International Journal of Reliability and Applications
- Volume 13 Issue 1
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- Pages.37-47
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- 2012
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- 1598-0073(pISSN)
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- 2283-8914(eISSN)
Bayesian reliability estimation of bivariate Marshal-Olkin exponential stress-strength model
- Chandra, N. (Department of Statistics, Ramanujan School of Mathematical Sciences, Pondicherry University) ;
- Pandey, M. (Ex. Professor of Biostatistics, Department of Zoology, Faculty of Science and DST Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University)
- Published : 2012.06.30
Abstract
In this article we attempted reliability analysis of a component under the stress-strength pattern with both classical as well as Bayesian techniques. The main focus is made to develop the theory for dealing the reliability problems in various circumstances for bivariate environmental set up in context of Bayesian paradigm. A stress-strength based model describes the life of a component which has strength (Y) and is subjected to stress(X). We develop the Bayes and moment estimators of reliability of a component for each of the three possible conditions, under the assumption that the two stresses (i.e.
Keywords
- Reliability analysis;
- Bayes estimator;
- moment estimator;
- bivariate exponential;
- stress-strength model;
- Monte Carlo integration;
- Gibbs sampling;
- MCMC simulation