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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Wakeby distribution ： ウィキペディア英語版 Wakeby distribution The Wakeby distribution is a five-parameter probability distribution defined by the transformation :$X\; =\backslash xi\; +\; \backslash frac\; (1\; -\; (1-U)^)\; -\; \backslash frac\; (1\; -\; (1-U)^)$ where U is a standard uniform random variable. That is, the above equation defines the quantile function for the Wakeby distribution.〔(【引用サイトリンク】title=Dataplot reference manual: WAKPDF )〕 The parameters β, γ and δ are shape parameters. The parameters ξ and α are location parameters. The Wakeby distribution has been used for modelling flood flows. This distribution was first proposed by Harold A. Thomas Jr., who named it after Wakeby Pond in Cape Cod. The following restrictions apply to the parameters of this distribution: * $\backslash beta\; +\; \backslash delta\; \backslash ge\; 0$ * Either $\backslash beta\; +\; \backslash delta\; >\; 0$ or $\backslash beta\; =\; \backslash gamma\; =\; \backslash delta\; =\; 0$ * If $\backslash gamma\; >\; 0$, then $\backslash delta\; >\; 0$ * $\backslash gamma\; \backslash ge\; 0$ * $\backslash alpha\; +\; \backslash gamma\; \backslash ge\; 0$ The domain of the Wakeby distribution is * $\backslash xi$ to $\backslash infty$, if $\backslash delta\; \backslash ge\; 0$ and $\backslash gamma\; >\; 0$ * $\backslash xi$ to $\backslash xi\; +\; (\backslash alpha/\; \backslash beta)\; -\; (\backslash gamma/\; \backslash delta)$, if or $\backslash gamma\; =\; 0$ With three shape parameters, the Wakeby distribution can model a wide variety of shapes. The cumulative distribution function is computed by numerically inverting the quantile function given above. The probability density function is then found by using the following relation (given on page 46 of Johnson, Kotz, and Balakrishnan): :$f(x)\; =\; \backslash frac$ where F is the cumulative distribution function and :$t\; =\; (1\; -\; F(x))^$ An implementation that computes the probability density function of the Wakeby distribution is included in the Dataplot scientific computation library, as routine WAKPDF.〔 == See also == * Generalized Pareto distribution 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「Wakeby 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.