Limiting the Risk of the Bayes Estimator for the Binomial Distribution | ||
| The Egyptian Statistical Journal | ||
| Article 1, Volume 35, Issue 2, December 1991, Pages 191-199 PDF (2.37 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.1991.315005 | ||
| Author | ||
| Reda Ibrahim Mazloum* | ||
| Faculty of Economics & Political Science, Cairo University, Egypt | ||
| Abstract | ||
| This article considers the Bayesian problem of estimating the probability of success θ of a binominal distribution when θ itself has a beta prior. The usual Bayes estimator for this situation has high risk if θ is far from the mode of the prior distribution. We suggest a rule which does not have this bad property and still perform well against the beta prior. This rule is a compromise between the Bayes rule and the MLE. | ||
| Keywords | ||
| Bayes Estimator; Beta Prior; Binomial Distribution; Maximum Likelihood Estimation; Risk Reduction | ||
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