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Assessing the effect of E-Bayesian inference for Poisson inverse exponential distribution parameters under different loss functions and its application

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  • Anurag Pathak
  • Manoj Kumar
  • Sanjay Kumar Singh
  • Umesh Singh

Abstract

This paper present E-Bayesian and Bayesian estimators of parameters of Poisson inverse exponential distribution (PIED) under Squared error loss function (SELF), General entropy loss function (GELF) and Linear Exponential loss function (LINEX) for progressive type-II censored data with binomial removals (PT-II CBRs). The E-Bayesian and corresponding Bayesian estimators are compared in terms of their risks based on simulated samples from PIED. The proposed methodology is applied to survival time of multiple myeloma patients data.

Suggested Citation

  • Anurag Pathak & Manoj Kumar & Sanjay Kumar Singh & Umesh Singh, 2022. "Assessing the effect of E-Bayesian inference for Poisson inverse exponential distribution parameters under different loss functions and its application," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(17), pages 5763-5805, September.
    • Handle: RePEc:taf:lstaxx:v:51:y:2022:i:17:p:5763-5805
    DOI: 10.1080/03610926.2020.1847293
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    Cited by:

    1. Weihua Shi & Wenhao Gui, 2024. "Reliability analysis of bathtub-shaped distribution using empirical Bayesian and E-Bayesian estimations under progressive Type-II censoring," Journal of Risk and Reliability, , vol. 238(3), pages 604-621, June.

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