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Objective Bayesian analysis of Pareto distribution under progressive Type-II censoring

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  • Fu, Jiayu
  • Xu, Ancha
  • Tang, Yincai

Abstract

In this paper, objective Bayesian analysis of Pareto distributions under progressive Type-II censoring is considered. Three types of noninformative priors (Jeffreys prior, two reference priors and two general forms of second order probability matching prior) are given. We show that one of the reference priors is also the second order probability matching prior (PMP). However, this reference prior, as well as the Jeffreys prior and PMPs, are related to the censoring scheme of life tests. Thus the other reference prior is preferred, and the proprieties of the posterior are discussed based on it. The simulation shows that the second reference prior leads to the required frequentist property. A real data from Crowley and Hu (1977) is analyzed for the purpose of illustration.

Suggested Citation

  • Fu, Jiayu & Xu, Ancha & Tang, Yincai, 2012. "Objective Bayesian analysis of Pareto distribution under progressive Type-II censoring," Statistics & Probability Letters, Elsevier, vol. 82(10), pages 1829-1836.
    • Handle: RePEc:eee:stapro:v:82:y:2012:i:10:p:1829-1836
    DOI: 10.1016/j.spl.2012.06.007
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    References listed on IDEAS

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    1. N. Balakrishnan, 2007. "Progressive censoring methodology: an appraisal," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 211-259, August.
    2. N. Balakrishnan, 2007. "Rejoinder on: Progressive censoring methodology: an appraisal," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 290-296, August.
    3. Chansoo Kim & Jinhyouk Jung & Younshik Chung, 2011. "Bayesian estimation for the exponentiated Weibull model under Type II progressive censoring," Statistical Papers, Springer, vol. 52(1), pages 53-70, February.
    4. Zeinab Amin, 2008. "Bayesian inference for the Pareto lifetime model under progressive censoring with binomial removals," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(11), pages 1203-1217.
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    Cited by:

    1. Xinjing Wang & Wenhao Gui, 2021. "Bayesian Estimation of Entropy for Burr Type XII Distribution under Progressive Type-II Censored Data," Mathematics, MDPI, vol. 9(4), pages 1-19, February.
    2. Ferreira, Paulo H. & Ramos, Eduardo & Ramos, Pedro L. & Gonzales, Jhon F.B. & Tomazella, Vera L.D. & Ehlers, Ricardo S. & Silva, Eveliny B. & Louzada, Francisco, 2020. "Objective Bayesian analysis for the Lomax distribution," Statistics & Probability Letters, Elsevier, vol. 159(C).

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