翻訳と辞書 Words near each other ・ Exponential search ・ Exponential sheaf sequence ・ Exponential smoothing ・ Exponential stability ・ Exponential sum ・ Exponential Technology ・ Exponential time hypothesis ・ Exponential tree ・ Exponential type ・ Exponential utility ・ Exponential-Golomb coding ・ Exponential-logarithmic distribution ・ Exponentially closed field ・ Exponentially equivalent measures ・ Exponentially modified Gaussian distribution ・ Exponentiated Weibull distribution ・ Exponentiation ・ Exponentiation by squaring ・ Exponerad ・ Exponát roku 1827 ・ Expoobident ・ ExpoRail ・ Exporo ・ EXPORT ・ Export ・ Export (cigarette) ・ Export (disambiguation) ・ Export Administration Act of 1979 ・ Export Administration Regulations ・ Export and Industry Bank 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 Exponentiated Weibull distribution ： ウィキペディア英語版 Exponentiated Weibull distribution In statistics, the exponentiated Weibull family of probability distributions was introduced by Mudholkar and Srivastava (1993) as an extension of the Weibull family obtained by adding a second shape parameter. The cumulative distribution function for the exponentiated Weibull distribution is :$F(x;k,\backslash lambda;\; \backslash alpha)\; =\; \backslash left(1-\; e^\; \backslash right)^\backslash alpha\; \backslash ,$ for ''x'' > 0, and ''F''(''x''; ''k''; λ; ''α'') = 0 for ''x'' < 0. Here ''k'' > 0 is the first ''shape parameter'', α > 0 is the second shape parameter and λ > 0 is the ''scale parameter'' of the distribution. The density is :$f(x;k,\backslash lambda;\; \backslash alpha)\; =$ \alpha \frac \left()^ \left(e^ \right )^ e^ \, There are two important special cases: * ''α'' = 1 gives the Weibull distribution; * ''k'' = 1 gives the exponentiated exponential distribution. ==Background== The family of distributions accommodates unimodal, bathtub shaped *〔(【引用サイトリンク】title=System evolution and reliability of systems )〕 and monotone failure rates. A similar distribution was introduced in 1984 by Zacks, called a Weibull-exponential distribution (Zacks 1984). Crevecoeur introduced it in assessing the reliability of ageing mechanical devices and showed that it accommodates bathtub shaped failure rates (1993, 1994). Mudholkar, Srivastava, and Kollia (1996) applied the generalized Weibull distribution to model survival data. They showed that the distribution has increasing, decreasing, bathtub, and unimodal hazard functions. Mudholkar, Srivastava, and Freimer (1995), Mudholkar and Hutson (1996) and Nassar and Eissa (2003) studied various properties of the exponentiated Weibull distribution. Mudholkar et al. (1995) applied the exponentiated Weibull distribution to model failure data. Mudholkar and Hutson (1996) applied the exponentiated Weibull distribution to extreme value data. They showed that the exponentiated Weibull distribution has increasing, decreasing, bathtub, and unimodal hazard rates. The exponentiated exponential distribution proposed by Gupta and Kundu (1999, 2001) is a special case of the exponentiated Weibull family. Later, the moments of the EW distribution were derived by Choudhury (2005). Also, M. Pal, M.M. Ali, J. Woo (2006) studied the EW distribution and compared it with the two-parameter Weibull and gamma distributions with respect to failure rate. 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「Exponentiated Weibull 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.