[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/12468#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/12468","headline":"Hyperexponential\u5206\u5e03-Wikipedia","name":"Hyperexponential\u5206\u5e03-Wikipedia","description":"before-content-x4 \u5f15\u3063\u5f35\u3089\u308c\u305f – \u30a2\u30a6\u30c8\u3001\u9752\u3044\u7dda\u306f\u3001\u4f8b\u306e\u4f8b\u3092\u4f7f\u7528\u3057\u3066\u904e\u8ef8\u306e\u5206\u5e03\u306e\u78ba\u7387\u5bc6\u5ea6\u3092\u793a\u3057\u3066\u3044\u307e\u3059 \u521d\u3081 = 0.9\u3001p 2 = 0.1\u3001\u03bb \u521d\u3081 = 1\u304a\u3088\u3073\u03bb 2 = 20\u3002 \u904e\u71b1\u5206\u5e03 \u4e00\u5b9a\u306e\u78ba\u7387\u5206\u5e03\u3067\u3059\u3002 \u3044\u304f\u3064\u304b\u306e\u6307\u6570\u5206\u5e03\u3092\u91cd\u8907\u3055\u305b\u308b\u3053\u3068\u306f\u9bae\u660e\u306b\u8a71\u3055\u308c\u3066\u3044\u307e\u3059\u3002 after-content-x4","datePublished":"2020-07-14","dateModified":"2020-07-14","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/4\/47\/Hyperexponential_distribution_example.jpg\/300px-Hyperexponential_distribution_example.jpg","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/4\/47\/Hyperexponential_distribution_example.jpg\/300px-Hyperexponential_distribution_example.jpg","height":"210","width":"300"},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/12468","wordCount":4363,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4 \u5f15\u3063\u5f35\u3089\u308c\u305f – \u30a2\u30a6\u30c8\u3001\u9752\u3044\u7dda\u306f\u3001\u4f8b\u306e\u4f8b\u3092\u4f7f\u7528\u3057\u3066\u904e\u8ef8\u306e\u5206\u5e03\u306e\u78ba\u7387\u5bc6\u5ea6\u3092\u793a\u3057\u3066\u3044\u307e\u3059 \u521d\u3081 = 0.9\u3001p 2 = 0.1\u3001\u03bb \u521d\u3081 = 1\u304a\u3088\u3073\u03bb 2 = 20\u3002  \u904e\u71b1\u5206\u5e03 \u4e00\u5b9a\u306e\u78ba\u7387\u5206\u5e03\u3067\u3059\u3002\u3044\u304f\u3064\u304b\u306e\u6307\u6570\u5206\u5e03\u3092\u91cd\u8907\u3055\u305b\u308b\u3053\u3068\u306f\u9bae\u660e\u306b\u8a71\u3055\u308c\u3066\u3044\u307e\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u306a\u308c \u3068 i{displaystyle y_ {i}} \uff08\u3068        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u79c1 = \u521d\u3081 \u3001 … \u3001 n {displaystyle i = 1\u3001dotsc\u3001n} \uff09\u5206\u5272\u6255\u3044\u4ed8\u304d\u306e\u72ec\u7acb\u3057\u305f\u6307\u6570\u5206\u6563\u30e9\u30f3\u30c0\u30e0\u5909\u6570 l i{displaystyle lambda _ {i}} \u305d\u3057\u3066\u3001 p i{displaystyle p_ {i}} \u5408\u8a081\u304c\u7d50\u679c\u3092\u3082\u305f\u3089\u3059\u78ba\u7387\u3002\u6b21\u306b\u3001\u30e9\u30f3\u30c0\u30e0\u5909\u6570\u304c\u547c\u3073\u51fa\u3055\u308c\u307e\u3059 \u30d0\u30c4 {displaystyle x} \u6b21\u306e\u78ba\u7387\u5bc6\u5ea6\u304c\u3042\u308b\u5834\u5408\u3001Hyperexponence\u304c\u5206\u5e03\u3057\u3066\u3044\u307e\u3059\u3002 [\u521d\u3081]        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4fX\uff08 \u30d0\u30c4 \uff09\uff09 = \u2211i=1NpifYi\uff08 \u30d0\u30c4 \uff09\uff09 = {\u2211i=1Npi\u03bbie\u2212\u03bbixx\u22650,0x1{displaystyle lambda _ {1}} \uff09\u30a4\u30f3\u30bf\u30fc\u30cd\u30c3\u30c8\u30c6\u30ec\u30d5\u30a9\u30cb\u30fc\u307e\u305f\u306f\uff08\u78ba\u7387\u3067 Q {displaystyle q} \u305d\u3057\u3066\u30a2\u30c9\u30d0\u30a4\u30b9 l 2{displaystyle lambda _ {2}} \uff09\u30d5\u30a1\u30a4\u30eb\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8\u306f\u5b9f\u884c\u3055\u308c\u307e\u3059 p + Q = \u521d\u3081 {displaystyle p+q = 1} \u3002\u5168\u4f53\u7684\u306a\u8ca0\u8377\u306f\u3001\u8d85\u9ad8\u6fc3\u5ea6\u5206\u5e03\u306b\u306a\u308a\u307e\u3059\u3002 \u672b\u7aef\u304c\u591a\u3044\u5206\u5e03\u3092\u542b\u3080\u7279\u5b9a\u306e\u78ba\u7387\u5206\u5e03\u306f\u3001\u518d\u5e30\u7684\u306b\u7570\u306a\u308b\u6642\u9593\u30b9\u30b1\u30fc\u30eb\u306b\u3088\u3063\u3066\u904e\u5270\u62e1\u5f35\u67f1\u306e\u5206\u5e03\u306b\u3088\u3063\u3066\u8fd1\u4f3c\u3067\u304d\u307e\u3059\uff08 l i{displaystyle lambda _ {i}} \uff09\u3044\u308f\u3086\u308bProny\u30e1\u30bd\u30c3\u30c9\u3092\u4f7f\u7528\u3057\u3066\u96c7\u7528\u3067\u304d\u307e\u3059\u3002 [2] \u7a4d\u5206\u7d50\u679c\u306e\u76f4\u7dda\u6027\uff1a \u3068 \u2061 [ \u30d0\u30c4 ] = \u222b\u2212\u221e\u221e\u30d0\u30c4 f \uff08 \u30d0\u30c4 \uff09\uff09 d \u30d0\u30c4 = \u2211i=1Npi\u222b0\u221e\u30d0\u30c4 \u03bbie\u2212\u03bbixd \u30d0\u30c4 = \u2211i=1Npi\u03bbi{displaystyle operatorname {e} [x] = int _ { –  infty}^{infty} xf\uff08x\uff09\u3001dx = sum _ {i = 1}^{n} p_ {i} int _ {0}^{infty} xlambda _ {i} e} e^{{{ –  { –  { –  { –  { –  { –  { –  { –  { –  { –  { –  { –  {-i} i = 1}^{n} {frac {p_ {i}} {lambda _ {i}}}}} \u3068 \u3068 \u2061 [X2]= \u222b\u2212\u221e\u221ex2f \uff08 \u30d0\u30c4 \uff09\uff09 d \u30d0\u30c4 = \u2211i=1Npi\u222b0\u221ex2\u03bbie\u2212\u03bbixd \u30d0\u30c4 = \u2211i=1N2\u03bbi2pi\u3002 {displaystyle operatorname {e}\u5de6[x^{2}\u53f3] = int _ { –  infty}^{infty} x^{2} f\uff08x\uff09\u3001dx = sum _ {i = 1}^{n} p_ {i} int _ {0}^{fambda _ {2 _ {2 _ {{2 _ {{2 _ {{2 _ {{2 _ a _ {i} x}\u3001dx = sum _ {i = 1}^{n} {frac {2} {lambda _ {i}^{2}}} p_ {i};\u3002};}; \u30b7\u30d5\u30c8\u30bb\u30c3\u30c8\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u3001\u5206\u6563\u306f\u6b21\u306e\u3082\u306e\u304b\u3089\u751f\u3058\u307e\u3059\u3002 [3] \u3060\u3063\u305f \u2061 [ \u30d0\u30c4 ] = \u3068 \u2061 [X2] –  \u3068 \u2061 [X]2= \u2211i=1N2\u03bbi2pi –  [\u2211i=1Npi\u03bbi]2= [\u2211i=1Npi\u03bbi]2+ \u2211i=1N\u2211j=1Npipj(1\u03bbi\u22121\u03bbj)2\u3002 {displaystyle operatorname {var} [x] = operatorname {e}\u5de6[x^{2}\u53f3] -operatorname {e} left [xright]^{2} = sum _ {i = 1}^{n} {frac {2}} {sum _ {i} {p_} {p_} {{2}} _ {i = 1}^{n} {frac {p_ {i}} {lambda _ {i}}}\u53f3]^{2} =\u5de6[sum _ {i = 1}^{n} {frac {p_ {i}}} {sum} {i i}}}} }^{n} sum _ {j = 1}^{n} p_ {i} p_ {j} left\uff08{frac {1} {lambda _ {i}}}}  –  {frac {1} {lambda _ {j}}}} {2}}; \u3059\u3079\u3066\u3067\u306f\u306a\u3044\u306b\u3057\u3066\u3082 l i{displaystyle lambda _ {i}} \u540c\u3058\u30b5\u30a4\u30ba\u306f\u3001\u671f\u5f85\u5024\u3088\u308a\u3082\u5927\u304d\u3044\u6a19\u6e96\u504f\u5dee\u3067\u3059\u3002 \u77ac\u9593 – \u751f\u6210\u95a2\u6570\u306f\u3067\u3059 \u3068 \u2061 [etX]= \u222b\u2212\u221e\u221eetxf \uff08 \u30d0\u30c4 \uff09\uff09 d \u30d0\u30c4 = \u2211i=1Npi\u222b0\u221eetx\u03bbie\u2212\u03bbixd \u30d0\u30c4 = \u2211i=1N\u03bbi\u03bbi\u2212tpi\u3002 {displaystyle operatorname {E} left[e^{tX}right]=int _{-infty }^{infty }e^{tx}f(x),dx=sum _{i=1}^{N}p_{i}int _{0}^{infty }e^{tx}lambda _{i}e^{-lambda _{i}x},dx=sum _{i=1}^{N}{frac {lambda _{i}}{lambda _{i}-t}}p_{i};.} \u2191  L. N.\u30b7\u30f3\u3001G\u3002R\u3002\u30c0\u30c3\u30bf\u30c8\u30ec\u30e4\uff1a \u30bb\u30f3\u30b5\u30fc\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3067\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3092\u4f7f\u7528\u3057\u305fHyperexponence\u5bc6\u5ea6\u306e\u63a8\u5b9a \u3002\u306e\uff1a \u5206\u6563\u30bb\u30f3\u30b5\u30fc\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u56fd\u969b\u30b8\u30e3\u30fc\u30ca\u30eb \u3002 3\u5e74\u76ee \u3044\u3044\u3048\u3002  3 \u30012007\u5e74\u3001 S.  311 \u3001doi\uff1a 10.1080\/15501320701259925 \u3002   \u2191  A.\u30d5\u30a7\u30eb\u30c9\u30de\u30f3\u3001W\u3002\u30db\u30a4\u30c3\u30c8\uff1a \u6307\u6570\u306e\u6df7\u5408\u7269\u3092\u9577\u5c3e\u5206\u5e03\u306b\u9069\u5408\u3055\u305b\u308b\u305f\u3081\u306b\u3001\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u30e2\u30c7\u30eb\u3092\u5206\u6790\u3059\u308b \u3002\u306e\uff1a \u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u8a55\u4fa1 \u3002 31\u5e74\u3001 \u3044\u3044\u3048\u3002  3\u20134 \u30011998\u3001 S.  245 \u3001doi\uff1a 10.1016\/S0166-5316\uff0897\uff0900003-5 \uff08 Columbia.edu [PDF]\uff09\u3002   \u2191  H. T.\u30d1\u30d1\u30c9\u30dd\u30ed\u30b9\u3001C\u3002\u30d8\u30a4\u30d3\u30fc\u3001J\u3002\u30d6\u30e9\u30a6\u30f3\uff1a \u88fd\u9020\u30b7\u30b9\u30c6\u30e0\u5206\u6790\u3068\u8a2d\u8a08\u306b\u304a\u3051\u308b\u30ad\u30e5\u30fc\u30a4\u30f3\u30b0\u7406\u8ad6 \u3002 Springs\u30011993\u3001ISBN 978-0-412-38720-3\u3001 S.  35 \uff08 Google COM \uff09\u3002   \u96e2\u6563\u5358\u5909\u91cf\u5206\u5e03 \u9023\u7d9a\u5358\u5909\u91cf\u5206\u5e03 \u591a\u5909\u91cf\u5206\u5e03       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/12468#breadcrumbitem","name":"Hyperexponential\u5206\u5e03-Wikipedia"}}]}]