References
- Ahrens , L. A. 1965 . “Observations on the Fe-Si-Mg Relationship in Chondrite,” . Geochimica et Cosmochimica Acta. , 29 : 801 – 806 .
- Antoniak , C. E. 1974 . “Mixtures of Dirichlet Processes With Applications to Bayesian Nonparametric Problems,” . Annals of Statistics , 2 : 1152 – 1174 .
- Bar-Lev , S. K. and Enis , P. 1986 . “Reproducibility and Natural Exponential Families With Power Variance Functions,” . Annals of Statistics , 14 : 1507 – 1522 .
- Blackwell , D. 1973 . “Discreteness of Ferguson Selections,” . Annals of Statistics , 1 : 356 – 358 .
- Bloch , D. A. and Watson , G. S. 1967 . “A Bayesian Study of the Multinomial Distribution,” . Annals of Statistics , 38 : 1423 – 1434 .
- Carlson , B. C. 1971 . “Appell Functions and Multiple Averages,” . SIAM Journal of Mathematical Analysis , 2 : 420 – 430 .
- Cifarelli , D. M. and Regazzini , E. 1990 . “Distribution Functions of Means of a Dirichlet Process,” . Annals of Statistics , 18 : 429 – 442 .
- Diaconis , P. and Freedman , D. 1986 . “On the Consistency of Bayes Estimates” . Annals of Statistics , 14 : 1 – 67 . (with discussion)
- Diaconis , P. and Kemperman , J. 1996 . “Some New Tools for Dirichlet Priors,” . In Bayesian Statistics 5 , Edited by: Bernardo , J. M. , Berger , J. O. , Dawid , A. P. and Smith , A. F. M. 97 – 106 . New York : Oxford University Press .
- Dickey , J. M. 1968a . “Estimation of Disease Probabilities Conditioned on Symptom Variables,” . Mathematical Biosciences , 3 : 249 – 265 .
- Dickey , J. M. 1968b . “Smoothed Estimates for Multinomial Cell Probabilities,” . Annals of Statistics , 39 : 561 – 566 .
- Dickey , J. M. 1969 . “Smoothing by Cheating,” . Annals of Statistics , 40 : 1477 – 1482 .
- Dickey , J. M. 1973 . “Scientific Reporting and Personal Probabilities: Student's Hypothesis,” . Journal of the Royal Statistical Society , 35 : 285 – 305 . Ser. B
- Dickey , J. M. 1978 . “Discussion of ‘Density Estimation, Stochastic Processes, and Prior Information’,” . Journal of the Royal Statistical Society , 40 : 113 – 146 . by T. Leonard, Ser. B
- Dickey , J. M. 1983 . “Multiple Hypergeometric Functions: Probabilistic Interpretations and Statistical Uses,” . Journal of the American Statistical Association , 78 : 628 – 637 .
- Dickey , J. M. , Garthwaite , P. H. and Bian , G. 1995 . “An Elementary Continuous-Type Nonparametric Distribution Estimate,” . International Journal of Mathematical and Statistical Sciences , 4 ( 2 ) : 193 – 247 .
- Dickey , J. M. , Jiang , J.-M. and Kadane , J. B. 1987 . “Bayesian Methods for Censored Categorical Data,” . Journal of the American Statistical Association , 82 : 773 – 781 .
- Escobar , M. D. 1988 . “Estimating the Means of Several Normal Populations by Nonparametric Estimation of the Distribution of the Means,” , Yale University, Dept. of Statistics . unpublished Ph.D. dissertation
- Ferguson , T. S. 1973 . “A Bayesian Analysis of Some Nonparametric Problems,” . Annals of Statistics , 1 : 209 – 230 .
- Fienberg , S. E. and Holland , P. W. 1973 . “Simultaneous Estimation of Multinomial Cell Probabilities,” . Journal of the American Statistical Association , 68 : 683 – 689 .
- Freedman , D. , Pisani , R. and Purves , R. 1978 . Statistics , New York : Norton .
- Good , I. J. 1950 . Probability and the Weighing of Evidence , New York : Hafner .
- Good , I. J. 1965 . The Estimation of Probabilities , Cambridge , MA : MIT Press .
- Good , I. J. and Gaskins , R. A. 1971 . “Nonparametric Roughness Penalties for Probability Densities,” . Biometrika , 58 : 255 – 277 .
- Good , I. J. and Gaskins , R. A. 1980 . “Density Estimation and Bump-Hunting by the Penalized Likelihood Method Exemplified by Scattering and Meteorite Data,” . Journal of the American Statistical Association , 75 : 42 – 56 .
