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Theory and Method

Approximate Posterior Distributions

Pages 680-689 | Received 01 Sep 1974, Published online: 05 Apr 2012

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Younshik Chung, Dipak K. Dey & Sangjeen Lee. (2001) APPLYING THE SAVAGE-DICKEY DENSITY RATIO TO DEFAULT BAYES FACTORS, WITH AN ILLUSTRATION TO OUTLIER DETECTION IN RANDOM EFFECTS MODELS. Communications in Statistics - Theory and Methods 30:12, pages 2563-2582.
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RobertE. Kass & Larry Wasserman. (1996) The Selection of Prior Distributions by Formal Rules. Journal of the American Statistical Association 91:435, pages 1343-1370.
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RobertE. Kass & AdrianE. Raftery. (1995) Bayes Factors. Journal of the American Statistical Association 90:430, pages 773-795.
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Isabella Verdinelli & Larry Wasserman. (1995) Computing Bayes Factors Using a Generalization of the Savage-Dickey Density Ratio. Journal of the American Statistical Association 90:430, pages 614-618.
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JamesM. Dickey. (1987) Comment. Journal of the American Statistical Association 82:397, pages 129-130.
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Bruce M. Hill. (1985) Some subjective bayesian considerations in the selection of models. Econometric Reviews 4:2, pages 191-246.
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Erdogan Gunel. (1984) A bayesian analysis of the multinomial model for a dichotomous response with nonrespondents. Communications in Statistics - Theory and Methods 13:6, pages 737-751.
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E. Güinel. (1982) Bay- factors in three-way contingency tables. Communications in Statistics - Theory and Methods 11:8, pages 910-933.
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Leland Stewart. (1979) Multiparameter Univariate Bayesian Analysis. Journal of the American Statistical Association 74:367, pages 684-693.
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WilliamW. Davis. (1979) Approximate Bayesian Predictive Distributions and Model Selection. Journal of the American Statistical Association 74:366a, pages 312-317.
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WilliamW. Davis. (1978) Bayesian Analysis of the Linear Model Subject to Linear Inequality Constraints. Journal of the American Statistical Association 73:363, pages 573-579.
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C. Villegas. (1977) On the Representation of Ignorance. Journal of the American Statistical Association 72:359, pages 651-654.
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JamesM. Dickey. (1977) Is the Tail Area Useful as an Approximate Bayes Factor?. Journal of the American Statistical Association 72:357, pages 138-142.
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Hari H. Dayal. (1977) Bayesian procedures for testing partial equality of two populations when parameters are exchangeable. Communications in Statistics - Theory and Methods 6:14, pages 1393-1397.
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Man-Suk Oh, Jungsoon Choi & Eun Sug Park. (2016) Bayesian variable selection in quantile regression using the Savage–Dickey density ratio. Journal of the Korean Statistical Society 45:3, pages 466-476.
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Yongku Kim, L. Mark Berliner & Dal Ho Kim. (2015) Approximated sensitivity analysis in posterior predictive distribution. Journal of the Korean Statistical Society 44:2, pages 261-270.
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Man-Suk Oh. (2014) Bayesian Inference with Inequality Constraints. Korean Journal of Applied Statistics 27:6, pages 909-922.
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Man-Suk Oh. (2014) Bayesian test on equality of score parameters in the order restricted RC association model. Computational Statistics & Data Analysis 72, pages 147-157.
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Man-Suk Oh. (2012) Bayesian multiple comparison of models for binary data with inequality constraints. Statistics and Computing 23:4, pages 481-490.
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Samuel Kotz, Campbell B. Read, N. Balakrishnan, Brani Vidakovic & Norman L. JohnsonGlenn Shafer. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
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Samuel Kotz, Campbell B. Read, N. Balakrishnan, Brani Vidakovic & Norman L. JohnsonJ. M. Dickey. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Jayanta Ghosh, Sumitra Purkayastha & Tapas Samanta. 2005. Bayesian Thinking - Modeling and Computation. Bayesian Thinking - Modeling and Computation 151 170 .
Samuel Kotz, Campbell B. Read, N. Balakrishnan, Brani Vidakovic & Norman L. JohnsonGlenn Shafer. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Samuel Kotz, Campbell B. Read, N. Balakrishnan, Brani Vidakovic & Norman L. JohnsonDavid J. Pack. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Samuel Kotz, Campbell B. Read, N. Balakrishnan, Brani Vidakovic & Norman L. JohnsonJ. M. Dickey. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Joseph B. Kadane, Elias Moreno, Maria Eglee Perez & Luis Raul Pericchi. (2002) Applying non-parametric robust Bayesian analysis to non-opinionated judicial neutrality. Journal of Statistical Planning and Inference 102:2, pages 425-439.
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Thomas Leonard, Orestis Papasouliotis & Ian G. Main. (2001) A Poisson model for identifying characteristic size effects in frequency data: Application to frequency-size distributions for global earthquakes, “starquakes”, and fault lengths. Journal of Geophysical Research: Solid Earth 106:B7, pages 13473-13484.
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Elias Moreno. 2000. Robust Bayesian Analysis. Robust Bayesian Analysis 45 70 .
Elias Moreno, Luis R. Pericchi & Joseph B. Kadane. 1999. Decision Science and Technology. Decision Science and Technology 171 181 .
Richard A. Levine & George Casella. (1996) Convergence of posterior odds. Journal of Statistical Planning and Inference 55:3, pages 331-344.
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E. Gunel & S. Wearden. (1995) Bayesian estimation and testing of gene frequencies. Theoretical and Applied Genetics 91:3, pages 534-543.
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José M. Bernardo & Adrian F. M. Smith. 1994. Bayesian Theory. Bayesian Theory 489 554 .
Mohan Delampady. (1989) Lower bounds on Bayes factors for invariant testing situations. Journal of Multivariate Analysis 28:2, pages 227-246.
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S. R. Dalal & W. J. Hall. (1983) Approximating Priors by Mixtures of Natural Conjugate Priors. Journal of the Royal Statistical Society: Series B (Methodological) 45:2, pages 278-286.
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Hirotugu Akaike. (1980) The Interpretation of Improper Prior Distributions as Limits of Data Dependent Proper Prior Distributions. Journal of the Royal Statistical Society: Series B (Methodological) 42:1, pages 46-52.
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Christopher B. Barry. (2014) BAYESIAN BETAS AND DECEPTION: A COMMENT. Journal of Financial Research 3:1, pages 85-90.
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G. A. Barnard. (1980) Pivotal inference and the Bayesian controversy. Trabajos de Estadistica Y de Investigacion Operativa 31:1, pages 295-318.
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JOSEPH B. KADANE & JAMES M. DICKEY. 1980. Evaluation of Econometric Models. Evaluation of Econometric Models 245 268 .
Christopher B. Barry. (2005) Information Use and Expectations Formation in Security Markets. Financial Review 14:1, pages 45-57.
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Jose M. Bernardo. (1979) Reference Posterior Distributions for Bayesian Inference. Journal of the Royal Statistical Society: Series B (Methodological) 41:2, pages 113-128.
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J. M. Dickey & E. Gunel. (1978) Bayes Factors from Mixed Probabilities. Journal of the Royal Statistical Society: Series B (Methodological) 40:1, pages 43-46.
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. (1977) Discussion of Mr Wilkinson's Paper. Journal of the Royal Statistical Society: Series B (Methodological) 39:2, pages 144-171.
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