SOME RESULTS ON MAXIMUM-LIKELIHOOD ESTIMATORS OF PARAMETERS OF EXPONENTIAL-DISTRIBUTION UNDER TYPE-I PROGRESSIVE CENSORING WITH CHANGING FAILURE RATES

被引：5

作者：

PATEL, MN

GAJJAR, AV

机构：

[1] R G SHAH SCI COLL,DEPT STAT,AHMEDABAD 7,GUJARAT,INDIA

[2] GUJARAT UNIV,DEPT STAT,AHMEDABAD 9,GUJARAT,INDIA

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 1995年 / 24卷 / 09期

关键词：

CENSORED SAMPLES; PROGRESSIVE CENSORING; RELATIVE BIAS; EXACT VARIANCE; MEAN SQUARE ERROR; EXPONENTIAL DISTRIBUTION; EXPECTED WAITING TIME;

D O I：

10.1080/03610929508831624

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 the study of relative bias (RB), exact variance and mean square error (MSE) of the maximum likelihood estimators of the exponential distribution under type I progressive censoring with changing failure rates is considered. A minimum mean square error (MMSE) estimator for the parameter at each stage is proposed. The numerical evalution of their relative performance is made for selected values of n and p. Further results concerning group-censoring, total expected waiting time and optimal spacings of the times of censoring are derived and results obtained by Kendell and Anderson (1971) are deduced as special cases.

引用

页码：2421 / 2435

页数：15

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