Open AccessA Precautionary Loss-based Bayesian Algorithm for Zero Failure Analysis of Exponential Model
Author(s) -
Fan Zhang,
Yongjing Liu,
Laijun Luo
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1325/1/012116
Subject(s) - bayesian probability , estimator , robustness (evolution) , exponential function , exponential distribution , gamma distribution , bayes estimator , prior probability , computer science , mathematics , algorithm , statistics , mathematical analysis , biochemistry , chemistry , gene
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.