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An Optimal Bayesian Sampling Plan for Two-Parameter Exponential Distribution Under Type-I Hybrid Censoring

Lookup NU author(s): Dr Kiran Prajapat

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Abstract

The Bayesian sampling plan for two-parameter exponential distribution has been considered by Lam (Statistician, 39, 53–66, 1990) under the conventional Type-II censoring. Lin et al. (Commun. Stat.—Simul. Comput., 37, 1101–1116, 2008b) have obtained an exact Bayesian sampling plan for one-parameter exponential distribution under Type-I and Type-II hybrid censoring schemes. In this paper, we obtain an optimal Bayesian sampling plan for the two-parameter exponential distribution under Type-I hybrid censoring scheme based on a four-parameter conjugate prior, introduced by Varde (J. Am. Stat. Assoc., 64, 621–631 1969). Bayes risk expressions of Lam (Statistician, 39, 53–66, 1990) for the conventional Type-II censoring scheme can be obtained as special cases of the Type-I hybrid censoring scheme. The optimal Bayesian sampling plan cannot be obtained analytically, we provide a numerical algorithm to compute the optimal Bayesian sampling plan. Different optimal Bayesian sampling plans have been reported.

Publication metadata

Author(s): Prajapat K, Koley A, Mitra S, Kundu D

Publication type: Article

Publication status: Published

Journal: Sankhya A

Year: 2023

Volume: 85

Pages: 512-539

Print publication date: 01/02/2023

Online publication date: 03/11/2021

Acceptance date: 31/08/2021

ISSN (print): 0976-836X

ISSN (electronic): 0976-8378

Publisher: Springer

URL: https://doi.org/10.1007/s13171-021-00263-2

DOI: 10.1007/s13171-021-00263-2

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