PLANNING STEP-STRESS LIFE TESTS FOR THE GENERALIZED RAYLEIGH DISTRIBUTION UNDER PROGRESSIVE TYPE-II CENSORING WITH BINOMIAL REMOVALS

被引：12

作者：

Ismail, Ali A. ^{[1
]}

机构：

[1] Cairo Univ, Fac Econ & Polit Sci, Dept Stat, Giza 12613, Egypt

来源：

STRENGTH OF MATERIALS | 2017年 / 49卷 / 02期

关键词：

statistical inference; optimum test plan; step-stress; maximum likelihood; generalized Rayleigh distribution; random removals; EXPONENTIAL-DISTRIBUTION; DISTRIBUTION PARAMETERS; LOGNORMAL-DISTRIBUTION; WEIBULL DISTRIBUTION; ACCELERATION FACTOR; INTERVAL ESTIMATION; BAYESIAN-ESTIMATION; PARETO DISTRIBUTION; OPTIMAL-DESIGN; TEST MODEL;

D O I：

10.1007/s11223-017-9869-1

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

In this article both the parameter estimation and optimal design problems of step-stress partially accelerated life test units whose lifetimes follow the generalized Rayleigh distribution are considered under progressive type-II censoring scheme with binomial removals. The maximum likelihood estimators of the scale and shape parameters as well as the acceleration factor are obtained. The concert of the estimators is assessed. In addition, approximate confidence intervals of the model parameters are constructed and their coverage probabilities are computed. Moreover, optimum test plans are also developed to improve/guarantee the quality of the statistical inference. Finally, simulation studies and a numerical example are provided for illustrative purposes.

引用

页码：292 / 306

页数：15

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