Bayes and Empirical Bayes Estimation of the Parameter n in a Binomial Distribution |
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Authors: | Husam Awni Bayoud |
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Institution: | 1. Arts and Sciences Unit , Fahad bin Sultan University , Tabuk , Saudi Arabia hbayoud@fbsc.edu.sa |
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Abstract: | The problem of estimating the total number of trials n in a binomial distribution is reconsidered in this article for both cases of known and unknown probability of success p from the Bayesian viewpoint. Bayes and empirical Bayes point estimates for n are proposed under the assumption of a left-truncated prior distribution for n and a beta prior distribution for p. Simulation studies are provided in this article in order to compare the proposed estimate with the most familiar n estimates. |
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Keywords: | Bayes estimate Binomial distribution Empirical Bayes estimate |
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