Development of Preliminary Test Estimators and Preliminary Test Confidence Intervals for Measures of Reliability of Kumaraswamy-G Distributions Based on Progressive Type-II Censoring

被引：0

作者：

Chaturvedi, Ajit ^{[1
]}

Bhatnagar, Anshika ^{[1
]}

机构：

[1] Univ Delhi, Dept Stat, Delhi 110007, India

来源：

JOURNAL OF STATISTICAL THEORY AND PRACTICE | 2020年 / 14卷 / 03期

关键词：

Kumaraswamy-G distribution; Preliminary test estimators; Progressive type-II censoring; Uniformly minimum variance unbiased estimators; Maximum likelihood estimators; RIDGE-REGRESSION ESTIMATORS; P(Y-LESS-THAN-X); PERFORMANCE; PARAMETER; LESS;

D O I：

10.1007/s42519-020-00119-2

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：

Classical estimators and preliminary test estimators (PTEs) of the powers of model parameter and the two measures of reliability, namelyR( t) = P(X > t) and P = P(X > Y) of Kumaraswamy-G distribution, are developed under progressive type-II censoring. The preliminary test confidence intervals (PTCIs) are also developed based on uniformly minimum variance unbiased estimators (UMVUEs) and maximum likelihood estimators (MLEs). Merits of PTEs and PTCIs are established. Simulation results are presented, and real-life data set is also analysed.

引用

页数：28

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