{"id":18212,"date":"2024-02-06T21:05:23","date_gmt":"2024-02-06T21:05:23","guid":{"rendered":"https:\/\/science-hub.click\/%E3%83%AC%E3%82%A4%E3%83%AA%E3%83%BC%E3%81%AE%E6%B3%95%E5%89%87-%E5%AE%9A%E7%BE%A9\/"},"modified":"2024-02-06T21:05:23","modified_gmt":"2024-02-06T21:05:23","slug":"%E3%83%AC%E3%82%A4%E3%83%AA%E3%83%BC%E3%81%AE%E6%B3%95%E5%89%87-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=18212","title":{"rendered":"\u30ec\u30a4\u30ea\u30fc\u306e\u6cd5\u5247 – \u5b9a\u7fa9"},"content":{"rendered":"

\u5c0e\u5165<\/h2>
\u30ec\u30a4\u30ea\u30fc<\/th><\/tr>
\n\"\u30ec\u30a4\u30ea\u30fc\u306e\u6cd5\u5247\u306e\u5bc6\u5ea6\u30b0\u30e9\u30d5\"<\/figure><\/td><\/tr>
\n\"\u30ec\u30a4\u30ea\u30fc<\/figure><\/td><\/tr>
<\/td><\/tr>
\u8a2d\u5b9a<\/th>
$$ {\\sigma>0\\,\\,} $$<\/div><\/tr>
\u30b5\u30dd\u30fc\u30c8<\/th>
$$ {x\\in [0;\\infty)} $$<\/div><\/td><\/tr>
\u78ba\u7387\u5bc6\u5ea6<\/a><\/span>(\u8cea\u91cf\u95a2\u6570) <\/th>
$$ {\\frac{x \\exp\\left(\\frac{-x^2}{2\\sigma^2}\\right)}{\\sigma^2}} $$<\/div><\/td><\/tr>
\u5206\u5e03\u95a2\u6570<\/a><\/span><\/th>
$$ {1-\\exp\\left(\\frac{-x^2}{2\\sigma^2}\\right)} $$<\/div><\/td><\/tr>
\u5e0c\u671b<\/th>
$$ {\\sigma \\sqrt{\\frac{\\pi}{2}}} $$<\/div><\/td><\/tr>
\u4e2d\u592e\u5024<\/a><\/span>\uff08\u4e2d\u592e\uff09 <\/th>
$$ {\\sigma\\sqrt{\\ln(4)}\\,} $$<\/div><\/td><\/tr>
\u30d5\u30a1\u30c3\u30b7\u30e7\u30f3<\/th>
$$ {\\sigma\\,} $$<\/div><\/td><\/tr>
\u5206\u6563<\/a><\/span><\/th>
$$ {\\frac{4 – \\pi}{2} \\sigma^2} $$<\/div><\/td><\/tr>
\u975e\u5bfe\u79f0\u6027<\/a><\/span>\uff08\u7d71\u8a08\uff09 <\/th>
$$ {\\frac{2\\sqrt{\\pi}(\\pi – 3)}{(4-\\pi)^{3\/2}}} $$<\/div><\/td><\/tr>
\u5c16\u5ea6(\u6a19\u6e96\u5316\u3055\u308c\u3066\u3044\u306a\u3044) <\/th>
$$ {-\\frac{6\\pi^2 – 24\\pi +16}{(4-\\pi)^2}} $$<\/div><\/td><\/tr>
\u30a8\u30f3\u30c8\u30ed\u30d4<\/a><\/span><\/th>
$$ {1+\\ln\\left(\\frac{\\sigma}{\\sqrt{2}}\\right)+\\frac{\\gamma}{2}} $$<\/div><\/td><\/tr>
\u30e2\u30fc\u30e1\u30f3\u30c8\u767a\u751f\u6a5f\u80fd<\/a><\/span><\/th>
$$ {1+\\sigma t\\,e^{\\sigma^2t^2\/2}\\sqrt{\\frac{\\pi}{2}} \\left(\\textrm{erf}\\left(\\frac{\\sigma t}{\\sqrt{2}}\\right)\\!+\\!1\\right)} $$<\/div><\/td><\/tr>
\u7279\u5fb4\u7684\u306a\u6a5f\u80fd<\/a><\/span><\/th>
$$ {1\\!-\\!\\sigma te^{-\\sigma^2t^2\/2}\\sqrt{\\frac{\\pi}{2}}\\!\\left(\\textrm{erfi}\\!\\left(\\frac{\\sigma t}{\\sqrt{2}}\\right)\\!-\\!i\\right)} $$<\/div><\/td><\/tr><\/table>

