Reliability Evaluation with Heterogeneous Sequential Order Statistics for the Burr Type XII Distribution  
Author Jyun-You Chiang

 
Co-Author(s) Y. L. Lio; Tzong-Ru Tsai

 
Abstract Assume that each component failure in a composite dynamic system can induce higher loading on surviving components, and then enhances the hazard rate of surviving components in system. In this study, the baseline lifetime distribution of system components is considered as Burr type XII distribution. The power-trend hazard rate function with sequential order statistics is used to characterize the hazard rate of components when the quality of components in the composite dynamic system is heterogeneous. Bayes estimators of model parameters are obtained by using Metropolis-Hasting Markov chain Monte Carlo (M-H MCMC) method. The application of the proposed M-H MCMC method is illustrated by using a numerical example.

 
Keywords Composite dynamic systems, hazard rate, heterogeneous, Markov chain Monte Carlo, sequential order statistics
   
    Article #:  24106
 
Proceedings ISSAT International Conference on Reliability and Quality in Design 2018
August 2-4, 2018 - Toronto, Ontario, Canada