Some remarks on classical and bayesian reliability estimation of binomial and poisson distributions |
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| Authors: | Ajit Chaturvedi Neeraj Tiwari Sanjay Kumar |
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| Affiliation: | (1) Department of Statistics, University of Delhi, 110007 Delhi, India;(2) Department of Statistics, Kumaun University, S.S.J. Campus, 263601 Almora, India |
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| Abstract: | The problems of estimating the reliability function and Pr{X1+...+Xk ≤ Y} are considered. The random variables X’s and Y are assumed to follow binomial and Poisson distributions. Classical estimators available in the literature are discussed and Bayes estimators are derived. In order to obtain the estimators of these parametric functions, the basic role is played by the estimators of factorial moments of the two distributions. |
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| Keywords: | Binomial and Poisson distributions reliability function stress-strength model Bayes estimators |
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