翻訳と辞書 Words near each other ・ Shift work (disambiguation) ・ Shift work sleep disorder ・ Shift-and-add ・ Shift-invariant system ・ Shift-Minus Vol. 1 ・ Shift-reduce parser ・ Shift-share analysis ・ Shift-Work (album) ・ Shifta ・ Shifta War ・ Shiftability theory ・ Shiftboard ・ SHIFTCOR ・ Shifted force method ・ Shifted Gompertz distribution ・ Shifted log-logistic distribution ・ Shiftee ・ Shifter ・ Shifter (bicycle part) ・ Shifters ・ Shiftgig ・ Shifting (linguistics) ・ Shifting balance theory ・ Shifting baseline ・ Shifting Baselines ・ Shifting bottleneck heuristic ・ Shifting burden of persuasion ・ Shifting City ・ Shifting cultivation ・ Shifting dullness 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 Shifted log-logistic distribution ： ウィキペディア英語版 Shifted log-logistic distribution where $z=(x-\backslash mu)/\backslash sigma\backslash ,$| cdf =$\backslash left(1+(1\; +\; \backslash xi\; z)^\backslash right)^\; \backslash ,$ where $z=(x-\backslash mu)/\backslash sigma\backslash ,$| mean =$\backslash mu\; +\; \backslash frac(\backslash alpha\; \backslash csc(\backslash alpha)-1)$ where $\backslash alpha=\; \backslash pi\; \backslash xi\backslash ,$| median =$\backslash mu\; \backslash ,$| mode =$\backslash mu\; +\; \backslash frac\backslash left(-\; 1\; \backslash right)$| variance =$\backslash frac(\backslash csc(2\; \backslash alpha)\; -\; (\backslash alpha\; \backslash csc(\backslash alpha))^2)$ where $\backslash alpha=\; \backslash pi\; \backslash xi\backslash ,$| skewness =| kurtosis =| entropy =| mgf =| char =| }} The shifted log-logistic distribution is a probability distribution also known as the generalized log-logistic or the three-parameter log-logistic distribution.〔 〕〔 〕 It has also been called the generalized logistic distribution, but this conflicts with other uses of the term: see generalized logistic distribution. ==Definition== The shifted log-logistic distribution can be obtained from the log-logistic distribution by addition of a shift parameter $\backslash delta$. Thus if $X$ has a log-logistic distribution then $X+\backslash delta$ has a shifted log-logistic distribution. So $Y$ has a shifted log-logistic distribution if $\backslash log(Y-\backslash delta)$ has a logistic distribution. The shift parameter adds a location parameter to the scale and shape parameters of the (unshifted) log-logistic. The properties of this distribution are straightforward to derive from those of the log-logistic distribution. However, an alternative parameterisation, similar to that used for the generalized Pareto distribution and the generalized extreme value distribution, gives more interpretable parameters and also aids their estimation. In this parameterisation, the cumulative distribution function of the shifted log-logistic distribution is : $F(x;\; \backslash mu,\backslash sigma,\backslash xi)\; =\; \backslash frac\backslash right)^\}$ for $1\; +\; \backslash xi(x-\backslash mu)/\backslash sigma\; \backslash geqslant\; 0$, where $\backslash mu\backslash in\backslash mathbb\; R$ is the location parameter, $\backslash sigma>0\backslash ,$ the scale parameter and $\backslash xi\backslash in\backslash mathbb\; R$ the shape parameter. Note that some references use $\backslash kappa\; =\; -\; \backslash xi\backslash ,\backslash !$ to parameterise the shape.〔〔 The probability density function is :$f(x;\; \backslash mu,\backslash sigma,\backslash xi)\; =\; \backslash frac\backslash right)^\}$ \right)^\right )^2}, again, for $1\; +\; \backslash xi(x-\backslash mu)/\backslash sigma\; \backslash geqslant\; 0.$ The shape parameter $\backslash xi$ is often restricted to lie in (), when the probability density function is bounded. When $|\backslash xi|>1$, it has an asymptote at $x\; =\; \backslash mu\; -\; \backslash sigma/\backslash xi$. Reversing the sign of $\backslash xi$ reflects the pdf and the cdf about $x=\backslash mu.$. 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「Shifted log-logistic 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.