文章基本信息

标题：Distribution of the Maximum and Minimum of a Random Number of Bounded Random Variables
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作者：Jie Hao ; Anant Godbole
期刊名称：Open Journal of Statistics
印刷版ISSN：2161-718X
电子版ISSN：2161-7198
出版年度：2016
卷号：06
期号：02
页码：274-285
DOI：10.4236/ojs.2016.62023
语种：English
出版社：Scientific Research Publishing
摘要：We study a new family of random variables that each arise as the distribution of the maximum or minimum of a random number N of i.i.d. random variables X1, X2,…, XN, each distributed as a variable X with support on [0, 1]. The general scheme is first outlined, and several special cases are studied in detail. Wherever appropriate, we find estimates of the parameter θ in the one-parameter family in question.
关键词：Maximum and Minimum;Random Number of i.i.d. Variables;Statistical Inference