On semiparametric pivotal bayesian inference for quantiles

References

• Antoniak , C.E. 1974 . Mixtures of Dirichlet processes with applications to Bayesian nonparametric problems . Ann. Statist. , 2 : 1152 – 1174 .
   Web of Science ®Google Scholar
• Box , G.E.P. , Hunter , W.G. and Hunter , J.S. 1978 . Statistics for Experimenters , New York : Wiley .
   Google Scholar
• Chamberlain , S.R. and Sprott , D.A. 1989 . Linear systems of pivotais and associated pivotal likelihoods with applications . Biometrika , 76 : 685 – 691 .
   Google Scholar
• Conover , W.J. 1980 . Practical Nonparametric Statistic , 2nd ed. , New York : Wiley .
   Google Scholar
• Cox , D.R. 1975 . Partial likelihood . Biometrika , 62 : 269 – 276 .
   Web of Science ®Google Scholar
• Diaconis , P. and Freedman , D. 1983 . “ Frequency properties of Bayes rules ” . In Scientific Inference, Data Analysis, and Robustness , Edited by: Box , G.E.P. , Leonard , T. and Wu , C.F. 105 – 115 . New York : Academic Press .
   Google Scholar
• Diaconis , P. and Freedman , D. 1986a . On the consistency of Bayes estimates (with Discussion) . Ann. Statist. , 14 : 1 – 67 .
   Web of Science ®Google Scholar
• Diaconis , P. and Freedman , D. 1986b . On inconsistent Bayes estimates of location . Ann. Statist. , 14 : 68 – 87 .
   Web of Science ®Google Scholar
• Doksumu , K.A. and Lo , A.Y. 1990 . Consistent and robust Bayes procedures for location based on partial information . Ann. Statist. , 18 : 443 – 453 .
   Google Scholar
• Ferguson , T.S. 1973 . A Bayesian analysis of some nonparametric problems . Ann. Statist. , 1 : 209 – 230 .
   Web of Science ®Google Scholar
• Ferguson , T.S. , Phadia , E.G. and Tiwari , R.C. 1992 . “ Bayesian nonparametric inference ” . In IMS Lecture Notes-Monograph Series Edited by: Ghosh , M. and Pathak , P.K. Vol. 17 , 127 – 450 .
   Google Scholar
• Jeffreys , H. 1967 . Theory of Probability , 3rd edition , Oxford University Press .
   Google Scholar
• Kalbfleisch , J.D. 1978 . Likelihood methods and nonparametric tests . J. Amer. Statist. Assoc. , 73 : 167 – 170 .
   Web of Science ®Google Scholar
• Lindley , D.V. 1972 . CBMS-NSF Regional Conference Series in Applied Mathematics . Bayesian Statistics, A Review . 1972 . Philadelphia, , Pennsylvania : SIAM .
   Google Scholar
• Monahan , J.F. and Boos , D. D. 1992 . Proper likelihoods for Bayesian analysis . Biometrika , 79 : 271 – 278 .
   Web of Science ®Google Scholar
• Pettitt , A.N. 1982 . Inference for the linear model using a likelihood based on ranks . J. Roy. Statist. Soc. Ser.B , 44 : 234 – 243 .
   Google Scholar
• Pettitt , A.N. 1983 . Likelihood based inference using signed ranks for matched pairs . J. Roy. Statist. Soc. Ser.B , 45 : 287 – 296 .
   Google Scholar
• Pratt , J.W. , Raiffa , H. and Schlaifer , R. 1965 . Introduction to Statistical Decision Theory , New York : McGraw-Hill .
   Google Scholar
• Ritter , C. and Tanner , M.A. 1992 . Facilitating the Gibbs sampler: the Gibbs stopper and the griddy-Gibbs sampler . J. Amer. Statist. Assoc. , 87 : 861 – 868 .
   Web of Science ®Google Scholar
• Swartz T.B. Villegas C. Some nonparametric Bayesian methods Technical Report Department of Mathematics and Statistics Simon Fraser University 1991
   Google Scholar
• Swartz , T.B. 1994 . Subjective priors for the Dirichlet process . Commun. Statist.-Theory Meth. , 22 : 2999 – 3011 .
   Google Scholar