二参数的条件指数型威布尔分布的最大值吸引场  

Maximum Domain of Attraction of the Ttwo-parameter Conditional Exponential-Weibull Distribution

作　　者：王存蔓 李秀敏[1] 蔡霞[1] WANG Cun-man;LI Xiu-min;CAI Xia(School of Sciences,Hebei University of Science and Technology,Shijiazhuang 050018,China)

机构地区：[1]河北科技大学理学院,河北石家庄050018

出　　处：《数学的实践与认识》2019年第1期276-281,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11501162);河北省自然科学基金资助项目(A2018208058);河北省教育厅项目(QN2018077;BJ2016021)

摘　　要：对二参数Exponential-Weibull的条件分布的最大值吸引场类型进行了研究.首先判断了Exponential-Weibull的条件分布的最大值吸引场类型,并给出了此分布的最大值吸引场条件下的规范化常数的表达式,最后通过数值模拟,检验了规范化常数的准确性,这为研究最大值吸引场的其它性质奠定基础,也是进行最大值吸引场条件下的估计的前提.In this paper, the maximum domain of attraction of the two-parameter conditional Exponential-Weibull distribution is studied. The conditional Exponential-Weibul distribution is confirmed and proven to belong to the maximum domain of attraction of the Gumbel distribution, and the expressions of the corresponding normalizing constants are derived. Numerical simulations are conducted to investigate the performance of the proposed normalizing constants. This lays the foundation for studying the other properties of the maximum domain of attraction, and is also the premise for estimating the maximum domain of attraction.

关 键 词：Exponential-Weibull分布 最大值吸引场 极值分布 规范化常数 

分 类 号：O21[理学—概率论与数理统计]