Studying the risk of the linear empirical bayes estimate of the binomial parameter p

Abstract

This paper discusses the risk of the linear empirical Bayes p =â+ß y of the binomial parameter p, where y is the observed proportion of successes in the current trial, âand ßare functions of the estimated prior parameters. When â and ß are non linear functions of the observations, two analytical approximate risks of p, assuming a beta - binomial model, have been developed

Keywords:

• Empirical Bayes methods
• Beta-binomial model
• clinical trials

^*The present address is: Department of Mathematics, Faculty of Science, University of Assiut, Assiut, EGYPT

^*The present address is: Department of Mathematics, Faculty of Science, University of Assiut, Assiut, EGYPT

Notes

^*The present address is: Department of Mathematics, Faculty of Science, University of Assiut, Assiut, EGYPT