Statistical Inference for the Reliability Functions of a Family of Lifetime Distributions based on Progressive Type II Right Censoring

Ajit Chaturvedi (), Narendra Kumar () and Kapil Kumar ()
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Ajit Chaturvedi: University of Delhi - India
Narendra Kumar: University of Delhi - India
Kapil Kumar: Central University of Haryana - India

Statistica, 2018, vol. 78, issue 1, 81-101

Abstract: 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.

Keywords: Progressive type II right censoring; Uniformly minimum variance unbiased estimation; Maximum likelihood estimation; Invariantly optimal estimator; Testing procedures (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:bot:rivsta:v:78:y:2018:i:1:p:81-101

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