翻訳と辞書 Words near each other ・ Inverse ratio ventilation ・ Inverse relation ・ Inverse resolution ・ Inverse scattering problem ・ Inverse scattering transform ・ Inverse search ・ Inverse second ・ Inverse semigroup ・ Inverse square root potential ・ Inverse Symbolic Calculator ・ Inverse synthetic aperture radar ・ Inverse system ・ Inverse transform sampling ・ Inverse trigonometric functions ・ Inverse Warburg Effect ・ Inverse-chi-squared distribution ・ Inverse-gamma distribution ・ Inverse-square law ・ Inverse-variance weighting ・ Inverse-Wishart distribution ・ Invershin ・ Invershin railway station ・ Inversija ・ Inversion ・ Inversion (artwork) ・ Inversion (discrete mathematics) ・ Inversion (evolutionary biology) ・ Inversion (geology) ・ Inversion (geometry) ・ Inversion (linguistics) 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 Inverse-chi-squared distribution ： ウィキペディア英語版 Inverse-chi-squared distribution \,x^ e^\!| cdf =$\backslash Gamma\backslash !\backslash left(\backslash frac,\backslash frac\backslash right)$ \bigg/\, \Gamma\!\left(\frac\right)\!| mean =$\backslash frac\backslash !$ for $\backslash nu\; >2\backslash !$| median =| mode =$\backslash frac\backslash !$| variance =$\backslash frac\backslash !$ for $\backslash nu\; >4\backslash !$| skewness =$\backslash frac\backslash sqrt\backslash !$ for $\backslash nu\; >6\backslash !$| kurtosis =$\backslash frac\backslash !$ for $\backslash nu\; >8\backslash !$| entropy =$\backslash frac$ \!+\!\ln\!\left(\frac\Gamma\!\left(\frac\right)\right) $\backslash !-\backslash !\backslash left(1\backslash !+\backslash !\backslash frac\backslash right)\backslash psi\backslash !\backslash left(\backslash frac\backslash right)$| mgf =$\backslash frac)\}$ \left(\frac\right)^} K_}\!\left(\sqrt\right); does not exist as real valued function| char =$\backslash frac)\}$ \left(\frac\right)^} K_}\!\left(\sqrt\right)| }} In probability and statistics, the inverse-chi-squared distribution (or inverted-chi-square distribution〔Bernardo, J.M.; Smith, A.F.M. (1993) ''Bayesian Theory'' ,Wiley (pages 119, 431) ISBN 0-471-49464-X〕) is a continuous probability distribution of a positive-valued random variable. It is closely related to the chi-squared distribution and its specific importance is that it arises in the application of Bayesian inference to the normal distribution, where it can be used as the prior and posterior distribution for an unknown variance. ==Definition== The inverse-chi-squared distribution (or inverted-chi-square distribution〔 ) is the probability distribution of a random variable whose multiplicative inverse (reciprocal) has a chi-squared distribution. It is also often defined as the distribution of a random variable whose reciprocal divided by its degrees of freedom is a chi-squared distribution. That is, if $X$ has the chi-squared distribution with $\backslash nu$ degrees of freedom, then according to the first definition, $1/X$ has the inverse-chi-squared distribution with $\backslash nu$ degrees of freedom; while according to the second definition, $\backslash nu/X$ has the inverse-chi-squared distribution with $\backslash nu$ degrees of freedom. Only the first definition will usually be covered in this article. The first definition yields a probability density function given by :$$ f_1(x; \nu) = \frac\,x^ e^, while the second definition yields the density function :$$ f_2(x; \nu) = \frac x^ e^ . In both cases, $x>0$ and $\backslash nu$ is the degrees of freedom parameter. Further, $\backslash Gamma$ is the gamma function. Both definitions are special cases of the scaled-inverse-chi-squared distribution. For the first definition the variance of the distribution is $\backslash sigma^2=1/\backslash nu\; ,$ while for the second definition $\backslash sigma^2=1$. Differential equation $$ \left\ \Gamma \left(\frac\right)}\right\} $$ \left\}\right)}\right\} 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「Inverse-chi-squared distribution」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.