Progressive type II censored order statistics from exponential distributions

被引：50

作者：

Balakrishnan, N

Cramer, E ^{[1
]}

Kamps, U

Schenk, N

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON, Canada

[2] Univ Oldenburg, Dept Math, D-26111 Oldenburg, Germany

来源：

STATISTICS | 2001年 / 35卷 / 04期

关键词：

progressive type II censored order statistics; order statistics; exponential distribution; truncated exponential distribution; maximum likelihood estimation; uniformly minimum variance unbiased estimation; best linear unbiased estimation; moments; product moments; recurrence relations;

D O I：

10.1080/02331880108802753

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 the model of progressive type Il censoring, point and interval estimation as well as relations for single and product moments are considered. Based on two-parameter exponential distributions, maximum likelihood estimators (MLEs), uniformly minimum variance unbiased estimators (UMVUEs) and best linear unbiased estimators (BLUEs) are derived for both location and scale parameters. Some properties of these estimators are shown. Moreover, results for single and product moments of progressive type II censored order statistics are presented to obtain recurrence relations from exponential and truncated exponential distributions. These relations may then be used to compute all the means, variances and covariances of progressive type II censored order statistics based on exponential distributions for arbitrary censoring schemes. The presented recurrence relations simplify those given by Aggarwala and Balakrishnan (1996).

引用

页码：537 / 556

页数：20

共 31 条

[1] Recurrence relations for single and product moments of progressive type-II right censored order statistics from exponential and truncated exponential distributions [J].