDguw8y+f3JtDq6VdSVD4tsEZ2nd6b/\nqf15/OLHi7fHUiCA8inRqUgQEUlCn/7vU65fdD3rtq1jUs9JjOs+jhoZNSLuW81UY/ql0+nQpIPL\nUUq605gEEZEkcuDQAcYvG885M86hVvVaZI/MZnyP8cUFQmFRIde+ei1zvpgTctxFJ19E8wbNvQhZ\n0piKBHHFzJkzvQ5BEkj5rByf/u9Tuj7Tlb988Bcm9ZzER7/7iI5NO4bsk1Etg3o16pFhMhL2uMqn\nRKMiQVyRk1OhRb8kySifiVVa68EHP3zA+m3rQ/Z/6tKnGNpxaMIeX/mUaLQss4iIh4LHHkw4f0LI\n2INDRYc4+R8nM6jdIP7S+y8eRyqpQssyi4ikuOCZC6c1O43skdl0bNqR4A9u1atV593r36Vlw5Ye\nRipVmbobRERcFmnsQfsm7bls3mX87aO/hex7wpEnUM3oT7V4Qy0JIiIuidZ6EHBG8zNodXQrDyMU\nCaXyVFzh8/m8DkESSPmMX3jrwZP9nsQSOibs/vPvx9fa/edW+ZRoVCSIK2655RavQ5AEUj5jF2nm\nwr2/vpebXr+Jv3/0d6/DA5RPiU7dDeKK3r17ex2CJJDyGZvgmQsTe07k7u53F89ceG3oa0mz+JHy\nKdGoJUFEJMHCWw/6nNyH/IL8kGWVj2t4HNWr6XOaJDcVCSIiCRRp5kKvk3rRvkl7r0MTiZuKBHHF\nokWLvA5BEkj5PFxw68GhokMhqybecc4dXN3xaq9DjEr5dN+WLV5HEBsVCeKKzMxMr0OQBFI+QwW3\nHhx/5PGc0uiUw+65kMyUT3e99hqceCKsWeN1JGVTh5i4Yv78+V6HIAmkfDoOHDrApHcnMeX9KcXr\nHjSq24jGdRt7HVpclE/3bNwI110HvXpBu3ZeR1M2FQkiIuWwctNKLpl7CdvytzGp56SQmQsikRQU\nwODBcMQR8NxzYIzXEZWtXN0NxpjRxphvjTH5xpiPjDFnlrH/b40xnxtj9hlj/meMmWmMObp8IYuI\neOfAoQPcu+xeus3sRu3qtbnlzFu4r8d9KhCkTPfeC59+CvPnw9Ep8g4Yd0uCMWYw8BgwEvgEGAMs\nNcacaq3dGmH/7sDzwO3A68CxwHTgGeCq8ocuIuKe/Yf2szh3MQ++9yDrt60/bN0DkdK89ho8+ij8\n9a9w9tleRxO78rQkjAGmW2tnW2tzgVFAHjAiyv7nAN9aa5+w1n5vrf0Ap0g4q1wRS0oaPny41yFI\nAlW1fB44dIBuM7oxZOEQalevzacjP02r1oOqlk+3BcYh+Hxwxx1eRxOfuIoEY0wNoCuwLLDNOvc1\nfQvoFuWwD4HjjDEX+8/RFBgI/Ks8AUtq0opu6aUq5XPlppV0eaYLa7as4fazb+ej331Ep6advA4r\noapSPt2WiuMQgsXb3dAYyAB+Dtv+M9A60gHW2g+MMcOA+caY2v7HXAJosfAqZOjQoV6HIAmU7vlc\nsXEFb6x/A6B45sKnIz9Nu+IgIN3z6aXAOIQVK1JnHEKwSl8nwRjTDngcmAh0AfoAJ+J0OZSqX79+\n+Hy+kK9u3bodtvBHVlZWxLuYjR49mpkzZ4Zsy8nJwefzsXVr6PCJCRMmMHny5JBtGzduxOfzkZub\nG7J96tSpjB07NmRbXl4ePp+PFStWhGzPzMyM2JQ3ePBgXYeuQ9eRpNeRtSGLR//2KJMnTGZiz4nF\nrQepdh2QHvlI1es4+2wfjz6ay5QpJeMQEn0dmZmZxe+NzZo1w+fzMWbMmMOOKS/j9BbEuLPT3ZAH\nXGmtXRK0fRbQ0Fo7IMIxs4Ha1tpBQdu6A8uB5tba8FYJjDFdgOzs7Gy6dOkSx+WIiMRv78G91K9Z\n/7B1D5677Lm0bT2QyrVxI5x+Ovz617BokbvdDDk5OXTt2hWgq7U2pyLniqslwVpbAGQDvQLbjDHG\n//0HUQ6rCxwK21YEWCDFemekvMIrZElt6ZTPF1a9QKt/tOKd796hyzNdePSDR0NaD6qCdMpnMkj1\ncQjBytPd8FfgRmPMtcaYNsDTOIXALABjzCPGmOeD9n8NuNIYM8oYc6K/FeFx4GNr7eaKhS+pYsqU\nKV6HIAmUTvnsflx3OjbpyEWzL0rLmQuxSKd8JoNUXA8hmrjXSbDWLjDGNAYeBJoCnwN9rLWB21U0\nA44L2v95Y0x9YDTwKLATZ3bEPRWMXVLIvHnzvA5BEihV87n34F5eWvMS159+PcYYVm5ayfWLr6/y\n6x6kaj6TUaquhxBNuZZlttY+CTwZ5WeHjbKw1j4BPFGex5L0ULduXa9DkARK1Xy++927jPrXKM48\n9kzm/ndulZi5EItUzWeySeX1EKLRvRtEpMrod0o/Xh38KoNfHlzlWw8ksWIZh7BnD9Svn1pjFHSr\naBFJS9/t/I5L517K5r3O0Kd129Yx9t9j8WX6quzYA6k8ZY1DOHAAunWDhx92P7aKUJEgrgifFyyp\nLRXy2bBWQzbv3cxD7z3E6U+fTutprXn606er3MyFWKRCPpNZYBxC8HoI4WrVgttvh4ED3Y2totTd\nIK5o2bKl1yFIAiVjPncf2E39mvX5evvXvLTmJV5a+xKrfl5F7tZc+rfuz4TzJ9C3VV/q1KjjdahJ\nJxnzmSriGYdw443uxJRIcS2m5BYtpiQi8fjoh4/o9UIvGtdtzMZdG6lXox79W/dnULtBKgyk0hQU\nQI8e8NNPkJNzeDdDVhb07Ak1a7obVyIXU1JLgoikpHXb1oW0GNTMqEnnZp35e5+/qzAQV5R2X4ZN\nm5zWhWnT4IYbvIkvEVQkiEjKCBQGz696nvXb1xe3GKgrQdxW1noIxx4LK1dChw7ux5ZIKhLEFbm5\nubRp08brMCRB3MxneItBvRr1sNbS/9T+zL9qvgqDBNDrMz6xjkPo2NG9mCqLZjeIK8aNG+d1CJJA\nlZ3PddvW8fB7DxfPSnhkxSO0PaYtrwx6hS1jt7Dq96t4dfCrKhASRK/P2EVbD2HbNmdg4q5d3saX\naGpJEFdMmzbN6xAkgSojn5FaDPq37s9ZLc7ijGPPYGTXkcX7tjq6VcIfvyrT6zN20cYh/PILvPce\nfP89dEqj2bUqEsQVmmKVXhKVz2iFQfAYg5GvjWT9tvUJeTyJTK/P2JQ2DqFtW1izBqqn2btqml2O\niCS7sgqDjGoZ1MwomTM2/dLpmFRax1bSUqRxCPv3Q+3aJfukW4EAKhJExAWxtBgAjF82nk/+9wlZ\nw7KKCwMVCOK1SOMQFi92ioUPP4RmzbyOsPJo4KK4YvLkyV6HIAkUSz7LGnyYeWUmA9oOCBl82POE\nngxuP7gyQ5cI9PosXaT7Mpx5JgwdCo0bextbZVNLgrgiLy/P6xAkgaLlM9YWAwBrLeu2raN149bF\n2y46+aJKj10Op9dndNHGIbRoAX/6k3dxuUXLMotIhUQrDAa2G8jFrS6OOk1x6sdT+eOyP/L9Hd/T\nqG4jl6MWKdvGjXD66fDrX8PcufDVV5AKb0lalllEPBWtMHjg/AdKLQyCXXPaNbRu3FoFgiSl8HEI\nEyc6hcKGDaGDFdOdigQRidnmvZv5/b9+z6LcRXEVBgcLDzJv9TyGdRpGNeMMhTqy9pH0Prm3W6GL\nxOynn5yFkYLXQ3jgARg2rGoVCKAiQVyydetWGqf7CJ80Zq1l7n/ncuv/3UqNjBo8cf4TDO8+POYV\nD7P/l82IxSNo3ag1Z/8qwkL34im9Ph3WOq0Ft94KNWrAK6+UjENo0ABOO83b+Lyg2Q3iihEjRngd\ngpTT5r0QYh1aAAAgAElEQVSbGTB/AMNeHUbfVn1Ze/Na3vzrm3EtidztuG58e/u3KhCSlF6fTuvB\n5Zc7rQV9+zoDFffs8Toq76lIEFdMnDjR6xAkTtZaXvziRdo90Y4Pf/yQVwa9wtwr59KobqNS87nn\nwB7uXHonX2//OmT7cQ2Pq+SIpbyq8uvTWnjxRWjfHj76yGk9mDsX3n3XWQshCcf2u0rdDeIKzVJJ\nLZv3bmbU66NY/NVihnYYytSLp4YMMCwtnxnVMnhzw5t0b9ld91hIEVX19fnTTzBqFCxZ4qx5MHUq\nNPL/mj/xBGRklNzAqapSkSAixcLHHrwy6BUGtB0Q03GBlRHr1qjLF6O+IKNaRmWHK1IukcYedO8e\nesOmGjW8iy+ZqLtBRIDIYw/KKhAKiwoZ9NIgpn0SehdBFQiSrMLHHqxdC+efDx07wpNPeh1d8lGR\nIK6YOXOm1yFIFKWNPYgmkM+Mahmc2uhUmjdo7la4Ugmqwusz2tiDRo2cFoTJk511ESSUigRxRU5O\nhRb9kkoSb+uBtZad+3eG5POh3zzEVe2uciNcqSTp/vqM1HowIOzX/Prr0/8+DOWhMQniiieeeMLr\nECRIecce/G7J7/h257e8Pe1tF6IUt6Tr6zPS2IMBA+CXX+Cee+Chh9Lz9s6JpKdHpIopa+ZCaa47\n7ToOFh7U7Zsl6ZU2c+HLL2HOHLjhBmilCTilUpEgUkXE23pgrSV3ay5tj2lbvO38E853I1SRcovW\nehDs/PPh66+r3hLL5aExCSJVQHlmLkz7ZBpn/PMMtuVtcylKkYqJNvagsBC2hf0aq0CIjYoEcYXP\n5/M6hCqpPDMXAq47/ToWD1kccV/lM72kej5Lm7kAcMstcPHFUFTkbZypSEWCuOKWW27xOoQqJ57W\nA2str331GkW25K/oEbWO4MKTLoy4v/KZXlI5n7HMXLjpJpg0CarpHS9uesrEFb1765bAbilP68Fn\nmz/DN8/Hsm+WxfQYymd6SdV8LlwYvfUg2OmnOy0JEj8VCSJpJLj1oE+rPjGNPQDo0rwL//39f7no\n5ItciFKk4mbPhoEDoVev0NYDa+Fvf4M1a7yNL11odoNIGgifubBw0EKuaHtF1H1f/O+LnPOrc0Ju\nwNShSQe3whWpkNmzncWPbrgBnn46tBth/36YNcu5MVP79l5FmD7UkiCuWLRokdchpK3w1oM1N6+J\nWiAA7D+0n/vevo9Xvnyl3I+pfKaXVMpnaQUCQJ06TvfDHXd4El7aUZEgrsjMzPQ6hLQTPvZg4aCF\nZF6ZSeO6pa8tW6dGHXJuymFc93HlfmzlM72kSj6jFQjbt4fuV6eO66GlLRUJ4or58+d7HUJaiaf1\nYO5/5zLr81kh246uc3TEfWOlfKaXVMhntALh/ffh+OMhzW8/4RmNSRBJIfGMPQhY/v1yCm0h159+\nvTtBiiRYaV0MZ54JEydCBw2pqRQqEkRSRPA9F4Z0GMLUi6eW2bUAMK3fNDKqZbgQoUjilTUGoWZN\nuPNOT0KrEtTdIJLk4hl7kLUhi2GvDMNaW7xNBYKkqkgFwptvwl//6nVkVYeKBHHF8OHDvQ4hJcU7\nc8Fg2HVgF3sP7q3UuJTP9JKM+YzWgrByJfznP1pi2S3qbhBXpOqKbl4pz9gDgItOvsiVBZGUz/SS\nbPksrYth/HjnXy2x7A49zeKKoUOHeh1Cyoi19eDr7V/T/dnufL/ze9djVD7TSzLlM7xAyMmBgwdL\nfl6tmgoEN+mpFkkS8a570KReExrVaUReQZ7LkYpUjvACYds2OP985//iDXU3iCSBWGYuBAYjGmMA\n5y6NS4YucT1WkcoQqYvhmGMgKwvOPtvr6KoutSSIK1asWOF1CEkp1taDgsICLpl7CTNyZngUaSjl\nM714nc/gAuHJJ0O7E7p3h+r6OOsZFQniiilTpngdQtKJZ+ZCjYwadG7WmV8d8SuXo4xM+UwvXuYz\nuEC48EI491zIUw9a0lB9Jq6YN2+e1yEkjVhnLhQUFlAjo0bx9w/3etjNMEulfKYXr/IZ3sXw5ZdO\n14IGJiYPpUJcUbduXa9DSArBrQd9W/WN2nrwwDsP4JvnC1kUKZkon+nFi3xGGoPQvj1MnQq1a7se\njkShlgQRF4S3Hrwy6BUGtB0Qdf9zjzuX5vWbY7EYjIuRilS+QIHwm9/AyJFqOUhm5UqNMWa0MeZb\nY0y+MeYjY8yZZexf0xjzsDHmO2PMfmPMN8aY68sVsUiKCW89WHvz2sMKhH0H94V837dVX35/5u+p\nZvTXU9JLoED43e9gxw5Qz1Vyi/svkDFmMPAYMAHoDKwClhpjSrvTzEvABcBw4FRgKPBV3NFKyho7\ndqzXIbgufObCK4NeYe6Vc2lUt1HIfv9a9y9OfPxE/rfnfx5FGr+qmM905lY+g7sYpk+Ht9+Gv/zF\nlYeWcipPd8MYYLq1djaAMWYUcAkwAjhsiKwxpi/wa+Aka+1O/+aN5QtXUlXLli29DsFVweseDO0w\nlKkXTz2sOAg497hzufWsWzmq9lEuR1l+VS2