Bayesian Statistical Analysis of Lifetime Performance Index of Exponential Product Under Precautionary Loss Function

2019 International Conference on Advanced Electronic Materials, Computers and Materials Engineering

无线电电子学;计算机科学;材料科学

Chen, Zhaoren^1 ; Liu, Wanzhen^2

College of Information Science and Enginering, Hunan Normal University, Changsha, Hunan

410081, China^1

Changsha Vocational and Technical College, Changsha, Hunan

410010, China^2

关键词: Bayesian estimations;    Bayesian estimators;    Exponential distributions;    Life performance;    Lifetime performance index;    Precautionary loss functions;    Prior distribution;    Testing procedure;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/563/4/042021/pdf
DOI  :  10.1088/1757-899X/563/4/042021

来源: IOP

【 摘 要 】

The purpose of this paper is to study the Bayesian estimation of life performance index when product's life obeys exponential distribution based on complete samples. The Bayesian estimator of the life performance index is obtained when the prior distribution of the unknown parameter is the Gama prior distribution and the loss function used in this paper is the precautionary loss function. Furthermore, a new Bayesian testing procedure is developed using the obtained Bayesian estimator. Finally, a practical example is used to illustrate the effectiveness and feasibility of the results.