Characterizations of probability distributions via bivariate regression of generalized order statistics

被引：0

作者：

Kotb, M. S. ^{[1
]}

Ahsanullah, M. ^{[2
]}

机构：

[1] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt

[2] Rider Univ, Dept Management Sci, Lawrenceville, NJ 08648 USA

来源：

JOURNAL OF STATISTICAL THEORY AND APPLICATIONS | 2013年 / 12卷 / 04期

关键词：

Generalized order statistics; Characterization; Regression function; Order statistics; Record values;

D O I：

10.2991/jsta.2013.12.4.1

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：

Let X-i,X-n,(m,k,) i = 1 ,..., n are n generalized order statistics (gos) based on an absolutely continuous distribution function F. Suppose that phi(x) is an absolutely continuous and monotonically increasing function in (a, b), - infinity <= a < b <= infinity, with finite phi(a(+)), phi(b(-)) and E(phi(X)). We give characterization of distributions based on the regression of linear combinations of gos. Using our results can obtain characterizations of some distributions.

引用

页码：321 / 329

页数：9

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