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Estimation of Pr(Y < X) for the two-parameter generalized exponential records |
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| Authors: | A Asgharzadeh R Valiollahi M Z Raqab |
| Institution: | 1. Department of Statistics, University of Mazandaran, Babolsar, Iran;2. Department of Statistics, University of Semnan, Semnan, Iran;3. Department of Mathematics, University of Jordan, Amman, Jordan;4. Department of Statistics and OR, Kuwait University, Safat, Kuwait |
| Abstract: | 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. |
| Keywords: | Bayesian estimation Bootstrap confidence interval Maximum likelihood estimator Metropolis method Record values |