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.
作者
常帅
CHANG Shuai(School of Mathematics and Statistics,Taiyuan Normal University,Jinzhong Shanxi 030619,China)
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)。
关键词
扩展分布
极值分布
最大值吸引域
规范化常数
extended distributions
extreme value distribution
maximum domain of attraction
norming constants
