四类扩展分布的最大值吸引域  

Maximum Domain of Attraction of Four Kinds of Extended Distributions

作　　者：常帅 CHANG Shuai(School of Mathematics and Statistics,Taiyuan Normal University,Jinzhong Shanxi 030619,China)

机构地区：[1]太原师范学院数学与统计学院,山西晋中030619

出　　处：《太原师范学院学报（自然科学版）》2024年第2期8-12,共5页Journal of Taiyuan Normal University:Natural Science Edition

基　　金：国家自然科学基金(12001395)。

摘　　要：针对文献中出现的四类扩展分布:Marshall-Olkin扩展分布、Alpha Power扩展分布、Kumaraswamy扩展分布与Beta扩展分布,研究了它们的最大值吸引域.在给定原分布所属最大值吸引域的情况下,通过选取适当的规范化常数,得到此四类扩展分布的最大值吸引域.The maximum domain of attraction from four kinds of extended distributions which are Marshall-Olkin extended distribution,Alpha Power extended distribution,Kumaraswamy ex-tended distribution and Beta extended distribution in the literature is studied.Given the maximum do-main of attraction for the original distribution,the maximum domain of attraction for the four kinds of extended distributions can be obtained by selecting appropriate normalized constants.

关 键 词：扩展分布 极值分布 最大值吸引域 规范化常数 

分 类 号：O211.3[理学—概率论与数理统计]