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

Author

Listed:
  • Rani Kumari
  • Yogesh Mani Tripathi
  • Liang Wang
  • Rajesh Kumar Sinha

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.

Suggested Citation

  • Rani Kumari & Yogesh Mani Tripathi & Liang Wang & Rajesh Kumar Sinha, 2025. "Reliability inference for a family of inverted exponentiated distributions under block progressive Type II censoring," Journal of Risk and Reliability, , vol. 239(3), pages 596-608, June.
    • Handle: RePEc:sae:risrel:v:239:y:2025:i:3:p:596-608
    DOI: 10.1177/1748006X241247866
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    References listed on IDEAS

    as
    1. Long-Hao Xu & Kai-Tai Fang & Ping He, 2022. "Properties and generation of representative points of the exponential distribution," Statistical Papers, Springer, vol. 63(1), pages 197-223, February.
    2. Kumari, Rani & Tripathi, Yogesh Mani & Sinha, Rajesh Kumar & Wang, Liang, 2023. "Reliability estimation for bathtub-shaped distribution under block progressive censoring," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 213(C), pages 237-260.
    3. Refah Alotaibi & Mazen Nassar & Hoda Rezk & Ahmed Elshahhat, 2022. "Inferences and Engineering Applications of Alpha Power Weibull Distribution Using Progressive Type-II Censoring," Mathematics, MDPI, vol. 10(16), pages 1-21, August.
    4. Essam A. Ahmed, 2014. "Bayesian estimation based on progressive Type-II censoring from two-parameter bathtub-shaped lifetime model: an Markov chain Monte Carlo approach," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(4), pages 752-768, April.
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