Reliability inference for a family of inverted exponentiated distributions under block progressive Type II censoring

Rani Kumari, Yogesh Mani Tripathi, Liang Wang and Rajesh Kumar Sinha

Journal of Risk and Reliability, 2025, vol. 239, issue 3, 596-608

Abstract: In this article, estimation of survival characteristics is discussed when life tests are performed against different test facilities using block progressive Type-II censoring. Under the assumption that the lifetimes of test units follow a family of inverted exponentiated distributions, estimates are derived under classical and hierarchical Bayesian frameworks when the differences in different test facilities are taken into consideration. Maximum likelihood estimators are obtained and their existence and uniqueness properties are also established. In addition, Bayes estimators are provided under a hierarchical framework, and a hybrid Metropolis-Hastings sampling procedure is proposed for complex posterior computation. The performance of all the proposed approaches is compared via extensive simulation studies and two real-life data are analyzed for illustration. From numerical results we observe that the hierarchical approach provides relatively better estimates for model parameters.

Keywords: Block censoring; difference in different test facilities; hierarchical model; inverted exponentiated exponential distribution; progressive Type-II censoring; survival characteristics (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:sae:risrel:v:239:y:2025:i:3:p:596-608

DOI: 10.1177/1748006X241247866

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