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International Journal of Quality, Statistics, and Reliability
Volume 2011 (2011), Article ID 721962, 8 pages
doi:10.1155/2011/721962
Estimation of Reliability for a Two Component Survival Stress-Strength Model
1Department of Studies in Statistics, Karnatak University, Dharwad, Karnataka 580-003, India
2KLS-Institute of Management Education and Research, Belgaum, Karnataka 590-011, India
Received 14 December 2010; Revised 5 May 2011; Accepted 17 June 2011
Academic Editor: Mohammad Modarres
Copyright © 2011 S. B. Munoli and Rohit R. Mutkekar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The reliability function for a parallel system of two identical components is derived from a stress-strength model, where failure of one component increases the stress on the surviving component of the system. The Maximum Likelihood Estimators of parameters and their asymptotic distribution are obtained. Further the Maximum Likelihood Estimator and Bayes Estimator of reliability function are obtained using the data from a life-testing experiment. Computation of estimators is illustrated through simulation study.