Estimation of Pr(Y < X) for the two-parameter generalized exponential records

This article considers the maximum likelihood and Bayes estimation of the stress-strength reliability based on two-parameter generalized exponential records. Here, we extend the results of Baklizi [Computational Statistics and Data Analysis 52 (2008), 3468-3473] to explain a wide variety of real dat...

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Bibliographic Details
Published in:	Communications in statistics. Simulation and computation Vol. 46; no. 1; pp. 379 - 394
Main Authors:	Asgharzadeh, A., Valiollahi, R., Raqab, M. Z.
Format:	Journal Article
Language:	English
Published:	Philadelphia Taylor & Francis 02-01-2017 Taylor & Francis Ltd
Subjects:	Bayesian analysis Bayesian estimation Bootstrap confidence interval Computation Computer simulation Estimating techniques Maximum likelihood estimator Metropolis method Monte Carlo simulation Parameters Probability distribution functions Record values Reliability Statistics
Online Access:	Get full text
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Summary:	This article considers the maximum likelihood and Bayes estimation of the stress-strength reliability based on two-parameter generalized exponential records. Here, we extend the results of Baklizi [Computational Statistics and Data Analysis 52 (2008), 3468-3473] to explain a wide variety of real datasets. We also consider the estimation of R when the same shape parameter is known. The results for exponential distribution can be obtained as a special case with different scale parameters.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0361-0918 1532-4141
DOI:	10.1080/03610918.2014.964046