- Hill , B. M. 1969 . “Foundations of the Theory of Least Squares,” . Journal of the Royal Statistical Society , 31 : 89 – 97 . Ser. B
- Hill , B. M. 1990 . “A Theory of Bayesian Data Analysis,” . In Bayesian and Likelihood Methods in Statistics and Econometrics , Edited by: Geisser , S. , Hodges , J. S. , Press , S. J. and Zellner , A. Amsterdam : North-Holland .
- Hoffman , M. S. 1987 . The World Almanac and Book of Facts 1987 , New York : Pharos .
- Jaynes , E. T. 1979 . “Concentration of Distributions at Maximum Entropy,” . In E. T. Jaynes: Papers on Probability, Statistics, and Statistical Physics , Edited by: Rosenkrantz , R. D. Boston : Reidel .
- Jiang , J.-M. 1984 . “Distributional Properties of Linear Forms in a Dirichlet Vector and Applications,” , State University of New York at Albany, Dept. of Mathematics and Statistics . Ph.D. dissertation and Research Report 14
- Jiang , J.-M. 1988 . “Starlike Functions and Linear Functions of a Dirichlet Distributed Vector,” . SIAM Journal of Mathematical Analysis , 19 : 390 – 397 .
- Jiang , T. J. , Kadane , J. B. and Dickey , J. M. 1992 . “Computation of Carlson's Multiple Hypergeometric Function R for Bayesian Applications,” . Journal of Computational and Graphical Statistics , 1 : 231 – 251 .
- Lenk , P. J. 1988 . “The Logistic Normal Distribution for Bayesian Nonparametric Predictive Densities,” . Journal of the American Statistical Association , 83 : 509 – 516 .
- Leonard , T. 1973 . “A Bayesian Method for Histograms,” . Biometrika , 60 : 297 – 308 .
- Leonard , T. 1978 . “Density Estimation, Stochastic Processes, and Prior Information” . Journal of the Royal Statistical Society , 40 : 113 – 146 . (with discussion), Ser. B
- Lo , A. Y. 1984 . “On a Class of Bayesian Nonparametric Estimates: I, Density Estimates,” . Annals of Statistics , 12 : 351 – 357 .
- Lo , A. Y. 1987 . “Bayes Methods for Mixture Models,” , State University of New York at Buffalo, Dept. of Statistics . Research Report 86–3
- Mendenhall , W. , Reinmuth , J. E. , Beaver , R. and Duhan , D. 1986 . Statistics for Management and Economics, , 5th ed. , Boston : Duxbury .
- Raiffa , H. and Schlaifer , R. 1961 . Applied Statistical Decision Theory , Cambridge , MA : Division of Research, Harvard Business School .
- Simonoff , J. S. 1983 . “A Penalty Function Approach to Smoothing Large Sparse Contingency Tables,” . Annals of Statistics , 11 : 208 – 218 .
- Stone , M. 1974 . “Cross-Validation and Multinomial Prediction,” . Biometrika , 61 : 509 – 515 .
- Tierney , L. and Kadane , J. B. 1986 . “Accurate Approximations for Posterior Moments and Marginal Densities,” . Journal of the American Statistical Association , 81 : 82 – 86 .
- Titterington , D. M. 1985 . “Common Structure of Smoothing Techniques in Statistics,” . International Statistical Review , 53 : 141 – 170 .
- Titterington , D. M. , Smith , A. F. M. and Makov , U. E. 1985 . Statistical Analysis of Finite Mixture Distributions , New York : Wiley .
- Tiwari , R. C. , Chib , S. and Jammalamadaka , S. R. “Nonparametric Bayes Prediction Density Estimation by Random Mixtures of Multivariate Distributions,” . paper presented at the 34th Meeting of the NBER-NSF Seminar for Bayesian Inference in Econometrics . April 24–25 1987 . Duke University .
- U.S. Bureau of the Census . 1975 . Historical Statistics in the United States. Part I , Washington , D.C. : U.S. Government Printing Office .
- U.S. Bureau of the Census . 1987 . Statistical Abstract of the United States 1988, , 108th ed. , Washington , D.C. : U.S. Government Printing Office .
- Vardi , Y. , Shepp , L. A. and Kaufman , L. 1985 . “A Statistical Model for Positron Emission Tomography” . Journal of the American Statistical Association , 80 : 8 – 37 . (with discussion)
- Whittle , P. 1958 . “On the Smoothing of Probability Density Functions,” . Journal of the Royal Statistical Society , 20 : 334 – 343 . Ser. B