Assessing the effect of E-Bayesian inference for Poisson inverse exponential distribution parameters under different loss functions and its application. Issue 17 (2nd September 2022)

• Record Type: Journal Article
• Authors: Pathak, Anurag; Kumar, Manoj; Singh, Sanjay Kumar; Singh, Umesh
• Is Part Of: Communications in statistics. Volume 51:Issue 17(2022)
• Page Start: 5763
• Page End: 5805
• Publication Date: 2022-09-02
• Subjects: E-Bayesian estimation -- Bayesian estimation -- PIED -- PT-II CBRs -- Loss functions; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2020.1847293
• Languages: English
• ISSNs: 0361-0926

Abstract

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.