A Precautionary Loss-based Bayesian Algorithm for Zero Failure Analysis of Exponential Model

Author:

Zhang Fan,Liu Yongjing,Luo Laijun

Abstract

Abstract The aim of this paper is to study the Bayesian reliability analysis of the exponential distribution under a precautionary loss function based on zero failure data. In the Bayesian algorithm, the prior distribution of the parameter is assumed to be Gamma distribution. Bayesian and E-Bayesian estimators of the failure rate and reliability of exponential model are obtained under the precautionary loss function. Finally, a practical example is utilized to validate the effectiveness and robustness of the proposed estimators.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

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