INFERENCE FOR THE DISTRIBUTION OF A K-UNIT PARALLEL SYSTEM WITH EXPONENTIAL DISTRIBUTION AS THE COMPONENT LIFE DISTRIBUTION BASED ON TYPE-II PROGRESSIVELY CENSORED SAMPLE

被引：0

作者：

Potdar, K. G. ^{[1
]}

Shirke, D. T. ^{[2
]}

机构：

[1] Ajara Mahavidyalaya, Dept Stat, Ajara 416505, India

[2] Shivaji Univ, Dept Stat, Kolhapur 416008, Maharashtra, India

来源：

INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL SCIENCES | 2012年 / 8卷 / 02期

关键词：

Progressively Type-II censoring; EM algorithm; Coverage probability; beta-expectation tolerance interval; MAXIMUM-LIKELIHOOD; PARAMETERS;

D O I：

暂无

中图分类号：

S [农业科学];

学科分类号：

09 ;

摘要：

In this paper we consider a k-unit parallel system having component lifetime distribution to be exponential with scale parameter. Based on progressively Type-II censored sample, the maximum likelihood estimator (MLE) of the scale parameter is derived. EM algorithm is used to obtain MLE. Based on the asymptotic distribution of MLE, asymptotic confidence interval is constructed. Asympbatic confidence interval of the log-transformed MLE is also constructed. In order to compare the performance of the MLE and confidence interval, we conduct extensive simulation study. An approximate beta-expectation tolerance interval is also derived and its performance is studied.

引用

页码：503 / 517

页数：15

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