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2014 Analysis of the Behrens-Fisher Problem Based on Bayesian Evidence
Yuliang Yin, Baoren Li
J. Appl. Math. 2014: 1-5 (2014). DOI: 10.1155/2014/978691


The Behrens-Fisher problem concerns the inferences for the difference between the means of two normal populations without making any assumption about the variances. Although the problem has been extensively studied in the literature, researchers cannot agree on its solution at present. In this paper, we propose a new method for dealing with the Behrens-Fisher problem in the Bayesian framework. The Bayesian evidence for testing the equality of two normal means and a credible interval at a specified level for the difference between the means are derived. Simulation studies are carried out to evaluate the performance of the provided Bayesian evidence.


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Yuliang Yin. Baoren Li. "Analysis of the Behrens-Fisher Problem Based on Bayesian Evidence." J. Appl. Math. 2014 1 - 5, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010814
MathSciNet: MR3178981
Digital Object Identifier: 10.1155/2014/978691

Rights: Copyright © 2014 Hindawi


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