Comparing normal means: New Methods for an old problem

Bayesian Analysis

Volumn 2, Issue 1, 2007, Pages 45-58

  Bernardo, José M ^a   Pérez, Sergio ^a,b  

^a UNIVERSITY OF VALENCIA   (Spain)

^b Colegio de Postgraduados ^*  (Mexico)

Author keywords

Bayes factor; Brc; Comparison of normal means; Intrinsic discrepancy; Precise hypothesis testing; Reference prior; Two sided tests.

Indexed keywords

EID: 83055166892     PISSN: 19360975     EISSN: 19316690     Source Type: Journal    
DOI: 10.1214/07-BA202     Document Type: Article

References (11)

1. Berger, J. O. (2006). The case for objective Bayesian analysis (with discussion). Bayesian Analysis 1: 385-402 and 457-464
2. Berger, J. O. and Bernardo, J. M. (1992). On the development of reference priors (with discussion). In Bayesian Statistics 4, eds. J. M. Bernardo, J. O. Berger, D. V. Lindley and A. F. M. Smith, 61-77. Oxford, UK: Oxford University Press
3. Bernardo, J. M. (1979). Reference posterior distributions for Bayesian inference (with discussion). Journal of the Royal Statistical Society, Series B 41: 113-147
4. Bernardo, J. M. (2005a). Reference analysis. In Handbook of Statistics 25, eds. D. K. Dey and C. R. Rao, 17-90. Amsterdam: Elsevier
5. Bernardo, J. M. (2005b). Intrinsic credible regions: An objective Bayesian approach to interval estimation (with discussion). Test 14: 317-384
6. Bernardo, J. M. and Rueda, R. (2002). Bayesian hypothesis testing: A reference approach. International Statistical Review 70: 351-372.
7. Bernardo, J. M. and Smith, A. F. M. (1994). Bayesian Theory. Chichester, UK: Wiley (2nd. edition to appear in 2007).
8. DeGroot, M. H. and Schervish, M. J. (2002). Probability and Statistics, 3rd ed. Reading, MA: Addison-Wesley
9. Dawid, A. P., Stone, M. and Zidek, J. V. (1973). Marginalization paradoxes in Bayesian and structural inference (with discussion). Journal of the Royal Statistical Society, Series B 35: 189-233
10. Juàrez, M. A. (2005). Normal correlation: An objective Bayesian approach. University of Warwick, UK (CRiSM Working Paper 05-15)
11. Pèrez, S. (2005). Objective Bayesian Methods for Mean Comparison. Universidad de Valencia, Spain (Ph.D. Thesis)