摘要
研究了服从三参数Ⅰ型广义Logistic分布的独立同分布随机变量序列的规范化最大值的极限分布,在线性赋范规范化常数条件下推导了规范化最大值分布的渐近展开式,得到了规范化最大值分布收敛到其极值类型分布的收敛速度.
In this short note,we discuss the limit distribution of normalized maximum of the independent and identically distributed random variable sequence with 3-parameter type I generalized logistic distribution.With linear normalized constants,the asymptotic expansion of distributions of normalized maximum is established,and the convergence rate of the distribution of normalized maximum to the Gumbel extreme value distribution is derived.
作者
贾璞
刘芯菱
李婷婷
JIA Pu;LIU Xin-ling;LI Ting-ting(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China;School of Mathematics and Information,China West Normal University,Nanchong Sichuan 637002,China)
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2020年第6期60-64,共5页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金项目(11701469)
中央高校基本科研业务费专项资金项目(XDJK2017D136).
关键词
广义Logistic分布
极值分布
渐近展开
收敛速度
generalized logistic distribution
extreme distribution
asymptotic expansion
convergence rate
