文章基本信息

标题：Statistical Inference for the Reliability Functions of a Family of Lifetime Distributions based on Progressive Type II Right Censoring
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作者：Ajit Chaturvedi ; Narendra Kumar ; Kapil Kumar 等
期刊名称：Statistica
印刷版ISSN：1973-2201
出版年度：2018
卷号：78
期号：1
页码：81-101
DOI：10.6092/issn.1973-2201/7494
语种：English
出版社：Dep. of Statistical Sciences "Paolo Fortunati", Università di Bologna
摘要：In this article, a general family of lifetime distributions is considered under progressive type II right censoring. The classical point estimation and testing procedures are developed for reliability function and stress-strength reliability. The uniformly minimum variance unbiased, maximum likelihood and invariantly optimal estimators are considered. Testing procedures are developed for the hypotheses related to scale parameter, reliability and stress-strength reliability functions. A Monte Carlo simulation study is performed for comparison of various estimators developed. Finally, the use of proposed estimators is shown in an illustrative example.
其他关键词：Progressive type II right censoring;Uniformly minimum variance unbiased estimation;Maximum likelihood estimation;Invariantly optimal estimator;Testing procedures