Regressions for sums of squares of spacings

被引：1

作者：

Kirmani, S ^{[1
]}

Wesolowski, J

机构：

[1] Univ No Iowa, Dept Math, Cedar Falls, IA 50614 USA

[2] Warsaw Univ Sci & Technol, Wydzial Matemat & Nauk Informacyjnych, PL-00661 Warsaw, Poland

来源：

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS | 2005年 / 57卷 / 01期

关键词：

sum of squares of spacings; regression characterizations; mixtures; beta distribution; Weibull distribution; order statistics; record values;

D O I：

10.1007/BF02506877

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：

Starting with a new formula for the regression of sum of squares of spacings (SSS) with respect to the maximum we present a characterization of a family of beta type mixtures in terms of the constancy of regression of normalized SSS of order statistics. Related characterization for records describes a family of minima of independent Weibull distributions.

引用

页码：39 / 47

页数：9

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