Reference Priors When the Stopping Rule Depends on the Parameter of Interest

REFERENCES

• Akaike , H. 1978 . “A New Look at the Bayes Procedure,” . Biometrika , 20 : 53 – 59 .
   Web of Science ®Google Scholar
• Bartholomew , D. 1965 . “A Comparison of Some Bayesian and Frequentist Inferences,” . Biometrika , 52 : 19 – 35 .
   Web of Science ®Google Scholar
• Berger , J. and Bernardo , J. 1989 . “Estimating a Product of Means: Bayesian Analysis With Reference Priors,” . Journal of the American Statistical Association. , 84 : 200 – 207 .
   Web of Science ®Google Scholar
• Berger , J. and Bernardo , J. 1992a . “Reference Priors in a Variance Components Problem,”. ” . In Bayesian Analysis in Statistics and Econometrics Edited by: Goal , P. and Iyenqar , N. S. 177 – 194 . New York : Springer-Verlag. .
   Google Scholar
• Berger , J. and Bernardo , J. 1992b . “Ordered Group Reference Priors With Application to a Multinomial Problem,” . Biometrika , 79 : 25 – 38 .
   Web of Science ®Google Scholar
• Berger , J. and Bernardo , J. 1992c . “On the Development of the Reference Prior Method,”. ” . In Bayesian Statistics 4 Edited by: Bernardo , J. M. , Berger , J. , Dawid , A. P. and Smith , A. F. M. 35 – 60 . London : Oxford University Press. .
   Google Scholar
• Berger , J. and Berry , D. 1988 . “The Relevance of the Stopping Rule in Statistical Analysis,”. ” . In Statistical Decision and Related Topics IV Edited by: Gupta , S. S. and Berger , J. O. 29 – 72 . New York : Springer. .
   Google Scholar
• Bernardo , J. 1979 . “Reference Posterior Distributions for Bayesian Inference” . Journal of the Royal Statistical Society , 41 : 113 – 147 . (with discussion), Ser. B
   Google Scholar
• Box , G. and Tiao , G. 1973 . Bayesian Inference in Statistical Analysis Reading , MA : Addison-Wesley. .
   Google Scholar
• Efron , B. 1986 . “Why Isn't Everyone a Bayesian?,” . The American Statistician. , 40 : 1 – 11 .
   Web of Science ®Google Scholar
• Geisser , S. 1979 . Discussion of “Reference Posterior Distributions for Bayesian Inference” . Journal of the Royal Statistical Society , 41 : 113 – 147 . J. Bernardo, Ser. B
   Google Scholar
• Govindarajulu , Z. 1981 . The Sequential Statistical Analysis of Hypothesis Testing, Point and Interval Estimation, and Decision Theory Columbus , OH : American Sciences Press. .
   Google Scholar
• Jeffreys , H. 1961 . Theory of Probability, , 3rd ed. London : Oxford University Press. .
   Google Scholar
• Norvick , M. and Hall , W. 1965 . “A Bayesian Inference Procedure,” . Journal of the American Statistical Association , 60 : 1104 – 1117 .
   Web of Science ®Google Scholar
• Stein , C. 1985 . “On the Coverage Probability of Confidence Sets Based on a Prior Distribution,”. ” . In Sequential Methods in Statistics 485 – 514 . Zieliski , , Warsaw : PWN-Polish Scientific Publishers. .
   Google Scholar
• Tibshirani , R. 1989 . “Noninformative Priors for One Parameter of Many,” . Biometrika , 76 : 604 – 608 .
   Web of Science ®Google Scholar
• Walker , D. 1969 . “On the Asymptotic Behavior of a Posterior Distribution,” . Journal of the Royal Statistical Society , 31 : 318 – 329 . Ser. B
   Google Scholar
• Welch , B. and Peers , H. 1963 . “On Formulae for Confidence Points Based on Integrals of Weighted Likelihoods,” . Journal of the Royal Statistical Society , 25 : 318 – 329 . Ser. B
   Google Scholar
• Ye , K. 1990 . “Noninformative Priors in Bayesian Analysis,” Purdue University, Dept. of Statistics. . unpublished Ph.D dissertation
   Google Scholar
• Ye , K. and Berger , J. 1991 . “Noninformative Priors for Inferences in Exponential Regression Models,” . Biometrika , 78 : 645 – 656 .
   Web of Science ®Google Scholar
• Zellner , A. 1977 . “Maximal Data Information Prior Distributions,”. ” . In New Methods in the Applications of Bayesian Methods Edited by: Aykac , A. and Brumat , C. 211 – 232 . Amsterdam : North-Holland. .
   Google Scholar