{"id":14846,"date":"2022-02-03T06:00:00","date_gmt":"2022-02-02T21:00:00","guid":{"rendered":"https:\/\/www.muscle-hypertrophy.com\/?p=14846"},"modified":"2022-01-26T19:33:55","modified_gmt":"2022-01-26T10:33:55","slug":"%e4%b8%bb%e3%81%aa%e7%a2%ba%e7%8e%87%e5%88%86%e5%b8%83%e3%81%ae%e6%9c%9f%e5%be%85%e5%80%a4%e3%81%a8%e5%88%86%e6%95%a3","status":"publish","type":"post","link":"https:\/\/www.muscle-hypertrophy.com\/?p=14846","title":{"rendered":"\u4e3b\u306a\u78ba\u7387\u5206\u5e03\u306e\u671f\u5f85\u5024\u3068\u5206\u6563"},"content":{"rendered":"\n<p>\u3000\u96e2\u6563\u578b\u78ba\u7387\u5206\u5e03\u3068\u3057\u3066\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\uff0c\u4e8c\u9805\u5206\u5e03\uff0c\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\uff0c\u5e7e\u4f55\u5206\u5e03\u304c\u3042\u308b\uff0e\u9023\u7d9a\u578b\u78ba\u7387\u5206\u5e03\u3068\u3057\u3066\u4e00\u69d8\u5206\u5e03\uff0c\u6b63\u898f\u5206\u5e03\uff0c\u6307\u6570\u5206\u5e03\u304c\u3042\u308b\uff0e\u305d\u308c\u3089\u306e\u671f\u5f85\u5024\u3068\u5206\u6563\u3092\u793a\u3059\uff0e<\/p>\n<p><!--more--><\/p>\n<h2>\u96e2\u6563\u578b\u78ba\u7387\u5206\u5e03<\/h2>\n<h3>\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03<\/h3>\n<p>\u3000\u304f\u308a\u304b\u3048\u3057\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u3066\u5947\u6570\u304c\u51fa\u308b\u304b\u3069\u3046\u304b\u3092\u8abf\u3079\u308b\u5834\u5408\uff0c\u7d50\u679c\u306f\u8a66\u884c\u3054\u3068\u306b\u5076\u7136\u306b\u6c7a\u307e\u308b\uff0e\u7d50\u679c\u306e\u8d77\u3053\u308b\u78ba\u7387\u306f\u4e00\u5b9a\u3067\uff0c\u5404\u8a66\u884c\u7d50\u679c\u306f\u4e92\u3044\u306b\u72ec\u7acb\u3067\u3042\u308b\u8a66\u884c\u3092\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u3068\u3044\u3046\uff0e\u7d50\u679c\u306f2\u7a2e\u985e\u3067\u6210\u529f\u3092 1, \u5931\u6557\u3092 0 \u3068\u3057\uff0c\u6210\u529f\u78ba\u7387\u3092 p \u3068\u3059\u308b\uff0e1\u56de\u306e\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u3067\u5f97\u3089\u308c\u308b\u7d50\u679c\u306e\u78ba\u7387\u5206\u5e03\u3092\u7279\u306b\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\u3068\u3044\u3046\uff0e\u305d\u306e\u78ba\u7387\u95a2\u6570\u306f\u6b21\u306e\u901a\u308a\u3067\u3042\u308b\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=P%28X%3D1%29%3Df%281%29%3Dp%2C+P%28X%3D0%29%3Df%280%29%3D1-p%2C+0+%5Cleq+p+%5Cleq+1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='P(X=1)=f(1)=p, P(X=0)=f(0)=1-p, 0 \\leq p \\leq 1' title='P(X=1)=f(1)=p, P(X=0)=f(0)=1-p, 0 \\leq p \\leq 1' class='latex' \/><\/p>\n<p>\u3000\u671f\u5f85\u5024\u3068\u5206\u6563\u306f\u6b21\u306e\u901a\u308a\u3067\u3042\u308b\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cmu+%3D+E%5BX%5D+%3D+p+%5C%5C+%5Csigma%5E2+%3D+V%5BX%5D+%3D+p%281-p%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\\mu = E[X] = p \\\\ \\sigma^2 = V[X] = p(1-p)' title='\\mu = E[X] = p \\\\ \\sigma^2 = V[X] = p(1-p)' class='latex' \/><\/p>\n<h3>\u4e8c\u9805\u5206\u5e03<\/h3>\n<p>\u3000\u6210\u529f\u78ba\u7387 p \u306e n \u56de\u306e\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u3092\u884c\u3046\u3068\u304d\uff0c\u6210\u529f\u306e\u56de\u6570\u304c x, \u5931\u6557\u56de\u6570\u304c n-x \u306e\u78ba\u7387\u95a2\u6570\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=P%28X%3Dx%29+%3D+f%28x%29+%3D+%7B%7D_nC_x+p%5Ex+%281-p%29%5E%7Bn-x%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='P(X=x) = f(x) = {}_nC_x p^x (1-p)^{n-x}' title='P(X=x) = f(x) = {}_nC_x p^x (1-p)^{n-x}' class='latex' \/><\/p>\n<p>\u3000\u3053\u306e\u78ba\u7387\u5206\u5e03\u3092\u4e8c\u9805\u5206\u5e03\u3068\u3044\u3044\uff0cB(n, p) \u3068\u8868\u73fe\u3059\u308b\uff0e\u4e8c\u9805\u5206\u5e03\u306e\u671f\u5f85\u5024\u3068\u5206\u6563\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=E%5BX%5D+%3D+np+%5C%5C+V%5BX%5D+%3D+np%281-p%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='E[X] = np \\\\ V[X] = np(1-p)' title='E[X] = np \\\\ V[X] = np(1-p)' class='latex' \/><\/p>\n<h3>\u30dd\u30a2\u30bd\u30f3\u5206\u5e03<\/h3>\n<p>\u3000\u4e8c\u9805\u5206\u5e03 B(n, p) \u306b\u304a\u3044\u3066\u671f\u5f85\u5024 np = \u03bb \u3092\u56fa\u5b9a\u3057\uff0c\u8a66\u884c\u56de\u6570 n \u3092\u7121\u9650\u5927\uff0c\u6210\u529f\u78ba\u7387 p \u3092 0 \u306b\u6975\u3081\u3066\u8fd1\u3044\u5024\u306b\u3059\u308b\u3088\u3046\u306a\u78ba\u7387\u5206\u5e03\u3092\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u3068\u3044\u3046\uff0e\u307e\u308c\u306b\u8d77\u304d\u308b\u73fe\u8c61\u3068\u3057\u3066\u4ea4\u901a\u4e8b\u6545\u306e\u4ef6\u6570\uff0c\u5b89\u5b9a\u3057\u305f\u88fd\u9020\u30e9\u30a4\u30f3\u3067\u306e\u6545\u969c\u4ef6\u6570\u306a\u3069\u306e\u78ba\u7387\u30e2\u30c7\u30eb\u3068\u3057\u3066\u7528\u3044\u3089\u308c\u308b\uff0e\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306e\u78ba\u7387\u95a2\u6570\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=P%28X%3Dx%29+%3D+f%28x%29+%3D+e%5E%7B-%5Clambda%7D%5Clambda%5Ex%2Fx%21+%28x%3D0%2C1%2C2%2C...%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='P(X=x) = f(x) = e^{-\\lambda}\\lambda^x\/x! (x=0,1,2,...)' title='P(X=x) = f(x) = e^{-\\lambda}\\lambda^x\/x! (x=0,1,2,...)' class='latex' \/><\/p>\n<p>\u3000\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306e\u671f\u5f85\u5024\u3068\u5206\u6563\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=E%5BX%5D%3DV%5BX%5D%3D%5Clambda+%3D+np&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='E[X]=V[X]=\\lambda = np' title='E[X]=V[X]=\\lambda = np' class='latex' \/><\/p>\n<h3>\u5e7e\u4f55\u5206\u5e03<\/h3>\n<p>\u3000\u6210\u529f\u78ba\u7387\u304c p \u3067\u3042\u308b\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u3092\uff0c\u521d\u3081\u3066\u6210\u529f\u3059\u308b\u307e\u3067\u7e70\u308a\u8fd4\u3059\u3068\u304d\u306e\u8a66\u884c\u56de\u6570 X \u306e\u78ba\u7387\u5206\u5e03\u3092\u5e7e\u4f55\u5206\u5e03\u3068\u3044\u3046\uff0e\u521d\u3081\u3066\u6210\u529f\u3059\u308b\u306e\u304c x \u56de\u76ee\u3068\u3059\u308b\u3068\u305d\u308c\u307e\u3067\u306e x-1 \u56de\u306f\u5931\u6557\u306a\u306e\u3067\uff0c\u78ba\u7387\u95a2\u6570\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=P%28X%3Dx%29+%3D+f%28x%29+%3D+p%281-p%29%5E%7Bx-1%7D+%28x%3D1%2C2%2C...