Bayesian Analysis of Constrained Parameter and Truncated Data Problems Using Gibbs Sampling

References

• Barlow , R. E. , Bartholomew , D. J. , Bremner , J. M. and Brunk , H. D. 1972 . Statistical Inference Under Order Restrictions , New York : John Wiley .
   Google Scholar
• Bishop , Y. , Fienberg , S. and Holland , P. 1975 . Discrete Multivariate Analysis: Theory and Practice , Cambridge , MA : MIT Press .
   Google Scholar
• Box , G. E. P. and Tiao , G. C. 1973 . Bayesian Inference For Statistical Analysis , Reading , MA : Addison-Wesley .
   Google Scholar
• Broffitt , J. D. 1984 . A Bayes Estimator for Ordered Parameters and Isotonic Bayesian Graduation . Scandinavian Actuarial Journal , 4 : 231 – 247 .
   Google Scholar
• Carlin , B. P. , Gelfand , A. E. and Smith , A. F. M. 1992 . Hierarchical Bayesian Analysis of Change Point Problems . Applied Statistics , 41 : 389 – 405 .
   Web of Science ®Google Scholar
• Das Gupta , A. , Dey , D. K. and Gelfand , A. E. 1988 . A New Admissibility Theorem With Applications To Estimation of Survival and Hazard Rates and Means in the Scale Parameter Family . Sankhyā A , 50 : 269 – 281 .
   Google Scholar
• Devroye , L. 1986 . Non-Uniform Random Variate Generation , New York : Springer-Verlag .
   Google Scholar
• Ebrahimi , N. and Hosmane , B . 1988 . On Shrinkage Estimation of the Exponential Location Parameter . Communications in Statistics A , 16 : 2623 – 2637 .
   Google Scholar
• Gelfand , A. E. and Smith , A. F. M. 1990 . Sampling Based Approaches to Calculating Marginal Densities . Journal of the American Statistical Association , 85 : 398 – 409 .
   Web of Science ®Google Scholar
• Gelfand , A. E. and Smith , A. F. M. 1991 . Gibbs Sampling for Marginal Posterior Expectations . Communications in Statistics B , 20 : 1747 – 1766 .
   Google Scholar
• Gelfand , A. E. , Hills , S. E. , Racine-Poon , A. and Smith , A. F. M. 1990 . Illustration of Bayesian Inference in Normal Data Models Using Gibbs Sampling . Journal of the American Statistical Association , 85 : 972 – 985 .
   Web of Science ®Google Scholar
• Geman , D. and Geman , S. 1984 . Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images . IEEE Transactions on Pattern Analysis and Machine Intelligence , 6 : 721 – 741 .
   PubMed Web of Science ®Google Scholar
• Green , P. E. 1974 . On the Design of Choice Experiments Involving Multifactor Alternatives . Journal of Consumer Research , 1 : 61 – 68 .
   Web of Science ®Google Scholar
• Green , P. E. and Srinivasan , V. 1978 . Conjoint Analysis in Consumer Research: Issues and Outlook . Journal of Consumer Research , 5 : 103 – 123 .
   Web of Science ®Google Scholar
• Hastings , W. K. 1970 . Monte Carlo Sampling Methods Using Markov Chains and Their Applications . Biometrika , 57 : 97 – 109 .
   Web of Science ®Google Scholar
• Lindley , D. V. and Smith , A. F. M. 1972 . Bayes Estimates for the Linear Model . Journal of the Royal Statistical Society , 34 : 1 – 41 . (with discussion), Ser. B
   Google Scholar
• Naylor , J. C. and Smith , A. F. M. 1982 . Applications of a Method for the Efficient Computation of Posterior Distributions . Applied Statistics , 31 : 214 – 225 .
   Web of Science ®Google Scholar
• Ripley , B. 1987 . Stochastic Simulation , New York : John Wiley .
   Google Scholar
• Robertson , T. , Wright , F. T. and Dykstra , R. L. 1988 . Order-Restricted Statistical Inference , New York : John Wiley .
   Google Scholar
• Schmee , J. and Hahn , G. J. 1979 . A Simple Method for Regression Analysis With Censored Data . Technometrics , 21 : 417 – 432 .
   Web of Science ®Google Scholar
• Sedransk , J. , Monahan , J. and Chiu , H. Y. 1985 . Bayesian Estimation of Finite Population Parameters in Categorical Data Models Incorporating Order Restrictions . Journal of the Royal Statistical Society , 47 : 519 – 527 . Ser. B
   Google Scholar
• Silverman , B. 1986 . Density Estimation for Statistics and Data Analysis , London : Chapman & Hall .
   Google Scholar
• Smith , A. F. M. 1973 . Bayes Estimates in One-Way and Two-Way Models . Biometrika , 60 : 319 – 329 .
   Web of Science ®Google Scholar