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  • 标题:Statistical Inference for the Reliability Functions of a Family of Lifetime Distributions based on Progressive Type II Right Censoring
  • 本地全文:下载
  • 作者:Ajit Chaturvedi ; Narendra Kumar ; Kapil Kumar
  • 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
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