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Bayesian inference for the Pareto lifetime model under progressive censoring with binomial removals

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  • Zeinab Amin

Abstract

This paper considers the estimation and prediction problems when lifetimes are Pareto-distributed and are collected under Type II progressive censoring with random removals, where the number of units removed at each failure time follows a Binomial distribution. The analysis is carried out within the Bayesian context.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:japsta:v:35:y:2008:i:11:p:1203-1217
    DOI: 10.1080/09537280802187634
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    References listed on IDEAS

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    1. Siu Keung Tse & Chunyan Yang & Hak-Keung Yuen, 2000. "Statistical analysis of Weibull distributed lifetime data under Type II progressive censoring with binomial removals," Journal of Applied Statistics, Taylor & Francis Journals, vol. 27(8), pages 1033-1043.
    2. Arnold, Barry C. & Press, S. James, 1983. "Bayesian inference for pareto populations," Journal of Econometrics, Elsevier, vol. 21(3), pages 287-306, April.
    3. Carl M. Harris, 1968. "The Pareto Distribution as a Queue Service Discipline," Operations Research, INFORMS, vol. 16(2), pages 307-313, April.
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    Cited by:

    1. 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.
    2. M. El-Din & A. Shafay, 2013. "One- and two-sample Bayesian prediction intervals based on progressively Type-II censored data," Statistical Papers, Springer, vol. 54(2), pages 287-307, May.
    3. Nanami Taketomi & Kazuki Yamamoto & Christophe Chesneau & Takeshi Emura, 2022. "Parametric Distributions for Survival and Reliability Analyses, a Review and Historical Sketch," Mathematics, MDPI, vol. 10(20), pages 1-23, October.
    4. Amal S. Hassan & E. A. Elsherpieny & Rokaya E. Mohamed, 2023. "Classical and Bayesian Estimation of Entropy for Pareto Distribution in Presence of Outliers with Application," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(1), pages 707-740, February.

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