Bayesian Multiple Comparisons for K-Exponential Populations with Type-II Censored Data by Fractional Bayes Factors

  • Published : 2002.04.30

Abstract

We propose the Bayesian testing for the equality of K-exponential populations means with Type-II censored data. Specially we use the fractional Bayesian factors suggested by O'Hagan (1995) based on the noninformative priors for the parameters. And, we investigate the usefulness of the proposed Bayesian testing procedures via both real data analysis and simulations and compare the classical likelihood ratio(LR) test with the proposed Bayesian test.

Keywords

References

  1. Journal of American Statistical Association v.91 The Intrinsic Bayes Factor for Model Selection and Prediction Berger, J. O.;Pericchi, L. R.
  2. Sankhya, B v.91 Accurate and Stable Bayesian Model Selection : The Median Intrinsic Bayes Factor Berger, J. O.;Pericchi, L. R.
  3. Journal of the Korean Statistical Society v.29 no.1 Intrinsic Bayes Factor for Exponential Model Comparison with Censored Data Dal Ho Kim;Sang Kil Kang;Seong. W. Kim
  4. Journal of the American Statistical Association v.74 A Predictive Approach to Model Selection Geisser, B.;Eddy, W.F.
  5. Journal of American Statistical Association v.93 Bayesian Multiple Comparisons Using Dirichlet Process Priors Gopalan, R.;Berry, D.A.
  6. The Journal of Korean Statistical Society v.29 no.4 Intrinsic Priors for Testing Two Normal Means with the Default Bayes Factors Jongsig Bae;Hyunsoo Kim;Seong. W. Kim
  7. Journal of the Royal Statistical Society, B v.57 Fractional Bayes Factors for Model Comparison O'Hagan, A.
  8. Technometrics v.5 Theoretical Explanation of Observed Decreasing Failure Rate Proschan, F.
  9. Journal of Royal Statistical Society, B v.46 A Predictive Model Selection Criterion San Martini, A.;Spezzaferri, F.
  10. Statistics and Probability Letters v.46 Intrinsic priors for testing exponential means Seong, W. Kim
  11. Lifetime Data Analysis v.6 no.3 Intrinsic priors for model selection using an encompassing model with application to censored failure time data Seong W. Kim;D. Sun
  12. The Journal of Korean Statistical Society v.29 no.4 Intrinsic Priors for Testing Exponential Means with the Fractional Bayes Factor Seong W. Kim;Hyunsoo Kim
  13. Journal of Royal Statistical Society, Ser. B v.44 Bayes Factor for Linear and Log-linear Models with Vague Prior Information Spiegelhalter, D.J.;Smith, A.F.M.