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Wang L, Shi YM. Reliability analysis based on progressively first-failure-censored samples for the proportional hazard rate model. Mathematics and Computers in Simulation. 2012; 82: 1383-1395.

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Article

On the Comparison of Classical and Bayesian Methods of Estimation of Reliability in Multicomponent Stress-Strength Model for a Proportional Hazard Rate Model

1Department of Statistics, University of Delhi, Delhi-110007, India

2Department of Statistics, Ramjas College, University of Delhi, Delhi-110007, India


American Journal of Applied Mathematics and Statistics. 2019, Vol. 7 No. 4, 152-160
DOI: 10.12691/ajams-7-4-5
Copyright © 2019 Science and Education Publishing

Cite this paper:
Taruna Kumari, Anupam Pathak. On the Comparison of Classical and Bayesian Methods of Estimation of Reliability in Multicomponent Stress-Strength Model for a Proportional Hazard Rate Model. American Journal of Applied Mathematics and Statistics. 2019; 7(4):152-160. doi: 10.12691/ajams-7-4-5.

Correspondence to: Anupam  Pathak, Department of Statistics, Ramjas College, University of Delhi, Delhi-110007, India. Email: pathakanupam24@gmail.com

Abstract

In this article, we consider a multicomponent stress-strength model which has k independent and identical strength components X1, X2, …, Xk and each component is exposed to a common random stress Y. Both stress and strength are assumed to have proportional hazard rate model with different unknown power parameters. The system is regarded as operating only if at least s out of k(1≤s≤k) strength variables exceeds the random stress. Reliability of the system is estimated by using maximum likelihood, uniformly minimum variance unbiased and Bayesian methods of estimation. The asymptotic confidence interval is constructed for the reliability function. The performances of these estimators are studied on the basis of their mean squared error through Monte Carlo simulation technique.

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