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Theory and Method

Asymptotic Distribution of P Values in Composite Null Models

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Pages 1143-1156 | Received 01 Jan 1999, Published online: 17 Feb 2012

References

  • Bayarri , M. J. and Berger , J. O. 1999 . “Quantifying Surprise in the Data and Model Verification,” . In Bayesian Statistics 6 , Edited by: Bernardo , J. M. , Berger , J. O. , Dawid , A. P. and Smith , A. F. M. 53 – 67 . Oxford , , U.K. : Oxford University Press .
  • Bayarri , M. J. and Berger , J. O. 2000 . “P Values in Composite Null Models” . Journal of the American Statistical Association , 95 : 1127 – 1142 .
  • Beran , R. J. 1988 . “Pre-Pivoting Test Statistics: A Bootstrap View of Asymptotic Refinements” . Journal of the American Statistical Association , 83 : 687 – 697 .
  • Box , G. E. P. 1980 . “Sampling and Bayes Inference in Scientific Modeling and Robustness” . Journal of the Royal Statistical Society , 143 : 383 – 430 . Ser. A
  • Davison , A. C. and Hinkley , D. V. 1997 . Bootstrap Methods and Their Application , Cambridge , , U.K. : Cambridge University Press .
  • Evans , M. 1997 . “Bayesian Inference Procedures Derived via the Concept of Relative Surprise” . Communications in Statistics , 26 : 125 – 143 .
  • Feller , W. 1971 . An Introduction to Probability Theory and Its Applications , Vol. 2 , New York : Wiley .
  • Gelman , A. , Carlin , J. B. , Stern , H. S. and Rubin , D. B. 1995 . Bayesian Data Analysis , New York : Wiley .
  • Gelman , A. , Meng , X. L. and Stern , H. 1996 . “Posterior Predictive Assessment of Model Fitness via Realized Discrepancies” . Statistica Sinica , 6 : 733 – 807 . (with discussion)
  • Ghosh , J. K. “Higher-Order Asymptotics,” . NSF-CBMS Regional Conference Series in Probability and Statistics . Vol. 4 , Hayward , CA : Institute of Mathematical Statistics .
  • Guttman , I. 1967 . “The Use of the Concept of a Future Observation in Goodness-of-Fit Problems” . Journal of the Royal Statistical Society , 29 : 83 – 100 . Ser. B
  • LeCam , L. 1986 . Asymptotic Methods in Statistical Decision Theory , New York : Springer-Verlag .
  • LeCam , L. and Yang , G. 1988 . “On the Preservation of Local Asymptotic Normality Under Information Loss” . The Annals of Statistics , 16 : 483 – 520 .
  • Meng , X. L. 1994 . “Posterior Predictive p Values” . The Annals of Statistics , 22 : 1142 – 1160 .
  • Newton , M. A. and Geyer , C. J. 1994 . “Bootstrap Recycling: A Monte Carlo Alternative to the Nested Bootstrap” . Journal of the American Statistical Association , 89 : 905 – 912 .
  • Pauler , D. 1999 . “ Discussion of “Quantifying Surprise in the Data and Model Verification” . In Bayesian Statistics 6 , Edited by: Bernardo , J. M. , Berger , J. O. , Dawid , A. P. and Smith , A. F. M. 70 – 73 . Oxford , , U.K. : Oxford University Press . by M. J. Baylarri and J. O. Berger
  • Robins , J. M. 1999 . “ Discussion of “Quantifying Surprise in the Data and Model Verification” . In Bayesian Statistics 6 , Edited by: Bernardo , J. M. , Berger , J. O. , Dawid , A. P. and Smith , A. F. M. 67 – 70 . Oxford , , U.K. : Oxford University Press . by M. J. Baylarri and J. O. Berger
  • Rubin , D. B. 1984 . “Bayesianly Justifiable and Relevant Frequency Calculations for the Applied Statistician” . The Annals of Statistics , 12 : 1151 – 1172 .
  • Stigler , S. M. 1977 . “Do Robust Estimators Work With Real Data” . The Annals of Statistics , 5 : 1055 – 1077 .
  • van der Vaart , A. W. 1998 . Asymptotic Statistics , Cambridge , , U.K. : Cambridge University Press .

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