Mixture Failure Rate: A Study Based on Cross-entropy and MCMC Method

被引:0
|
作者
Tien Thanh Thach [1 ]
Bris, Radim [1 ]
Coolen, Frank P. A. [2 ]
机构
[1] VSB Tech Univ Ostrava, Dept Appl Math, Ostrava, Czech Republic
[2] Univ Durham, Dept Math Sci, Durham, England
来源
2017 INTERNATIONAL CONFERENCE ON INFORMATION AND DIGITAL TECHNOLOGIES (IDT) | 2017年
关键词
Failure time distribution; failure rate; Markov chain Monte Carlo; Metropolis-Hastings algorithm; maximum likelihood estimation; Cross-Entropy algorithm; LIFE DISTRIBUTIONS; RELIABILITY; PARAMETERS;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, the parameters and reliability characteristics of the mixture of the failure time distribution are estimated based on a complete sample using both Markov chain Monte Carlo (MCMC) method and maximum likelihood estimation via cross-entropy (CE) algorithm. While maximum likelihood estimation is the most frequently used method for parameter estimation, MCMC has recently emerged as a good alternative. The most popular MCMC method, called the Metropolis-Hastings algorithm, is used to provide a complete analysis of the concerned posterior distribution. A simulation study is provided to compare MCMC with CE, and differences between the estimates obtained by the two approaches are evaluated.
引用
收藏
页码:373 / 382
页数:10
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