Some characterizations involving uniform and powers of uniform random variables

被引：9

作者：

Arnold, Barry C. ^{[1
]}

Castillo, Enrique ^{[2
]}

Maria Sarabia, Jose ^{[3
]}

机构：

[1] Univ Calif Riverside, Dept Stat, Riverside, CA 92521 USA

[2] Univ Cantabria, Dept Appl Math & Computat Sci, E-39005 Santander, Spain

[3] Univ Cantabria, Dept Econ, E-39005 Santander, Spain

来源：

STATISTICS | 2008年 / 42卷 / 06期

关键词：

power function; Pareto; characterization; maxima and minima; positive Linnik distribution;

D O I：

10.1080/02331880801987836

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This paper deals with some problems of characterization involving uniform random variables. Twelve different cases are dealt with. It is shown that some cases have no solution, others lead to trivial solutions and finally, the rest lead to non-trivial solutions. The cases are also analyzed when the uniform distribution assumption is replaced by the power function or the Pareto assumptions.

引用

页码：527 / 534

页数：8

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