\u78ba\u7387\u3068\u7d71\u8a08<\/a><\/span>\u306b\u304a\u3044\u3066\u3001\u30ec\u30a4\u30ea\u30fc\u306e\u6cd5\u5247<\/b>\u306f\u5bc6\u5ea6<\/a><\/span>\u78ba\u7387\u6cd5\u5247<\/a><\/span>\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u5ea7\u6a19\u304c\u72ec\u7acb\u3057\u3066\u304a\u308a\u3001\u4e2d\u5fc3\u304c\u3042\u308a\u3001\u5206\u6563\u304c\u540c\u3058\u3067\u3042\u308b 2 \u6b21\u5143\u30ac\u30a6\u30b9\u30d9\u30af\u30c8\u30eb<\/a><\/span>\u306e\u30ce\u30eb\u30e0<\/a><\/span>\u3068\u3057\u3066\u8868\u793a\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u78ba\u7387<\/a><\/span>\u306e\u6cd5\u5247\u306f\u30ec\u30a4\u30ea\u30fc\u537f\u306b\u3061\u306a\u3093\u3067\u540d\u4ed8\u3051\u3089\u308c\u307e\u3057\u305f\u3002<\/p>

\u901a\u5e38\u3001\u8ddd\u96e2\u306f

$$ {\\scriptstyle\\ D_{n}\\ } $$<\/div>\u5e73\u9762\u5185\u3067n<\/i>\u30b9\u30c6\u30c3\u30d7\u306e\u5bfe\u79f0\u30e9\u30f3\u30c0\u30e0 \u30a6\u30a9\u30fc\u30af\u3092<\/a><\/span>\u5b9f\u884c\u3057\u305f\u5f8c\u3001\u7c92\u5b50\u304c\u305d\u306e\u958b\u59cb\u70b9\u304b\u3089\u4f4d\u7f6e\u3059\u308b\u4f4d\u7f6e\u306f\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc<\/a><\/span>\u3092\u4f34\u3046\u30ec\u30a4\u30ea\u30fc\u6cd5\u5247\u306b\u307b\u307c\u5f93\u3046
$$ {\\scriptstyle\\ \\sqrt{n}.\\ } $$<\/div>\u307e\u3063\u305f\u304f\u7570\u306a\u308b\u5206\u91ce\u3067\u306f\u3001\u72ed\u5e2f\u57df\u30ac\u30a6\u30b9\u904e\u7a0b\u306e\u30a8\u30f3\u30d9\u30ed\u30fc\u30d7\u3092\u8a18\u8ff0\u3059\u308b\u305f\u3081\u306b\u3088\u304f\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>

\u30ec\u30a4\u30ea\u30fc\u306e\u6cd5\u5247\u5bc6\u5ea6\u306f<\/p>

$$ {f(x;\\sigma) = \\frac{x}{\\sigma^2} \\exp\\left(\\frac{-x^2}{2\\sigma^2}\\right)} $$<\/div><\/dd><\/dl>

\u306e\u305f\u3081\u306b

$$ {x \\in [0,\\infty).} $$<\/div><\/p>

\u30d7\u30ed\u30d1\u30c6\u30a3<\/h2>

\u77ac\u9593\u306f\u6b21\u306e\u3088\u3046\u306b\u4e0e\u3048\u3089\u308c\u307e\u3059\u3002 <\/p>

$$ {m_k=\\sigma^k2^{k\/2}\\,\\Gamma(1+k\/2)\\,} $$<\/div><\/dd><\/dl>

\u3053\u3053\u3067\u3001 \u0393( z<\/i> ) \u306f<\/span>\u30ac\u30f3\u30de\u95a2\u6570<\/a><\/span>\u3067\u3059\u3002<\/p>

