Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
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Objective Bayesian testing for the location parameters in the half-normal distributions

  • Kang, Sang-Gil (Department of Computer and Data Information, Sangji University) ;
  • Kim, Dal-Ho (Department of Statistics, Kyungpook National University) ;
  • Lee, Woo-Dong (Department of Asset Management, Daegu Haany University)
  • Received : 2011.10.31
  • Accepted : 2011.11.20
  • Published : 2011.12.01
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Abstract

This article deals with the problem of testing the equality of the location parameters in the half-normal distributions. We propose Bayesian hypothesis testing procedures for the equality of the location parameters under the noninformative prior. The non-informative prior is usually improper which yields a calibration problem that makes the Bayes factor to be defined up to arbitrary constants. This problem can be deal with the use of the fractional Bayes factor or intrinsic Bayes factor. So we propose the default Bayesian hypothesis testing procedures based on the fractional Bayes factor and the intrinsic Bayes factors under the reference priors. Simulation study and an example are provided.

Keywords

References

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