The Use of Empirical Bayes Techniques in Testing Parameteric Hypotheses
Al-Hussaini, E., Ali, M. (1981). The Use of Empirical Bayes Techniques in Testing Parameteric Hypotheses. EKB Journal Management System, 25(1), 7-23. doi: 10.21608/esju.1981.428122
E. Al-Hussaini; M.A. Mohamad Ali. "The Use of Empirical Bayes Techniques in Testing Parameteric Hypotheses". EKB Journal Management System, 25, 1, 1981, 7-23. doi: 10.21608/esju.1981.428122
Al-Hussaini, E., Ali, M. (1981). 'The Use of Empirical Bayes Techniques in Testing Parameteric Hypotheses', EKB Journal Management System, 25(1), pp. 7-23. doi: 10.21608/esju.1981.428122
Al-Hussaini, E., Ali, M. The Use of Empirical Bayes Techniques in Testing Parameteric Hypotheses. EKB Journal Management System, 1981; 25(1): 7-23. doi: 10.21608/esju.1981.428122

The Use of Empirical Bayes Techniques in Testing Parameteric Hypotheses

The Egyptian Statistical Journal
Article 2, Volume 25, Issue 1, June 1981, Page 7-23  XML PDF (9.8 MB)
Document Type: Original Article
DOI: 10.21608/esju.1981.428122
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Authors
E. Al-Hussaini* ; M.A. Mohamad Ali
Dep. of Mathematics, University of Assiut, Assiut, Egypt
Abstract
Empirical Bayes (EB) rules are obtained for testing the following parametric cases: k-simple and two composite (one and two-sided) hypotheses. A step-function type prior distribu-tion, with unknown jumps, is a suggested form in place of the unknown form prior, used in testing k-simple hypotheses. The prior distribution, in the case of testing composite hypotheses, is not assumed known and no attempt is made to estimate it. Estimates, based on previous random samples, of marginal pro-bability functions are rather used in setting up the EB decisions.
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