f6c6NfEYag9CwYaU/rFSQiWdglDGmBpAHXGmtXRK0\nfRbQ0Fp7WCerMeYJ4BQgG7gG2AcsAe631u6P8jhdgOzs7Gy6dOkS+9WIeCx87MHTlzx9WNfC7gO7\naVCzQfGiSCLpLlAggHODpq5dPQ0n7eXk5NDVeZK7WmtzKnKueLsbGgMZwM9h238GmkU55iScloT2\nwOXA7cBVwBNxPrZIUotl7MHWvK20ntaaF754waMoRdz1/PNOgTBiBMycCZ07ex2RxMONUVHVgCLg\namvtp9baN4E/ANcZY2qVdmC/fv3w+XwhX926dWPRokUh+2VlZeHz+Q47fvTo0cycOTNkW05ODj6f\nj61bt4ZsnzBhApMnTw7ZtnHjRnw+H7m5uSHbp06delgfXl5eHj6f77CVyzIzMyPehnXw4MG6jjS5\nDmstD81/iJZnteT9r94PGXsQfh2N6zbmplY3MeePc5LuOiA98qHrSI7r2L0bbrzRKRAuvzyHn3/2\n0b//1pCZDKlwHcGSMR+ZmZnF743NmjXD5/MxZsyYw44pLze6G2YB51prTw3a1gZYA5xqrd0Q4Rh1\nN6SZ3Nxc2rRp43UYCVfW2ANrLfsK9lG/Zn0Po0y8dM1nVZXofGZlwaBBkJ/vrHtw442g3jX3eNbd\nYK0twBlb0CuwzTgdq72AD6Ic9j7QwhgTvFpHa5zWhR/jilZS1rhx47wOIaFinblwzavX8NtXfutR\nlJUn3fJZ1SUqn4HWgz59oEkTuO02Zx0EFQipqzyzG/4KzDLGZAOf4Mx2qAvMAjDGPAK0sNZe599/\nLnAf8JwxZiJwDM4siJnW2gMVil5SxrRp07wOIWHimbkwrNOwtFzrIJ3yKYnJZ1aWM3Nhxw5neqNa\nD9JD3EWCtXaBf02EB4GmwOdAH2vtFv8uzYDjgvbfZ4y5CJgKrAS2AfOB+ysYu6SQdJgyF8uqiXsP\n7g3pWujbqq/bYboiHfIpJSqSz9274fbbYdYsZwXFZ5+F449PXGzirXIty2ytfRJ4MsrPDhtlYa1d\nB/Qpz2OJJINYWg8Wrl3IzW/czBejvqBp/aYeRSrinkDrwbZtULcuPPigCoR0k37toCIJFOvYA4Dz\nTzifMeeM4ag6qbMokkh5BI89aN0a1q6FzZuhe3evI5NEU5EgrgifHpQKduTvKHXdg7yCvJC7NDau\n25h7zruHmhk1vQjXVamYT4kunnxmZUG7djB3rjP2ICvLaT1o0KASAxTPqEgQV+Tl5XkdQlx25O+g\n95zeLN+4PGLrwZZ9W2gzrQ0L1izwMErvpFo+pXSx5DO49eDAAadQ0MyF9BfXOglu0ToJ4qVAgfDN\njm94+9q3Oa3ZaRH3m7xiMkM6DOH4I9UJK+kteObCY4/BBRc4YxCOPdbryCSSRK6TUK6BiyLpKlqB\nYK1l/6H91KlRp3jfu8+726swRVyxezfceSfMmAEXXuj8q4GJVYuKBBG/0loQhi8ezr6Cfbw08CUP\nIxRxT/DMhfr14aGHVCBURRqTIK4IX+s82ZTVxXBF2yu4ttO1HkWXfJI9nxKf4HyGz1xYtQrGjHH+\nL1WPigRxxYgRI7wOIapIBUJBYUHIPr7WPvq37u9RhMknmfMp8QvkMysLOnSAefNKZi60auWsf3Dk\nkR4HKZ5QkSCumDhxotchRBSpQPi/9f9H62mt2bJvS9knqKKSNZ9SPnfdNbG49aBePbjpJs1cEIfG\nJIgrknGWSrQuhi7Nu3BF2ytCBilKqGTMp5TP55/DsGFdiu+58PPPzjgEa1UkiIoEqaKCC4Rl1ywL\nGYPQtH5THu39qIfRibjj88+hVy848URYvtwZmKjiQIKpu0GqnOAC4fWhr3Pnv+/k1S9f9TosEVcF\nCoR69eBf/yqZuaACQYKpSBBXzJw50+sQgMO7GM751Tm0bdxW91uIU7LkU8onUCA0b+50LTz6qPIp\nkalIEFfk5FRo0a+EiDQGwRjDtH7T6HlCT6/DSynJkE8pn0CBcNJJThfDxo2Ql6d8SmQqEsQVTzzx\nhKePHygQvtzyJb1O7BV1qWWJjdf5lPJ5803o2dMpELKy4KijoFEj5VOiU5EgaS+4BeGe8+6hYa2G\nHCo65HVYIq76/HPo398ZmBgoEETKotkNktZivVmTSDoLdDG0bQuLF6tAkNipSJC0tXbLWno814Mi\nW8Q7172jAkGqnB9+cAYmBsYgqAVB4qXuBnGFz+dz9fF25O9g6MKh7Ny/kyf6PaECIcHczqfE7/XX\nncIgfAxCJMqnRKOWBHHFLbfc4tpjBboYftz9IytvXEnn5p1de+yqws18Svk0bQq1asEpp5TdgqB8\nSjQqEsQVvXv3rtTzW2uZvWo29WvW58/v/1ljECpZZedT4ldY6AxKrF7dGYPQt68zBiGWLgblU6JR\nkSBpY/aq2azZsoaCogIVCFKlFBY64w569XJmMGgMgiSKigRJCzv372TXgV0qEKRKysiAK66ABg1U\nIEhiaeCiuGLRokUJPd/2/O08+9mzQMkYhG93fqsCwSWJzqdUXI8ecNdd5SsQlE+JRkWCuCIzMzOh\n51uUu4i7su7iq61faR0EDyQ6nxKfZcucboWCAuf74KWWy9OCoHxKNOpuEFfMnz8/oecbfvpw6tWo\nx4UvXEh+Qb4KBJclOp8SnwYNnC6Gffvgu+8q3sWgfEo0akmQlPDZT5+x58AeAHbt38XI10YyZOEQ\n2jRuQ/bIbBUIUqWcdRYsWpSYAkGkNGpJkKS39+Bees3uxR3n3MHZx57NDa/dwM79O3n6kqcZ2XUk\nxhivQxSpNAcPwkMPwdChzpTGgIp2MYjEQi0JkvTq16zPwkEL+X7n9/R9sS9tGrdh9e9Xc9MZN6lA\nkLRXWOjcb+Hjj0u2qUAQt6hIEFcMHz485n2ttWzeu7n4+6VfL+XaRdeyYO0Cnr7kabKGZXH8kcdX\nRpgSo3jyKRVTpw58+ilcf73zfWUUCMqnRKMiQVwRz4puE/8zkXNmnMPPe3/mxiU3qvUgCWmFvsrz\n+efwwguh22rUKPlZZbQgKJ8SjcYkiCuGDh0a877DOw/HYDjjn2do7EGSiiefEp85c2DFCrj6amcG\nQ0BldjEonxKNigTxXEFhATUynI9Ku/bv4uH3HmbGZzO48KQLmdF/hroWpEp56CGoVq2kQMjPh3/9\nC266SWMQxH3qbhBP/bj7R9o92Y5l3yxj6ddL6fBUB+atmaexB1IlFBTAjBnO4MSA2rWd71991WlN\naNIEBg6Ejh1VIIj7VCSIK1asWBFxe4sGLeh9Um+eyX5GYw9SSLR8Snw++wxuvhk+/NBpMQguDK64\nAtasgbvvhtxc+M9/Kq9AUD4lGhUJ4oopU6ZE3P7vDf9mybolvPH1G2o9SCHR8inx6dgRnnzS+YpU\nGKxaBffdB61bV24cyqdEozEJ4op58+YBMP3T6Xyz4xvu/fW93JV1l8YepKhAPiU+a9Y4/65bBy+9\nBK+9Bnv3QqdOTmEwcGDlFwSRKJ8SjYoEcUXdunUBOFh4kNytuXR4qoNmLqSwQD4lNvn58MYbMGIE\n5OXBoUPeFwbBlE+JRkWCuGbX/l188fMXLFm3RK0Hkvby8+HNN0NbDFq3hiFDnCWWvS4MRGKhIkEq\nzb6D+/jzij9zz3n3sGLjCt1zQdJepMKgY8fkaTEQiZcGLkql+Xr71/zj439wydxL6HudZi6kk7Fj\nx3odQlLZvRtuuaVk8OHq1dC9O9SrB++9587gw4pQPiUatSRIQuUX5LN0w1IWrFnAa+teY+/BvezY\nv4Mh3Ycwd9hcFQdpomXLll6HkDSysuCGG2DHDrjrLqc7oXVrpxVhzRo48kivIyyb8inRGGut1zEc\nxhjTBcjOzs6mS5cuXocjZQgUBi988QJvfv0meQV5dGraiYHtBjKw3UBaN07ij1Ai5bR7N9x5p7MY\n0oUXwoQJcO65zmqJIl7Kycmha9euAF2ttTkVOZdaEqRcIrUYHFHrCI6qfRTZN2bT5pg2XocoUmmC\nWw+mT4d+/eCUU+Cpp0ru1iiSDlQkSMwiFQadmnbi7u53M7DdQGpXr031atU59ohjvQ5VpFKEtx7M\nmAHH+yfozJkDF1/sbXwiiaYiQUpVWmHQr1U/urSIrTsoNzeXNm3UupAuqmI+g1sPpk6Fq66CZs1K\nfn7lld7FVlFVMZ8SG/WeyWHyC/JZlLuIqxdeTZNHmzBg/gBW/7Kau7vfTe7oXFaNWsWANgO4aM5F\nrNgY25rv48aNq+SoxU1VKZ+7d8ONN0KfPs6AxNWrYfFip2BIF1UpnxIftSQIELnFoGOTjsVdCeGD\nD9s0bsOYc8bQoUmHmM4/bdq0yghbPFJV8hk+9uDGG8EYmDQJGjXyOrrEqSr5lPipSKjirLXM/e9c\nbn/zdrblbyu1MAiWUS2D+3rcF/PjaIpVekn3fIaPPZg0yZm5EBD8/3SQ7vmU8lORUIVt3ruZUa+P\nYvFXixnSYQgTz58YtTB4auVTbNqziYd+85DLUYq4K7z1AJyuhg0bnMWSRKoSFQlVUKD14Nb/u5Ua\nGTV4ZdArDGg7oNRj8g/ls/fgXqy1WhBJ0lK0mQu7dsFRR8Exx3gdoYj7yjVw0Rgz2hjzrTEm3xjz\nkTHmzBiP626MKTDGVGhxBym/zXs3M2D+AIa9Ooy+rfqy9ua1ZRYIAH/o9gf+3vfv5S4QJk+eXK7j\nJDmlWz6zsqBDB5g3D/78Z1i6tGRqY8OGzn0X0rk2Trd8SuLEXSQYYwYDjwETgM7AKmCpMaZxGcc1\nBJ4H3ipHnFJB1lpe/OJF2j3Rjg9//JBXBr3C3Cvn0qju4aOvDhUd4vGPHie/ID9hj5+Xl5ewc4n3\n0iWf4TMX3noLHnwQ5s71OjJ3pUs+JfHiXpbZGPMR8LG19nb/9wb4AfiHtXZKKcdlAuuAIuAya23U\nCfZaljmxgsceDO0wlKkXT41YHAR8tfUrzvjnGbw88GX6tOrjYqQi7gkee/DYYyUzF+bMgcsugwYN\nvI5QpHw8W5bZGFMD6Ar8KbDNWmuNMW8B3Uo5bjhwIvBb4P7yhSrxKs/YA4DWjVvz3e3flVpIiKSq\n4LEHv/mNUyCcfnrJz4cN8y42kWQTb3dDYyAD+Dls+89As8N3B2PMKThFxW+ttUVxRyjlEs/Yg/yC\nfL7Z8U3INhUIko6Cxx5Mn+7cjGniRK+jEklelbriojGmGvAiMMFauyGwOdbj+/Xrh8/nC/nq1q0b\nixYtCtkvKysLn8932PGjR49m5syZIdtycnLw+Xxs3bo1ZPuECRMOG7yzceNGfD4fubm5IdunTp16\n2P3X8/Ly8Pl8rFgRugJhZmYmw4cPPyy2wYMHV8p1PPDAAwy5Y0jI2IM/n/lnhg8ZHvU6Rr4+kgHz\nB1BkiyrtOrZu3Vol85Gu17F169aUuo6SsQcTqFVrMqtXw8iRMH483Hxz6lxHQKJ/rwLnT/XrCKhK\n15GZmVn83tisWTN8Ph9jxow57Jhys9bG/AXUAAoAX9j2WcCrEfZviDMG4aD/uAKgMGhbzyiP0wWw\n2dnZVmL3056f7GWZl1kmYoe+PNRu3bc1puPWb1tvV21eVamx9e/fv1LPL+5KpXwuXWrtccdZW7++\ntZMnW1tU5HVEySeV8illy87OtoAFutg43uMjfcXVkmCtLQCygV6Bbf6Bi72ADyIcshvoAJwOnOb/\nehrI9f//43geXyKzccxcCOwfrNXRrejUtFOlxjhRbbppJRXyGT5z4d574ZFHIOxDoJAa+RRvlGcx\npb8Cs4wx2cAnwBigLk5rAsaYR4AW1trrrPNutDb4YGPML8B+a+2XFQlcHPHOXNiWt40rF1zJn3r9\niXOPc29tWc1SSS/Jns/gmQtPP+10LWzfDi1bQuNSJ2tXTcmeT/FO3EWCtXaBf02EB4GmwOdAH2vt\nFv8uzYDjEheiRGLLOXPhiFpH0LxBczJMhgtRirgreObCuefCe+/BCSc4P2vUCH77W0/DE0k55VqW\n2Vr7JPBklJ8dPsoi9OeTgEnleVxxxNt6EKxGRg0yr8ys5AhF3BfcejBpkvP1+eclRYKIxK9SZzdI\nYsU79gBgy74tzPlijotRRhY+SlhSWzLlM3zswerV8MADsGAB9OvndXSpIZnyKclFRUKK2H1gd7nu\nufDif1/krqy72Ll/pwtRRpeTo9t1pJNkyWdg3YPMTJg82fk+cM+FK6+EmjW9jS9VJEs+JfnEvSyz\nG7QscyhrLYNeHkTWhixmXTYrpuIgoMgWsWXfFprWb1qJEYq4K3jsQa9ezm2cL7wQ/vlPryMT8Z5n\nyzKLN55c+SQvr32ZhYMWllkg