%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='P(X=x) = f(x) = p(1-p)^{x-1} (x=1,2,...)' title='P(X=x) = f(x) = p(1-p)^{x-1} (x=1,2,...)' class='latex' \/><\/p>\n<p>\u3000\u5e7e\u4f55\u5206\u5e03\u306e\u671f\u5f85\u5024\u3068\u5206\u6563\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=E%5BX%5D+%3D+%5Cfrac%7B1%7D%7Bp%7D+%5C%5C+V%5BX%5D+%3D+%5Cfrac%7B1-p%7D%7Bp%5E2%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='E[X] = \\frac{1}{p} \\\\ V[X] = \\frac{1-p}{p^2}' title='E[X] = \\frac{1}{p} \\\\ V[X] = \\frac{1-p}{p^2}' class='latex' \/><\/p>\n<h2>\u9023\u7d9a\u578b\u78ba\u7387\u5206\u5e03<\/h2>\n<h3>\u4e00\u69d8\u5206\u5e03<\/h3>\n<p>\u3000\u533a\u9593 [a, b] \u5185\u306e\u3069\u306e\u5024\u3082\u540c\u3058\u8d77\u3053\u308a\u3084\u3059\u3055\u3092\u6301\u3064\u5206\u5e03\u3092\u4e00\u69d8\u5206\u5e03\u3068\u3044\u3046\uff0e\u4e00\u69d8\u5206\u5e03\u306e\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\uff0e<\/p>\n<p>\u3000\u4e00\u69d8\u5206\u5e03\u306e\u671f\u5f85\u5024\u3068\u5206\u6563\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=E%5BX%5D+%3D+%5Cfrac%7Ba%2Bb%7D%7B2%7D+%5C%5C+V%5BX%5D+%3D+%5Cfrac%7B%28b-a%29%5E2%7D%7B12%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='E[X] = \\frac{a+b}{2} \\\\ V[X] = \\frac{(b-a)^2}{12}' title='E[X] = \\frac{a+b}{2} \\\\ V[X] = \\frac{(b-a)^2}{12}' class='latex' \/><\/p>\n<h3>\u6b63\u898f\u5206\u5e03<\/h3>\n<p>\u3000\u671f\u5f85\u5024 \u03bc, \u5206\u6563 \u03c3<sup>2<\/sup>\u00a0\u306e\u6b63\u898f\u5206\u5e03\u306e\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=f%28x%29+%3D+%5Cfrac%7B1%7D%7B%5Csqrt%7B2%5Cpi%5Csigma%5E2%7D%7D%5Cexp%5B-%5Cfrac%7B%28x-%5Cmu%29%5E2%7D%7B2%5Csigma%5E2%7D%5D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='f(x) = \\frac{1}{\\sqrt{2\\pi\\sigma^2}}\\exp[-\\frac{(x-\\mu)^2}{2\\sigma^2}]' title='f(x) = \\frac{1}{\\sqrt{2\\pi\\sigma^2}}\\exp[-\\frac{(x-\\mu)^2}{2\\sigma^2}]' class='latex' \/><\/p>\n<h3>\u6307\u6570\u5206\u5e03<\/h3>\n<p>\u3000\u30e9\u30f3\u30c0\u30e0\u306a\u73fe\u8c61\u306b\u5bfe\u3057\u3066\u521d\u3081\u3066\u8d77\u3053\u308b\u307e\u3067\u306e\u5f85\u3061\u6642\u9593\u306e\u5206\u5e03\u3092\u8003\u3048\u308b\u3068\u304d\uff0c\u5f85\u3061\u6642\u9593 W \u306e\u53d6\u308a\u3046\u308b\u5024\u306f\u975e\u8ca0\u306e\u5b9f\u6570\u3067\u3042\u308a\uff0c\u3042\u308b\u00a0 <img src='https:\/\/s0.wp.com\/latex.php?latex=t+%5Cgeq+0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='t \\geq 0' title='t \\geq 0' class='latex' \/> \u306b\u5bfe\u3057\u3066 <img src='https:\/\/s0.wp.com\/latex.php?latex=W+%5Cleq+t+&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='W \\leq t ' title='W \\leq t ' class='latex' \/> \u3067\u3042\u308b\u78ba\u7387\uff0c\u3064\u307e\u308a W \u306e\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=F%28t%29+%3D+1+-+e%5E%7B-%5Clambda+t%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='F(t) = 1 - e^{-\\lambda t}' title='F(t) = 1 - e^{-\\lambda t}' class='latex' \/><\/p>\n<p>\u3000\u03bb\u306f\u5358\u4f4d\u6642\u9593\u306b\u304a\u3051\u308b\u751f\u8d77\u56de\u6570\u306e\u671f\u5f85\u5024\u3068\u3059\u308b\uff0e\u4e0a\u8a18\u306e\u5f0f\u3092 t \u3067\u5fae\u5206\u3059\u308b\u3068\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\u304c\u6b21\u306e\u3088\u3046\u306b\u5f97\u3089\u308c\u308b\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=f%28t%29+%3D+%5Clambda+e%5E%7B-%5Clambda+t%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='f(t) = \\lambda e^{-\\lambda t}' title='f(t) = \\lambda e^{-\\lambda