ORDER-STATISTICS FROM NONIDENTICAL POWER FUNCTION RANDOM-VARIABLES

被引：9

作者：

BALAKRISHNAN, N

BALASUBRAMANIAN, K

机构：

[1] INDIAN STAT INST,DELHI CTR,NEW DELHI 110016,INDIA

[2] MCMASTER UNIV,DEPT MATH & STAT,HAMILTON,ON L8S 4K1,CANADA

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 1995年 / 24卷 / 06期

基金：

加拿大自然科学与工程研究理事会;

关键词：

ORDER STATISTICS; POWER FUNCTION DISTRIBUTION; MULTIPLE-OUTLIER MODEL; RECURRENCE RELATIONS; SINGLE MOMENTS; PRODUCT MOMENTS; PERMANENTS; TRUNCATED POWER FUNCTION DISTRIBUTION;

D O I：

10.1080/03610929508831564

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 derive some recurrence relations satisfied by the single and the product moments of order statistics arising from n independent and non-identically distributed power function random variables. These recurrence relations will enable one to compute all the single and the product moments of all order statistics in a simple recursive manner. The results for the multiple-outlier model are deduced as special cases. The results are further generalized to the case of truncated power function random variables.

引用

页码：1443 / 1454

页数：12

共 8 条

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