\u30ec\u30a4\u30ea\u30fc\u78ba\u7387\u5909\u6570<\/a><\/span>X<\/i>\u306e\u671f\u5f85\u5024\u3068\u5206\u6563\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/p>

$$ {\\mathbb{E}[X] = \\sigma \\sqrt{\\frac{\\pi}{2}}\\,} $$<\/div><\/dd><\/dl>

\u305d\u3057\u3066<\/p>

$$ {\\textrm{Var}(X) = \\frac{4 – \\pi}{2} \\sigma^2\\,.} $$<\/div><\/dd><\/dl>

\u6b6a\u5ea6\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/p>

$$ {\\gamma_1=\\frac{2\\sqrt{\\pi}(\\pi – 3)}{(4-\\pi)^{3\/2}}.} $$<\/div><\/dd><\/dl>

\u5c16\u5ea6\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/p>

$$ {\\gamma_2=-\\frac{6\\pi^2 – 24\\pi +16}{(4-\\pi)^2}.} $$<\/div><\/dd><\/dl>

\u7279\u5fb4\u7684\u306a\u6a5f\u80fd\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/p>

$$ {\\varphi(t):1\\!-\\!\\sigma te^{-\\sigma^2t^2\/2}\\sqrt{\\frac{\\pi}{2}}\\!\\left(\\textrm{erfi}\\!\\left(\\frac{\\sigma t}{\\sqrt{2}}\\right)\\!-\\!i\\right)} $$<\/div><\/dd><\/dl>

\u307e\u305f\u306f

$$ {\\operatorname{erfi}(z)} $$<\/div>\u306f\u8907\u7d20\u8aa4\u5dee\u95a2\u6570\u3067\u3059\u3002\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306f\u3001 <\/p>
$$ {M(t)=\\,1+\\sigma t\\,e^{\\sigma^2t^2\/2}\\sqrt{\\frac{\\pi}{2}} \\left(\\textrm{erf}\\left(\\frac{\\sigma t}{\\sqrt{2}}\\right)\\!+\\!1\\right),} $$<\/div><\/dd><\/dl>

\u307e\u305f\u306f

$$ {\\operatorname{erf}(z)} $$<\/div>\u306f\u8aa4\u5dee\u95a2\u6570\u3067\u3059\u3002<\/p>

\u30a8\u30f3\u30c8\u30ed\u30d4<\/span><\/h3>

\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u306f<\/p>

$$ { H = 1 + \\ln\\left(\\frac{\\sigma}{\\sqrt{2}}\\right) + \\frac{\\gamma}{2} } $$<\/div><\/dd><\/dl>

\u3053\u3053\u3067\u3001 \u03b3 \u306f<\/span>\u30aa\u30a4\u30e9\u30fc\u30fb\u30de\u30b9\u30b1\u30ed\u30fc\u30cb\u5b9a\u6570\u3067\u3059\u3002<\/p>

\u30ec\u30a4\u30ea\u30fc\u5909\u6570\u3092\u751f\u6210\u3059\u308b<\/h2>

\u533a\u9593 (0, 1) \u4e0a\u306e\u5747\u4e00\u5909\u6570<\/a><\/span>U<\/i>\u304c\u4e0e\u3048\u3089\u308c\u308b\u3068<\/a><\/span>\u3001\u5909\u6570<\/p>

$$ {X=\\sigma\\sqrt{-2 \\ln(U)}\\,} $$<\/div><\/dd><\/dl>

\u30d1\u30e9\u30e1\u30fc\u30bf\u03c3 \u3092<\/span>\u4f7f\u7528\u3057\u3066\u30ec\u30a4\u30ea\u30fc\u306e\u6cd5\u5247\u306b\u5f93\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u5206\u5e03\u95a2\u6570\u306e\u5f62\u5f0f\u3001\u7279\u306b\u9006\u6570<\/a><\/span>\u5b9a\u7406<\/span>\u3001\u304a\u3088\u30731-U \u304c<\/i>U<\/i>\u3068\u540c\u3058\u6cd5\u5247\u3092\u6301\u3064\u3068\u3044\u3046\u4e8b\u5b9f\u304b\u3089\u6765\u3066\u3044\u307e\u3059\u3002<\/p>