7D6wm1oZtahVvRYA1Uw1FQiSViLNXPj0UzjlFK8jE0k/6m5Ictn/\ny+YPWX/gtrNu44q2V5S676GiQ3R/tjvj3x7vUnQi7gkee9CsmTP24KabnJsynXkmHHmk1xGKpB+1\nJCSxXft3MejlQXRq2okpF0W9wWax6tWqc3+P++nSXF00kl6CWw/OPx++/RaOPdbrqETSn1oSkpS1\nlhteu4FteduYf9X84u6DsgxqP4hWR7eq5OjiF2ltdEldbuUz0syFBQuc9Q+q6yNOwuj1KdGoSEhS\ngXEIz172LCcddVLEfb7e/jVDXh7CvoP7XI4ufrfccovXIUgCuZHPwMyFOXPgqadKZi40aVIyg0ES\nQ69PiUZFQhKKdRxCQWEB67evZ/PezS5GVz69e/f2OgRJoMrMZ3DrQaNGcOAAdO/ujD2QyqHXp0Sj\nBrskE884hLbHtOXTGz/F6K+npInwmQs33uhMb9TMBRFvqCUhiZQ1DuHH3T/yxc9fhGxTgSDpYPdu\npzjo08dZRjkwc6FaNRUIIl5SkZBEyhqHcNPrN3HLG6nZd7ho0SKvQ5AESmQ+A2MP5s+HevVg8GCN\nOXCbXp8SjYqEJBHLOITpl05n4aCFLkeWGJmZuqlUOklEPiPNXNiwAUaPTkCAEhe9PiUaLcucBHbt\n30WXZ7pwdJ2jWTF8RXE3g7VW3QmSlpYudW7bvG8f/P3vzqqJ+lUXSYxELsuslgSPRRuHsCN/Bz2f\n78myb5Z5HKFI4gRaD/r2hYwMp2shsGqiiCQfzW7wWPB9GYLHITSo1YDjGx5PvZr1PIxOJHHCZy5c\nfz3Uim2NMBHxiIoED5U2DqF6terMHjDbo8hEEmf3bue2zW+95dypccYMDUwUSRXqbvBI+HoIhUWF\nLP16qddhVZrhw4d7HYIkUKz5DMxcWLECunaF119XgZCM9PqUaFQkeCDSOISFXy7kkrmXsH7beq/D\nqxRa0S29lJXPXbtCZy7k5jq3c1b3QnLS61OiUXeDByKNQxjYbiCtG7XmlEbpuXLM0KFDvQ5BEqi0\nfP71r3DPPVCzpjP2QDMXkp9enxKNigSXBY9DGNBmQPF2YwynNTvNw8hEKmb3brjzTmfMQfPmsGQJ\nnHGG11GJSEWou8FFweMQWjRowcjXRpKM61SIxGPvXmfdgw4dYN48p/Vg0yYVCCLpQEWCS8LHITRv\n0Jym9ZtiqRpFwooVK7wOQRIokM+vvnJu3dy3b8mqiVr3IPXo9SnRqLvBJeHjECLdmyGdTZkyhfPO\nO8/rMCRBpkyZQl7eedxwAxQWwiOPwN13qzhIVXp9SjQqElyQ/b9sxiwdw6iuo6LelyHdzZs3z+sQ\nJAG2b4edO6FRo3n06eOse7B8uaY1pjq9PiUaFQmVbNf+XQx8aSAWy1F1jvI6HM/UrVvX6xCkgoqK\n4LTTnBUTjamrmQtpRK9PiUZFQiUKjEPYnr+dxUMWc9FJF3kdkki5BGYu/Pgj9OgBs2er9UCkKlCR\nUEmstSHjEPqd0s/rkETismEDfP89HDoUes8FtR6IVB2a3VAJ1vyyhs7TO0e9L0NVNHbsWK9DkDj9\n8Y8wZEjJqonBMxeUz/SifEo0KhIqQUa1DNZvX0+bxm2YctEUr8NJCi1btvQ6BIlDVhZ88AHk5zut\nB1lZod0Lymd6UT4lGhUJCWat5f537qdGtRq8OvhValXXYvUAt956q9chSCk+/thpOdi9u+SeC23b\nRl/3QPlML8qnRKMiIQEOFR1izS9rgJL1EJ697NkqtxaCpK7vvoOXX4b27UtWTQxvPRCRqkdFQgI8\n/N7D9Hy+J1kbsjQOQVJC8Grgu3fDv/8NX38Nbdpo1UQRKaEiIQFuPvNm+pzch34v9uOsY8/SOIQI\ncnNzvQ5B/D75BLp0gW3bnNaCDh1g/vz4Wg+Uz/SifEo0KhIqaOWmlfR8vicL1ixgUs9JvH3t2xqH\nEMG4ceO8DkH8TjgBTj4Zbr018syFWCif6UX5lGi0TkI5fPzjx2zYvoHVW1Yz5f0pnNbsNLJHZtOx\naUevQ0ta06ZN8zqEKmv7djjqqJIC4PPPndaEiqx7oHymF+VTolGRUA6T359M1oYsDhYeZFLPSYzr\nPhriklIAABTqSURBVI4aGTW8DiupaYqVN374welOeO455z4Ld94JM2Y4/58xo/wDE5XP9KJ8SjQq\nEuJw4NABJr07iSVfLaFj047Mvny2Wg8kqR13nHOHxqIip1jQqokiEg8VCTGw1rJy00qGLxnO+m3r\n1XogSSsnB5o0gV/9yvl+92747LPEtB6ISNWjgYtlyC/I57SnT6Pbs92oXb022SOzGd9jvAqEOE2e\nPNnrENLegQNwySUQ6F4OzFyojHUPlM/0onxKNGpJKMXKTSu5fvH1fLX1K65seyUvXvGiioNyysvL\n8zqEtFerFixbBk2bOqsmVmbrgfKZXpRPicbY4FVVkoQxpguQnZ2dTZcuXVx//MDYg8DMhVmXzdLY\nA0k6Tz3lzFoYMqRk29Klzh0bd+6ERx/V2AORqignJ4euXbsCdLXW5lTkXOpuCLNy00o6PtWRRz94\nlEk9J/HR7z5SgSBJacUKZ7wBwK5dTutB375aNVFEEkfdDX7BrQfGGEZ1HcX4HuO9Dkuk2KFDUD3o\nFfvCC1CtWmjrgWYuiEgiqUigZOxBYOZC+ybt6XlCT6/DSitbt26lcePGXoeRsu65B778EhYvLtm2\nZw/cdZc3MxeUz/SifEo0Vbq74cChA9y77F66zQyduXB5m8s5svaRXoeXVkaMGOF1CCmte3e49NKS\nGzMtXVp5MxdioXymF+VToqmyLQnBrQcXt7qYOVfMoWHthl6HlbYmTpzodQgp4+BBWLMGOncu2da/\nv/Pvrl3etR4EUz7Ti/Ip0VS5loTw1oNXB7/Ku9+/y3+++4/XoaU1L2appKqHHnIKgPz80O1etx4E\nUz7Ti/Ip0VSploQd+TvoM6cPn2/+PGTVxA23beCYesd4HZ4I4Nyd8aqroE4d5/tkaT0QkaqnyhQJ\nO/J30HtOb77Z8Q0f/u5DurboWvwzFQjile++g1mzYMKEkhkJxxzjfIFmLoiIt6pEd0NwgTCj/wzG\nvTWOX/b94nVYVcrMmTO9DiEprV8PzzwDP/4Yuj3Z1z1QPtOL8inRlKtIMMaMNsZ8a4zJN8Z8ZIw5\ns5R9BxhjsowxvxhjdhljPjDG9C5/yPEJLhDevvZtTm92OtWrVaegsMCtEARnBTCBwsLQ7y+6CL75\nxrlbY0AyjT2IRvlML8qnRBP3sszGmMHA88BI4BNgDDAQONVauzXC/n8DNgHvADuBEcBdwFnW2lVR\nHiMhyzKHFwinNTut3OcSqahPPoHBg2H58pK7NAbT2AMRSYRELstcnjEJY4Dp1trZAMaYUcAlOG/+\nU8J3ttaOCds03hhzGdAfiFgkJIIKBEk2bdtCv37OKonhNPZARJJRXN0NxpgaQFdgWWCbdZoi3gK6\nxXgOAzQAtsfz2PFQgSBes9bpJgjuXmjQAJ54Alq0KNmW7GMPRKRqi3dMQmMgA/g5bPvPQLMYzzEW\nqAcsiPOxY6ICQZLB2rXQpw+88UbknxcVweuvJ//YAxGp2lyd3WCMuRq4HxgYafxCuH79+uHz+UK+\nunXrxqJFi0L2y8rKwufzHVYgPPP/njls1G5OTg4+n4+tW0MffsKECUyePDlk28aNG/H5fOTm5oZs\nnzp1KmPHjg3ZlpeXh8/nY8WKFSHbMzMzGT58+GHXNnjw4KjXEW706NEpfx0+ny8trgNiy0f79s4d\nGleuLLmOoiJ4/30YMWIj9er56N8/N6T1YNq05LuOgPB8+Hy+lMpHtOuA1Pq9qqzrCMST6tcRUJWu\nIzMzs/i9sVmzZvh8PsaMCe/lrwBrbcxfQA2gAPCFbZ8FvFrGsUOAvUDfGB6nC2Czs7NtrLbnbbdn\nPHOGPXry0fbznz6P+Thxx9KlS70OodJs3Wrt1Vdbu2bN4T8rLLR2xQprb7/d2mOPtRasbdHC2ttu\ns3b5cmuLityPNxHSOZ9VkfKZXrKzsy1ggS42jvf4SF9xDVy01hYYY7KBXsASKB5j0Av4R7TjjDFD\ngRnAYGvtm/E8ZizUxZD8evd2bdar6xo0gI0bYdMmaNfOaTH48EN46SV4+WVne4sWziqKAwfCuedG\nHryYStI5n1WR8inRlGd2w1+BWf5iITAFsi5OawLGmEeAFtba6/zfX+3/2W3ASmNMU/958q21uysU\nPSoQxH07dkDt2iXLJtesCe++6xQGd9yRvoWBiFQ9cRcJ1toFxpjGwINAU+BzoI+1dot/l2ZA0NIw\n3Igz2PEJ/1fA8zjTJstNBYK4bd8+aN0axo2DP/wh/VsMRKRqK9efMGvtk9baE6y1day13ay1nwb9\nbLi19jdB319grc2I8KUCoQoJHyyUqurUgVtuga++gpYt4bzznCLhyiudRZJ++AEef9zZns4FQrrk\nUxzKp0STkn/GVCCknszMTK9DiFtREWRmwscfO7MS7rjDKQwmTHCmNla1wiBYKuZTolM+JZq4l2V2\nQ2nLMqtAEDcEpitecQUcOAB79qgrQURSg9fLMntGBYJUpkOH4L33YMmSkjEGzZvD1VerMBCRqill\nigQVCFIZAtMVFyxwVj08eFAtBiIiASlRJKhAkESKto5Bjx4wYACMGqXCQEQEUmDgogqE9BBpaVE3\nBcYYBAYfnncezJkTOvjw3/+Gm29WgRALr/MpiaV8SjRJ3ZKwe/9uFQhpwosV3SK1GDRv7nQjrFgB\nZ5zhzEqQ+GmFvvSifEo0ST27oe34tvx8xM8qECRm0QqDyy93BiAGxhjs2eMspywikm4SObshqRtW\nN+3ZpAJByhSpK2HBAmf64vLl0LUrFBSErmOgAkFEpGxJ3d0w/ZLpKhAkqsJCmDYN/vKXkhaDq66C\nQYNCZyX8739w9NHexioikoqSuiXh1Maneh2CJEj4fdIrav16OP98p/WgTx+nxeDHH8Hng507Qwcf\nDhoEF16Y0Iev8hKdT/GW8inRJHWRIOljypQpCTlPYSH87W/QqRNs3uzcfXHmzJKuhH/+E2bPTshD\nSSkSlU9JDsqnRJPU3Q2SPubNm1fhc6xfD8OHO+MPbrsNHn4YwsfdzpwJ9epV+KGkDInIpyQP5VOi\nUUuCuKJu3brlPjZS68Hjj8ONN8J114XuW78+GFPBYKVMFcmnJB/lU6JRS4IktfDWgz/9qaSl4Npr\nISPD2/hERNKZWhIkKYW3Htx5J7RtG9qVcPHFoDVgREQqj4oEccXYsWNj3jcwc+EPf4CRI2HVKufG\nS7m5lRigxCWefEryUz4lGnU3iCtatmxZ5j6FhfCPf8C998IxxzhjD3r0cH72+OMaa5BMYsmnpA7l\nU6JJ6mWZs7Oz6dKli9fhiAuCxx60aAHt20NWltdRiYiknkQuy6yWBPFUYaHTSjB+PBx7rNN60KQJ\nNGvmdWQiIqIiQTyzfj107w5bthw+c0FERLyngYviitygUYfBMxcAHnjAaU1QgZA6cjWKNK0onxKN\nigRxxbhx43j5ZWdFxOCZC99+C5MmeR2dxGvcuHFehyAJpHxKNOpuEFc8/vg0+vVzuhhOOCF05oKk\nnmnTpnkdgiSQ8inRqCVBKsWmTbBxo/P/1avhmmtakpsLo0c76x6oQEhtmjKXXpRPiUYtCZJw1kK3\nbtC0KRQUOEXBySer9UBEJNWoJUEqrKAADhyAdeucOzN27gw//ABffukspfzKK05rggoEEZHUoiJB\nKmT1aqfF4OSToXVreOSRksJgyxbIzIQBA+Dxxyd7Haok0OTJymc6UT4lGnU3SNzWrYOXXnK+Vq2C\nWrXgnHNg6lTo2xfq1Dn8mLy8PPcDlUqjfKYX5VOi0bLMEpN16+D5/9/e/cdWVZ9xHH8/Ioow0Ywa\nChMBZWhKzJxTJ5kOBhMEQiULsoiJY+gME9gk/ooZsUwzF0amxBmiyRgq/ooJGbBFw9TMbDqgc2Rz\nKHNRYTopCkhQmT8aefbH99zcH57T9vbe9pyefl5JQ3t6zrlPffz2Pv2e748HQyHwwQdhTYPZs2He\nvOTCQEREep+WZZZeUdljMGQIDBsGN90EN96owkBEJO9UJEiZQmHw+ONhvMHgwdDcDC0t6jEQEelv\nVCRIbI/B9OlhrYP162HWrNpf48CBAzQ0NNR+I8kE5TNflE9JotkN/VRhuuI554RZCXfcAWedVZyV\nsGEDvPtufQoEgIULF9bnRpIJyme+KJ+SRD0J/Uhcj8Hs2TB/PtxyCyxdGnZlLDi2jv93rFixon43\nk9Qpn/mifEoSFQk5F1cYnHtu6DEojDFwh8svh7Fjey4OzVLJF+UzX5RPSaIiIYeSegxaWqCtDa6/\nPqx+WBiEaNazBYKIiPRNKhJyIq4wuOQSmDsXbrihWBAcOQJz5oSpjCIiIh3RwMU+rHLwYeWSyKee\nCmvXwqBBxWuGDIGRI3s/1rVr1/b+i0qPUT7zRfmUJCoS+pikwmDNGnj22eJeCSecAMuXw44d4XFC\n2nbsqGnRL8kY5TNflE9JomWZ+4CkMQalSyJPmgQnnQSbN6cdrYiIpEnLMvcDHQ0+HDkSRoyA004r\nnr9uHTQ2pheviIjkj4qEDOmoMCj0GLS3hyLh2mvDY4eC009PL24REcknFQkp66gwuPDCMAhx6tTi\n7ISBA+G552D8+FTDFhGRfkADF1PQ2ayEwuDDTz+FZcvgxRfLr58wIRQLfUlzc3PaIUgdKZ/5onxK\nEhUJvaSzwuCKK+DRR8t3WRw9Gg4ehClT0ou7XpYsWZJ2CFJHyme+KJ+SRI8belDSo4Tbbgt7JAwf\nXjz3uONC78BHH5UXCiee2Ptx94Rp06alHYLUkfKZL8qnJFGRUGddGXw4Y0boQXj44eJ1l14aPkRE\nRLJCRUI3HToEL78Mr7xS/m9bW7EwWL489BCcf36YsliwdCkMHZpe7CIiIl2hIqETlcVA4fO2tvD9\nAQNg3LgwmPDqq+G882DatNBj8OGH0NAAq1fDokXFe86cmc7PkqaNGzcyZ86ctMOQOlE+80X5lCRa\ncTFSKAYqC4J9+8L3S4uBpqbw74QJYSri8cfDCy/AnXfCpk1wbEnptWdPGICYhaWR0zRx4kS2bt2a\ndhhSJ8pnviif+ZL6iotmthi4EWgE/gEsdfe/dnD+ZOCXwATgTeBn7v5gd167VtUUA9dc8/liAODe\ne+HoUTj77OJ9Bw4M1x46BKecUjw+Zkyv/WiZdkrpfxTp85TPfFE+JUnVRYKZfZfwhn8t0AosA7aY\n2Xh3PxBz/hjg98AaYD7wbeDXZrbX3Z/ufugdq0cx0NYGjzwCs2YVjwFs316+JDLABRdo3wQREcmX\n7vQkLAPud/eHAMxsETALWAj8Iub8HwJvuPvN0devmtlF0X1qLhK6Uww0NYW1Ckrf+F96Kdyr9NjB\ng2FWwpQpUPrUY/36WqMWERHJvqqKBDMbCHwNuLNwzN3dzJ4BJiZcdiHwTMWxLcDd1bx2NQMIk3oG\nAD77DHbuhE8+KT++ahW88UYYW1DQ1ASHD5ePMRAREekvqn37awAGAO9UHH8HODPhmsaE84ea2fHu\n/knMNYMAbr11F4cOwe7dcCB6kHHMMTBqVNjQaOZMOOOM8Pno0WG6Yan29lBMlNq/P6xHsGpV+UqG\nCxaEqYvaVr1ntLa2as/6HFE+80X5zJddu3YVPh1U672qmt1gZiOAt4GJ7r695PhK4Jvu/rneBDN7\nFfiNu68sOTaDME5hcFyRYGbzgUeq+UFERESkzJXu/mgtN6i2J+EA8BkwvOL4cGBfwjX7Es5/P6EX\nAcLjiCuBPcDHVcYoIiLSnw0CxhDeS2tSVZHg7u1m9jdgKrAZwMws+vqehMu2AjMqjk2Ljie9zkGg\npupHRESkH/tLPW7SnV0g7wJ+YGZXmdlZwH3AYOABADP7uZmVroFwH3C6ma00szPN7DpgbnQfERER\nyaiqx+27+xNm1gDcTnhs8Hdgurvvj05pBEaVnL/HzGYRZjP8CPgvcLW7V854EBERkQzJ5LLMIiIi\nkr7uPG4QERGRfkBFgoiIiMTKXJFgZovNbLeZfWRm28zs/LRjku4xsxYzO1rx8UracUnXmNnFZrbZ\nzN6Octccc87tZrbXzP5nZk+b2bg0YpXOdZZPM1sX016fTCte6ZiZ3WpmrWb2vpm9Y2a/NbPxMefV\n1EYzVSSUbB7VAnyVsMPklmigpPRNOwkDXBujj4vSDUeqMIQwMPk64HODl8zsFmAJYbO3C4AjhPZ6\nXOW5kgkd5jPyFOXt9YreCU264WLgV8DXCRsnDgT+YGYnFE6oRxvN1MBFM9sGbHf3H0dfG/AWcI+7\nx20eJRlmZi3AZe5+bqcnS6aZ2VFgjrtvLjm2F1jl7ndHXw8lLLn+PXd/Ip1IpSsS8rkOOMndv5Ne\nZNJd0R/T7xJWP34+OlZzG81MT0LJ5lHPFo55qGA62jxKsu/LUffm62b2sJmN6vwSyTozG0v4S7O0\nvb4PbEfttS+bHHVd/8vM1pjZF9MOSLrsZEIP0XtQvzaamSKBjjePauz9cKQOtgELgOnAImAs8Ccz\nG5JmUFIXjYRfSGqv+fEUcBUwBbgZmAQ8GfXoSoZFOVoNPO/uhXFfdWmj2gRZeoy7l64bvtPMWoH/\nAPOAdelEJSJxKrqfXzazfwKvA5OBP6YSlHTVGqAJ+Ea9b5ylnoTubB4lfYi7Hwb+DWgEfN+3DzDU\nXnPL3XcTfi+rvWaYmd0LzAQmu3tbybfq0kYzUyS4eztQ2DwKKNs8qi4bVUi6zOwLhF84bZ2dK9kW\nvYHso7y9DiWMtFZ7zQEzOxUYhtprZkUFwmXAt9z9zdLv1auNZu1xw13AA9FOk63AMko2j5K+xcxW\nAb8jPGL4EvBToB14LM24pGuisSPjCH+NQNio7SvAe+7+FuEZ6HIze42wrfsdhL1ZNqUQrnSio3xG\nHy3ABsIbyzhgJaHnr+bthqX+zGwNYYpqM3DEzAo9Bofd/ePo85rbaKamQAJEu0TeTHHzqKXu/mK6\nUUl3mNljhLm8w4D9wPPAT6IKVzLOzCYRnkVX/pJ40N0XRuesIMzBPhn4M7DY3V/rzTilazrKJ2Ht\nhI3AOYRc7iUUB7eVbN4nGRJNY417A/++uz9Uct4KamijmSsSREREJBsyMyZBREREskVFgoiIiMRS\nkSAiIiKxVCSIiIhILBUJIiIiEktFgoiIiMRSkSAiIiKxVCSIiIhILBUJIiIiEktFgoiIiMRSkSAi\nIiKx/g8H89dy58dShgAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xbtall=[op.fsolve(lambda p:botlim(p,i)-0.95,plim1(xps[i]))[0] for i in range(1,20)]\n",
