References
- Anderson , T. W. ( 1955 ). The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities . Proc. Amer. Math. Soc. 6 : 170 – 176 .
- Basu , S. , Miccheli , C. A. , Olsen , P. ( 2001 ). Power exponential densities for the training and classification of acoustic feature vectors in speech recognition . J. Computat. Graphic. Statist. 10 ( 1 ): 158 – 184 .
- Bernardo , J. M. , Smith , A. F. M. ( 1994 ). Bayesian Theory . Chichester : Wiley .
- Casella , G. , Berger , R. L. ( 1987 ). Reconciling Bayesian and frequentist evidence in the one-sided testing problem, (with discussions) . J. Amer. Statist. Assoc. 82 : 106 – 135 .
- Crowder , M. J. , Hand , D. J. ( 1990 ). Analysis of Repeated Measures . London : Chapman and Hall .
- Fang , K. , Zhang , Y. ( 1990 ). Generalized Multivariate Analysis . Beijing : Springer-Verlag .
- Gómez–Villegas , M. A. , Gómez , E. ( 1992 ). Bayes factor in testing precise hypotheses . Commun. Statist. Theor. Meth. 21 : 1707 – 1715 .
- Gómez , E. , Gómez–Villegas , M. A. , Marín , J. M. ( 1998 ). A multivariate generalization of the power exponential family of distributions . Commun. Statist. Theor. Meth. 27 : 589 – 600 .
- Gómez , E. , Gómez–Villegas , M. A. , Marín , J. M. ( 2002 ). Continuous elliptical and exponential power linear dynamic models . J. Multivariate Anal. 83 : 22 – 36 .
- Gómez–Villegas , M. A. , Maín , P. , Sanz , L. ( 2002 ). A suitable Bayesian approach in testing point null hypothesis: some examples revisited . Commun. Statist. Theor. Meth. 31 : 201 – 217 .
- Gómez–Villegas , M. A. , Maín , P. , Navarro , H. , Sanz , L. ( 2004 ). Asymptotic relationships between posterior probabilities and p-values using the hazard rate . Statist. Probab. Lett. 66 : 59 – 66 .
- Gómez–Villegas , M. A. , Maín , P. , Sanz , L. ( 2008 ). A Bayesian analysis for the multivariate point null testing problem . Submitted .
- Gómez–Villegas , M. A. , Sanz , L. ( 1998 ). Reconciling Bayesian and frequentist evidence in the point null testing problem . Test 7 : 207 – 216 .
- Gómez–Villegas , M. A. , Sanz , L. ( 2000 ). ε-contaminated priors in testing point null hypothesis: a procedure to determine the prior probability . Statist. Probab. Lett. 47 : 53 – 60 .
- Jensen , D. R. , Good , I. J. ( 1983 ). A representation for ellipsoidal distributions . Siam J. Appl. Math. 43 : 1194 – 1200 .
- Lindsey , J. K. ( 1999 ). Multivariate elliptically–contoured distributions for repeated measurements . Biometrics 55 : 1277 – 1280 .
- Lindsey , J. K. , Lindsey , P. J. ( 2006 ). Multivariate distributions with correlation matrices for repeated measurements . Computat. Statist. Data Anal. 50 : 720 – 732 .
- Lizee , J. , Plunkett , T. ( 2002 ). Archaeological sampling strategies . http://Archnet.asu.edu .
- Oh , M. S. ( 1998 ). A Bayes test for simple versus one-sided hypothesis on the mean vector of a multivariate normal distribution . Commun. Statist. Theor. Meth. 27 : 2371 – 2389 .
- Oh , H. S. , DasGupta , A. ( 1999 ). Comparison of the p-value and posterior probability . J. Statist. Plann. Infer. 76 : 93 – 107 .