\u30d1\u30e9\u30e1\u30fc\u30bf\u63a8\u5b9a<\/h2>

N \u500b<\/i>\u306e\u72ec\u7acb\u3057\u305f\u30ec\u30a4\u30ea\u30fc\u5909\u6570\u3068\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u03c3<\/span>\u306b\u95a2\u3059\u308b\u540c\u3058\u6cd5\u5247\u3092\u4eee\u5b9a\u3059\u308b\u3068\u3001 \u03c3<\/span>\u306e \u6700\u5c24<\/a><\/span>\u63a8\u5b9a\u91cf\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>

$$ {\\hat{\\sigma}=\\sqrt{\\frac{1}{2N}\\sum_{i=1}^N X_i^2}.} $$<\/div><\/dd><\/dl>

\u7279\u5b9a\u306e\u96e2\u6563\u5206\u5e03\u3068\u306e\u30ea\u30f3\u30af<\/h2>

\u98db\u884c\u6a5f\u5185\u3067\u306e\u30e9\u30f3\u30c0\u30e0\u30a6\u30a9\u30fc\u30af<\/a><\/span><\/span><\/h3>
\n\"\"<\/figure>
\u30cd\u30c3\u30c8\u30ef\u30fc\u30af<\/a><\/span>\u4e0a\u306e\u7b49\u65b9\u6027\u30e9\u30f3\u30c0\u30e0\u30a6\u30a9\u30fc\u30af\u306e 3 \u3064\u306e\u5b9f\u73fe
$$ {\\scriptstyle\\ \\mathbb{Z}^2\\ } $$<\/div> (10,000\u6b69\u5358\u4f4d)\u3002\u6700\u5927\u8ddd\u96e2 (\u307e\u305f\u306f\u7d42\u7aef\u8ddd\u96e2) \u306f\u3001\u901a\u5e38 100 \u30b9\u30c6\u30c3\u30d7\u7a0b\u5ea6\u3067\u3059\u3002<\/div><\/div><\/div>

\u6ce8\u610f\u3057\u307e\u3057\u3087\u3046

$$ {\\scriptstyle\\ D_n} $$<\/div> n \u56de<\/i>\u306e\u30e9\u30f3\u30c0\u30e0\u306a\u30b9\u30c6\u30c3\u30d7\u5f8c\u306e\u5e73\u9762\u5185\u306e\u30e9\u30f3\u30c0\u30e0 \u30a6\u30a9\u30fc\u30ab\u30fc\u306e\u4f4d\u7f6e\u3068\u305d\u306e\u958b\u59cb\u70b9\u306e\u9593\u306e\u8ddd\u96e2:
$$ {\\scriptstyle\\ D_n\/\\sqrt{n}} $$<\/div>\u6cd5\u5247\u306f\u30ec\u30a4\u30ea\u30fc\u306e\u6cd5\u5247<\/strong>\u306b\u53ce\u675f\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u8ddd\u96e2n<\/i>\u3092\u30ab\u30d0\u30fc\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u30a6\u30a9\u30fc\u30ab\u30fc\u304c\u958b\u59cb\u70b9\u304b\u3089\u5b9f\u969b\u306b\u96e2\u308c\u308b\u306e\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002
$$ {\\scriptstyle\\ \\sqrt{n}} $$<\/div>\u8fd1\u4f3c\u3067\u306f\u306a\u304f\u3001\u30ec\u30a4\u30ea\u30fc\u306e\u6cd5\u5247\u3078\u306e\u53ce\u675f\u306b\u3088\u308a\u3001\u3053\u306e\u8fd1\u4f3c\u3092\u6307\u5b9a\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/p>

\u30e9\u30f3\u30c0\u30e0\u306a\u30b1\u30a4\u30ea\u30fc\u6728<\/a><\/span>\u306e 2 \u3064\u306e\u30e9\u30f3\u30c0\u30e0\u306a\u70b9\u9593\u306e\u8ddd\u96e2<\/span><\/h3>

Joyal \u306e\u5168\u5358\u5c04<\/a><\/span>\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u8ddd\u96e2\u306e\u6cd5\u5247\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u793a\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002

$$ {\\scriptstyle\\ D_n} $$<\/div>\u30e9\u30f3\u30c0\u30e0\u306a\u30b1\u30a4\u30ea\u30fc\u6728\u306e 2 \u3064\u306e\u30e9\u30f3\u30c0\u30e0\u306a\u70b9\u306e\u9593\u304c\u4e0e\u3048\u3089\u308c\u307e\u3059\u3002
$$ {\\scriptstyle\\ 0\\ \\le\\ k\\ \\le\\ n-1,\\ } $$<\/div>\u306b\u3088\u308b<\/p>
$$ {\\mathbb{P}\\left(D_n=k\\right)\\ = \\ \\frac{(k+1)\\times(n)_{\\downarrow k+1}}{n^{k+2}}.} $$<\/div><\/center>

