On the computing of the moments of bivariate order statistics

被引：3

作者：

Barakat, HM

El-Shandidy, MA

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Stat, Jeddah 21589, Saudi Arabia

[2] Univ Alexandria, Fac Sci, Dept Math, Alexandria, Egypt

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2005年 / 134卷 / 01期

关键词：

bivariate order statistics; moments of order statistics; recurrence relations;

D O I：

10.1016/j.jspi.2004.02.011

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：

In this paper, we establish general recurrence relations satisfied by the product moments (of any order) of bivariate order statistics from any arbitrary bivariate uniform distribution function. Moreover, we present formulae to easily compute the product moments (of any order) of bivariate order statistics from any arbitrary bivariate distribution function, with positive left endpoints, or with negative right endpoints. (c) 2004 Elsevier B.V. All fights reserved.

引用

页码：15 / 25

页数：11

共 11 条

[1]

Arnold B. C., 1998, A First Course in Order Statistics

[2] ORDER-STATISTICS FROM NONIDENTICAL EXPONENTIAL RANDOM-VARIABLES AND SOME APPLICATIONS [J].