t}' class='latex' \/><\/p>\n<p>\u3000\u6307\u6570\u5206\u5e03\u306e\u671f\u5f85\u5024\u3068\u5206\u6563\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=E%5BW%5D+%3D+%5Cfrac%7B1%7D%7B%5Clambda%7D+%5C%5C+V%5BW%5D+%3D+%5Cfrac%7B1%7D%7B%5Clambda%5E2%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='E[W] = \\frac{1}{\\lambda} \\\\ V[W] = \\frac{1}{\\lambda^2}' title='E[W] = \\frac{1}{\\lambda} \\\\ V[W] = \\frac{1}{\\lambda^2}' class='latex' \/><\/p>\n<p>\u3000\u6307\u6570\u5206\u5e03\u306f\u751f\u7269\u7d71\u8a08\u5b66\u306b\u304a\u3051\u308b\u751f\u5b58\u671f\u9593\uff0c\u4fe1\u983c\u6027\u5de5\u5b66\u306b\u304a\u3051\u308b\u6545\u969c\u3059\u308b\u307e\u3067\u306e\u5bff\u547d\u306a\u3069\u306e\u57fa\u672c\u7684\u306a\u30e2\u30c7\u30eb\u3068\u3057\u3066\u7528\u3044\u3089\u308c\u308b\uff0e<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3000\u96e2\u6563\u578b\u78ba\u7387\u5206\u5e03\u3068\u3057\u3066\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\uff0c\u4e8c\u9805\u5206\u5e03\uff0c\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\uff0c\u5e7e\u4f55\u5206\u5e03\u304c\u3042\u308b\uff0e\u9023\u7d9a\u578b\u78ba\u7387\u5206\u5e03\u3068\u3057\u3066\u4e00\u69d8\u5206\u5e03\uff0c\u6b63\u898f\u5206\u5e03\uff0c\u6307\u6570\u5206\u5e03\u304c\u3042\u308b\uff0e\u305d\u308c\u3089\u306e\u671f\u5f85\u5024\u3068\u5206\u6563\u3092\u793a\u3059\uff0e<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[11316,11317,11309,11321,11311,11328,11320,11314,11310,11326,11336,11319,256,5237,11331,5372,11330,11337,11312,11333,11322,11323,11315,6055,11327,683,3704,9096,843,11335,11334,11332,1274,11306,9093,11324,11307,11318,11325,11313,11308,11329],"class_list":["post-14846","post","type-post","status-publish","format-standard","hentry","category-technology","tag-11316","tag-11317","tag-11309","tag-11321","tag-11311","tag-11328","tag-11320","tag-11314","tag-11310","tag-11326","tag-11336","tag-11319","tag-256","tag-5237","tag-11331","tag-5372","tag-11330","tag-11337","tag-11312","tag-11333","tag-11322","tag-11323","tag-11315","tag-6055","tag-11327","tag-683","tag-3704","tag-9096","tag-843","tag-11335","tag-11334","tag-11332","tag-1274","tag-11306","tag-9093","tag-11324","tag-11307","tag-11318","tag-11325","tag-11313","tag-11308","tag-11329"],"_links":{"self":[{"href":"https:\/\/www.muscle-hypertrophy.com\/index.php?rest_route=\/wp\/v2\/posts\/14846","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.muscle-hypertrophy.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.muscle-hypertrophy.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.muscle-hypertrophy.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.muscle-hypertrophy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=14846"}],"version-history":[{"count":47,"href":"https:\/\/www.muscle-hypertrophy.com\/index.php?rest_route=\/wp\/v2\/posts\/14846\/revisions"}],"predecessor-version":[{"id":14893,"href":"https:\/\/www.muscle-hypertrophy.com\/index.php?rest_route=\/wp\/v2\/posts\/14846\/revisions\/14893"}],"wp:attachment":[{"href":"https:\/\/www.muscle-hypertrophy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14846"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.muscle-hypertrophy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14846"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.muscle-hypertrophy.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14846"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}