\u305f\u3068\u3048\u3070\u3001\u30b7\u30a7\u30c3\u30d5\u30a7\u306e\u88dc\u984c<\/a><\/span>\u3092\u4f7f\u7528\u3057\u3066\u3001\u6b21\u306e\u3053\u3068\u3092\u793a\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002

$$ {\\scriptstyle\\ D_n\/\\sqrt{n}} $$<\/div>\u6cd5\u5247\u306f\u30ec\u30a4\u30ea\u30fc\u306e\u6cd5\u5247<\/strong>\u306b\u53ce\u675f\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u30b5\u30a4\u30ban<\/i>\u306e\u30c4\u30ea\u30fc\u306e 2 \u70b9\u9593\u306e\u300c\u5178\u578b\u7684\u306a\u300d\u8ddd\u96e2\u304c\u6b21\u306e\u30aa\u30fc\u30c0\u30fc\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002
$$ {\\scriptstyle\\ \\sqrt{n}.} $$<\/div><\/p>

\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306e\u5faa\u74b0\u30dd\u30a4\u30f3\u30c8<\/span><\/h3>

Joyal \u306e\u5168\u5358\u5c04<\/span>\u306e\u304a\u304b\u3052\u3067\u3001\u305d\u306e\u6570\u306f<\/a><\/span>

$$ {\\scriptstyle\\ C_n(\\omega)\\ } $$<\/div>\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306e\u5faa\u74b0\u30dd\u30a4\u30f3\u30c8\u306e
$$ {\\scriptstyle\\ \\omega\\ } $$<\/div>\u306e
$$ {\\scriptstyle\\ [\\![1,n]\\!]} $$<\/div>\u3067
$$ {\\scriptstyle\\ [\\![1,n]\\!]} $$<\/div> \u3001\u3068\u540c\u3058\u6cd5\u5247\u306b\u5f93\u3044\u307e\u3059\u3002
$$ {\\scriptstyle\\ D_n.\\ } $$<\/div>\u305d\u308c\u3067\u3001
$$ {\\scriptstyle\\ C_n\/\\sqrt{n}} $$<\/div>\u6cd5\u5247\u306f\u30ec\u30a4\u30ea\u30fc\u306e\u6cd5\u5247<\/strong>\u306b\u53ce\u675f\u3057\u307e\u3059\u3002<\/p>

\u8a95\u751f\u65e5\u306e\u554f\u984c<\/span><\/h3>

\u3053\u306e\u614e\u91cd\u306a\u6cd5\u5247\u306f\u3001\u6709\u540d\u306a\u8a95\u751f\u65e5\u554f\u984c<\/span>\u306a\u3069\u306e\u5272\u308a\u5f53\u3066\u554f\u984c (\u30dc\u30fc\u30eb\u3068\u58fa) \u306b\u3082\u73fe\u308c\u307e\u3059\u3002\u7b49\u3057\u3044\u78ba\u7387\u3067\u4e00\u9023<\/a><\/span>\u306e<\/i>\u58fa\u306b\u30dc\u30fc\u30eb\u3092\u9806\u756a\u306b\u5272\u308a\u5f53\u3066\u308b\u3068\u3001\u3053\u308c\u306f\u78ba\u7387\u8ad6\u7684\u306a\u4e16\u754c<\/a><\/span>\u3092\u8003\u616e\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002

$$ {\\scriptstyle\\ \\Omega\\ =\\ [\\![1,n]\\!]^{\\mathbb{N}},\\ } $$<\/div>\u30e9\u30f3\u30af
$$ {\\scriptstyle\\ T_n(\\omega)\\ } $$<\/div>\u7a7a\u3067\u306f\u306a\u3044\u58fa\u306b\u5272\u308a\u5f53\u3066\u3089\u308c\u308b\u6700\u521d\u306e\u30dc\u30fc\u30eb\u306f\u3001\u4ee5\u4e0b\u3068\u540c\u3058\u6cd5\u5247\u306b\u5f93\u3044\u307e\u3059\u3002
$$ {\\scriptstyle\\ 2+D_n.\\ } $$<\/div>\u305d\u308c\u3067\u3001
$$ {\\scriptstyle\\ T_n\/\\sqrt{n}} $$<\/div>\u6cd5\u5247\u306f\u30ec\u30a4\u30ea\u30fc\u306e\u6cd5\u5247<\/strong>\u306b\u53ce\u675f\u3057\u307e\u3059\u3002<\/p>

