One sample proportion test with vague prior in predictive approach.

A. K. Sinha; A. H. M. Rahmatullah Imon; Md Rakibul Hasan; S. K. Bhattacharjee

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One sample proportion test with vague prior in predictive approach.

Author(s)

A. K. Sinha Department of Economics, East West University, 43 C/A Mohakhali, Dhaka, Bangladesh

A. H. M. Rahmatullah Imon Department of Mathematical Sciences, Ball State University, Muncie, IN 47306, U.S.A

Md Rakibul Hasan Department of APCE, East West University, Mohakhali, Dhaka, Bangladesh

S. K. Bhattacharjee Department of Statistics, University of Rajshahi, Rajshahi, Bangladesh

Abstract

In this paper we would like to test one sample proportion with vague prior in Bayesian predictive approach. To do this we obtain the predictive densities of null hypothesis and alternative hypothesis. Kullback and Leibler directed measure of divergence is used to obtain the discrepancy between these two predictive densities. Then the distribution of this discrepancy is derived to suggest the test procedure.

Publication Details

Page(s) 325-331

DOI DOI not available

Published Journal: Pakistan Journal of Statistics, Volume: 24, Issue: 4, Year: 2008

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