翻訳と辞書 Words near each other ・ Cumpănița River ・ Cumpănița River (Argeș) ・ Cumpănița River (Topolog) ・ Cumpărata Mare River ・ Cumpărata Mică River ・ Cumrew ・ Cumro, Nebraska ・ Cumru Township, Berks County, Pennsylvania ・ Cumrun Vafa ・ CUMS ・ Cumshewa ・ Cumshewa Inlet ・ Cumshewa, British Columbia ・ Cumston Hall ・ Cumul des mandats ・ Cumulant ・ Cumular Limit ・ Cumulate rock ・ Cumulative density function ・ Cumulative distribution function ・ Cumulative dose ・ Cumulative effects (environment) ・ Cumulative elevation gain ・ Cumulative extremism ・ Cumulative flow diagram ・ Cumulative frequency ・ Cumulative frequency analysis ・ Cumulative gain ・ Cumulative hierarchy ・ Cumulative incidence Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Cumulant ： ウィキペディア英語版 Cumulant In probability theory and statistics, the cumulants of a probability distribution are a set of quantities that provide an alternative to the moments of the distribution. The moments determine the cumulants in the sense that any two probability distributions whose moments are identical will have identical cumulants as well, and similarly the cumulants determine the moments. In some cases theoretical treatments of problems in terms of cumulants are simpler than those using moments. Just as for moments, where ''joint moments'' are used for collections of random variables, it is possible to define ''joint cumulants''. ==Definition== The cumulants of a random variable are defined via the cumulant-generating function , which is the natural logarithm of the moment-generating function: :$K(t)=\backslash log\backslash mathbb\backslash !\backslash left().$ The cumulants are obtained from a power series expansion of the cumulant generating function: :$K(t)=\backslash sum\_^\backslash infty\; \backslash kappa\_\; \backslash frac.$ This expansion is a Maclaurin series, so that th cumulant can be obtained by differentiating the above expansion times and evaluating the result at zero:〔Weisstein, Eric W. "Cumulant". From MathWorld – A Wolfram Web Resource. http://mathworld.wolfram.com/Cumulant.html〕 :$\backslash kappa\_\; =\; K^(0).$ If the moment-generating function does not exist, the cumulants can be defined in terms of the relationship between cumulants and moments discussed later. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Cumulant」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.