"xupall=[op.fsolve(lambda p:uplim(p,i)-0.95,plim2(xps[i]))[0] for i in range(1,20)]\n",
"xps=r_[:20]\n",
"plot(xps[1:],xbtall,':')\n",
"plot(xps[1:],xupall,':')\n",
"plot(xps,plim1(xps),'b')\n",
"plot(xps,plim2(xps),'g')\n",
"grid()\n",
"i=5\n",
"title(\"obe konstrukce jsou ekvivalentni\")\n",
"xps[i+1]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"optimize.fsolve(lambda p:botlim(p,18)-0.975,0.6)[0]"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"marked": false
}
},
"source": [
"Spojitá rozdělení\n",
"----------------\n",
"\n",
"Pro normální rozdělení je situace jednodušší díky symetrii integrálu (graf z obr. 2 dává ve směru obou os v řezu gaussovky). \n",
"\n",
"Podmínka $$\\int_x^{\\infty}{\\frac{1}{\\sigma\\sqrt{2\\pi}} e^{-(x'-p_-)^2/2\\sigma^2} dx'} =0.025$$\n",
"je ekvivalentní přímému výpočtu\n",
"$$\\int_{-\\infty}^{p_-}{\\frac{1}{\\sigma\\sqrt{2\\pi}} e^{-(x'-x)^2/2\\sigma^2} dx'} = \\int_{-\\infty}^{p_-+x}{\\frac{1}{\\sigma\\sqrt{2\\pi}} e^{-x''^2/2\\sigma^2} dx''} = 0.025$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"konfidenční pás je pruh mezi rovnoběžnými přímkami (se sklonem 1, stejně vzdálené horizontálně i vertikálně). "
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false,
"run_control": {
"marked": false
}
},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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XdRLhBHx9u1FZWVbvc57APuAvHh5ssHJsp05dqaj4xZ7xhIPJzN5ZVFdrdx96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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xf=r_[:16:0.2]\n",
"qfun=stats.norm(20*0.3,sqrt(0.3*(1-0.3)*20))\n",
"bar(r_[0:15]-0.4,vals)\n",
"plot(xf,qfun.pdf(xf),'r')"
]
},
{
"cell_type": "markdown",
"metadata": {
"run_control": {
"marked": false
}
},
"source": [
"aproximace úvodního problému rozdělením $N(\\mu=n p,\\sigma^2=n p(1-p))$"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": false,
"run_control": {
"marked": false
}
},
"outputs": [
{
"data": {
"text/plain": [
"(0.052879819083977077, 0.34712018091602292)"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#qfun2=stats.norm(8*0.5,sqrt(0.8*(1-0.5)*8))\n",
"qfun2=stats.norm(4,sqrt(4*(1-4./20)))\n",
"qfun2.ppf(0.05)/20,qfun2.isf(0.05)/20"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false,
"run_control": {
"marked": false
}
},
"outputs": [
{
"data": {
"text/plain": [
"(0.19290294999413116, 0.80709705000589183)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# varianta prikladu 90% konfid. interval pri 4 uspesnych pokusech z 8\n",
"from scipy import optimize\n",
"botlimq=lambda p,k,nn:stats.binom(nn,p).cdf(k-1)\n",
"uplimq=lambda p,k,nn:1-stats.binom(nn,p).cdf(k)\n",
"xbtq=optimize.fsolve(lambda p:botlimq(p,4,8)-0.95,0.1)[0]\n",
"xupq=optimize.fsolve(lambda p:uplimq(p,4,8)-0.95,0.4)[0]\n",
"xbtq,xupq"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"pocitano z aproximace normalnim rozdelenim"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false,
"run_control": {
"marked": false
}
},
"outputs": [
{
"data": {
"text/plain": [
"(0.21343635827709961, 0.78656364172290039)"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"qfun3=stats.norm(8*0.5,sqrt(0.8*(1-0.5)*8))\n",
"qfun3.ppf(0.1)/8,qfun3.isf(0.1)/8"
]
}
],
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