Journal of Statistics Applications & Probability
Abstract
This paper discusses the problem of the estimation of stressed system reliability under both classical and Bayesian paradigms. It is assumed that the strength of a system and the environmental stress applied on it, follow the generalized Lindley distribution. For Bayesian calculation, we proposed the use of MCMC technique viz Metropolis-Hastings algorithm to approximate the posteriors of the stress-strength parameters. The behaviours of the maximum likelihood and Bayes estimators of stress-strength parameters and reliability have been studied through the Monte Carlo simulation study. Finally, the empirical illustration based on a real data set has been provided.
Suggested Reviewers
N/A
Digital Object Identifier (DOI)
http://dx.doi.org/10.18576/jsap/030106
Recommended Citation
Kumar Singh, Sanjay; Singh, Umesh; and Kumar Sharma, Vikas
(2014)
"Estimation on System Reliability in Generalized Lindley Stress-Strength Model,"
Journal of Statistics Applications & Probability: Vol. 3:
Iss.
1, Article 6.
DOI: http://dx.doi.org/10.18576/jsap/030106
Available at:
https://digitalcommons.aaru.edu.jo/jsap/vol3/iss1/6