n=365<\/i> \u3001\u3064\u307e\u308a365 \u500b\u306e\u30dc\u30c3\u30af\u30b9<\/i>\u306e\u5834\u5408\u3001

$$ {\\scriptstyle\\ T_n(\\omega)\\ } $$<\/div>\u306f\u3001\u30b0\u30eb\u30fc\u30d7\u306e\u5c11\u306a\u304f\u3068\u3082 2 \u4eba\u306e\u30e1\u30f3\u30d0\u30fc\u304c\u540c\u3058\u8a95\u751f\u65e5\u3092\u6301\u3064\u53ef\u80fd\u6027\u304c\u9ad8\u304f\u306a\u308b\u30b0\u30eb\u30fc\u30d7\u306e\u30b5\u30a4\u30ba\u3068\u3057\u3066\u89e3\u91c8\u3055\u308c\u307e\u3059 (\u30b5\u30a4\u30ba\u304c\u5f90\u3005\u306b\u5927\u304d\u304f\u306a\u308b\u30b0\u30eb\u30fc\u30d7\u3092\u60f3\u50cf\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059)\u3002
$$ {\\scriptstyle\\ \\alpha\\sqrt{n}\\ } $$<\/div>\u8a95\u751f\u65e5\u306f\u3059\u3079\u3066\u7570\u306a\u308a\u307e\u3059\u304c\u3001\u304a\u3088\u305d<\/p>
$$ {e^{-\\alpha^2\/2}\\ =\\ \\int_{\\alpha}^{+\\infty}\\,f(x;1)\\,dx,} $$<\/div><\/center>

\u3057\u305f\u304c\u3063\u3066\u3001\u7d04 1 \u4eba\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u5834\u5408\u306f 1\/2 \u306e\u4fa1\u5024\u304c\u3042\u308a\u307e\u3059\u3002

$$ {\\scriptstyle\\ \\sqrt{365\\times2\\ln(2)}\\ } $$<\/div> (\u3064\u307e\u308a 22.5) \u4eba\u3001\u307e\u305f\u306f\u7d04 1\/10 \u4eba\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u5834\u5408
$$ {\\scriptstyle\\ \\sqrt{365\\times2\\ln(10)}\\ } $$<\/div> \uff08\u3064\u307e\u308a41\u4eba\uff09\u3053\u306e\u78ba\u7387\u304c 1\/2 (\u305d\u308c\u305e\u308c 1\/10) \u3088\u308a\u5c0f\u3055\u304f\u306a\u308b\u3088\u3046\u306b\u6700\u521d\u306e\u6574\u6570\u3092\u6b63\u78ba\u306b\u8a08\u7b97\u3059\u308b\u3068\u3001\u540c\u3058\u7d50\u679c\u300123 (\u305d\u308c\u305e\u308c 41) \u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>
vdm<\/span> \u200b<\/span><\/span> \u200b<\/span><\/div><\/div>\u78ba\u7387\u306e\u6cd5\u5247<\/span><\/th><\/tr>
\u6709\u9650\u306e\u30b5\u30dd\u30fc\u30c8\u3092\u6301\u3064\u500b\u5225\u6cd5\u5247<\/td>\u30d9\u30eb\u30cc\u30fc\u30a4\u306e\u6cd5\u5247<\/a><\/span>\u2022\u96e2\u6563\u4e00\u69d8\u6cd5\u5247<\/a><\/span>\u2022\u4e8c\u9805\u6cd5\u5247<\/a><\/span>\u2022\u8d85\u5e7e\u4f55\u6cd5\u5247<\/a><\/span>\u2022\u30d9\u30f3\u30d5\u30a9\u30fc\u30c9\u306e\u6cd5\u5247<\/a><\/span><\/td><\/tr>
\u53ef\u7b97\u30b5\u30dd\u30fc\u30c8\u3092\u5099\u3048\u305f\u96e2\u6563\u6cd5\u5247<\/td>\u5e7e\u4f55\u5b66\u6cd5\u5247<\/a><\/span>\u2022\u30dd\u30a2\u30bd\u30f3\u6cd5\u5247<\/a><\/span>\u2022\u8ca0\u306e\u4e8c\u9805\u6cd5\u5247<\/a><\/span>\u2022 \u5bfe\u6570\u6cd5\u5247<\/td><\/tr>
\u30b3\u30f3\u30d1\u30af\u30c8\u306a\u30b5\u30dd\u30fc\u30c8\u306b\u3088\u308b\u7d99\u7d9a\u7684\u306a\u6cd5\u5247<\/td>\u9023\u7d9a\u4e00\u69d8\u5247<\/a><\/span>\u30fb\u4e09\u89d2\u5247\u30fb\u30d9\u30fc\u30bf\u5247<\/a><\/span><\/td><\/tr>
\u534a\u7121\u9650\u306e\u30b5\u30dd\u30fc\u30c8\u3092\u5099\u3048\u305f\u7d99\u7d9a\u7684\u306a\u6cd5\u5247<\/td>\u6307\u6570\u6cd5\u5247<\/a><\/span>\u2022 \u30ac\u30f3\u30de\u306e\u6cd5\u5247 \u2022 \u03c7\u00b2 \u306e\u6cd5\u5247\u2022 \u30d5\u30a3\u30c3\u30b7\u30e3\u30fc\u306e<\/a><\/span>\u6cd5\u5247 \u2022 \u30ef\u30a4\u30d6\u30eb\u306e\u6cd5\u5247 \u2022 \u30ec\u30a4\u30ea\u30fc<\/strong>\u306e\u6cd5\u5247 \u2022 \u30e9\u30a4\u30b9\u306e<\/a><\/span>\u6cd5\u5247 \u2022 \u30a8\u30eb\u30e9\u30f3\u306e\u6cd5\u5247 \u2022 \u30ec\u30f4\u30a3\u306e\u6cd5\u5247 \u2022\u9006\u30ac\u30f3\u30de\u306e\u6cd5\u5247<\/a><\/span>\u2022 \u5bfe\u6570\u6b63\u898f\u306e\u6cd5\u5247<\/td><\/tr>
\u7121\u9650\u306e<\/a><\/span>\u30b5\u30dd\u30fc\u30c8\u306b\u3088\u308b\u7d99\u7d9a\u7684\u306a\u6cd5\u5247<\/td>\u6b63\u898f\u6cd5\u5247<\/a><\/span>\u2022\u975e\u5bfe\u79f0\u6b63\u898f\u6cd5\u5247<\/a><\/span>\u2022\u30b3\u30fc\u30b7\u30fc\u306e\u6cd5\u5247<\/a><\/span>\u2022\u30e9\u30d7\u30e9\u30b9\u306e\u6cd5\u5247<\/a><\/span>\u2022\u30ed\u30b8\u30b9\u30c6\u30a3\u30c3\u30af<\/a><\/span>\u6cd5\u5247 \u2022\u30b9\u30c1\u30e5\u30fc\u30c7\u30f3\u30c8\u6cd5\u5247<\/a><\/span>\u2022 \u5b89\u5b9a\u6cd5\u5247 \u2022 \u30ac\u30f3\u30d9\u30eb\u306e\u6cd5\u5247<\/td><\/tr><\/table><\/div>

\u53c2\u8003\u8cc7\u6599<\/h2>
  1. Distribuci\u00f3 de Rayleigh \u2013 catalan<\/a><\/li>
  2. Rayleigh-Verteilung \u2013 allemand<\/a><\/li>
  3. Rayleigh distribution \u2013 anglais<\/a><\/li>
  4. Distribuci\u00f3n de Rayleigh \u2013 espagnol<\/a><\/li>
  5. \u062a\u0648\u0632\u06cc\u0639 \u0631\u06cc\u0644\u06cc \u2013 persan<\/a><\/li>
  6. \u05d4\u05ea\u05e4\u05dc\u05d2\u05d5\u05ea \u05e8\u05d9\u05d9\u05dc\u05d9 \u2013 h\u00e9breu<\/a><\/li><\/ol><\/div>\n
    \n

    \n \u30ec\u30a4\u30ea\u30fc\u306e\u6cd5\u5247 – \u5b9a\u7fa9\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n
    \n \n
    \n
    \n