ON SOME PROPERTIES OF BIVARIATE WEIGHTED DISTRIBUTIONS

被引：17

作者：

ARNOLD, BC

NAGARAJA, HN

机构：

[1] UNIV CALIF RIVERSIDE,DEPT STAT,RIVERSIDE,CA 92521

[2] OHIO STATE UNIV,DEPT STAT,COLUMBUS,OH 43210

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 1991年 / 20卷 / 5-6期

关键词：

WEIGHTED DISTRIBUTION; PARALLEL SYSTEM; RENEWAL PROCESS; MARKOV CHAIN;

D O I：

10.1080/03610929108830602

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(w) and Y(w) be weighted random variables arising, from the distribution of (X,Y). We explore implications of independence of X and Y on the dependence structure of (X(w), Y(w)). We also show that when X and Y are independent and the weight function is symmetric, identical distribution of X(w) and Y(w) implies that of X and Y. We discuss application of these results to the study of a renewal process.

引用

页码：1853 / 1860

页数：8