Assessing the lifetime performance index of Rayleigh products based on the Bayesian estimation under progressive type II right censored samples

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Lee, Wen-Chuan²  Wu, Jong-Wuu¹  Hong, Mei-Ling¹  Lin, Liang-Sian¹  Chan, Ruei-Ling¹ 

[1] Natl Chiayi Univ, Dept Appl Math, Chiayi 60004, Taiwan

[2] Chang Jung Christian Univ, Dept Int Business, Tainan 71101, Taiwan

关键词: Progressive type II right censored sample;    Bayes estimator;    Rayleigh distribution;    Credible interval;    Monte Carlo simulation;    Bayesian test;   

DOI  :  10.1016/j.cam.2010.09.009

来源: Elsevier

【 摘 要 】

Lifetime performance assessment is important in service (or manufacturing) industries. Hence, lifetime performance index C-L is used to measure the potential and performance of a process, where L is the lower specification limit. In this paper, assuming the conjugate prior distribution and squared-error loss function, this study constructs a Bayes estimator under the Rayleigh distribution with the progressive type II right censored sample. The Bayes estimator of C-L is then utilized to develop a credible interval in the condition of known L. Moreover, we also propose a Bayesian test to assess the lifetime performance of products. Finally, we give two examples and the Monte Carlo simulation to assess the behavior of the lifetime performance index C-L. Moreover, the purchasers can then employ the credible interval and the Bayesian test to determine whether the product performance adheres to the required level. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free