Estimating normal means with a conjugate style dirichlet process prior

Communications in Statistics - Simulation and Computation

Volumn 23, Issue 3, 1994, Pages 727-741

  MacEachern, Steven N ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

Gibbs sampler; hierarchical model; Markov chain; nonparametric Bayes

Indexed keywords

EID: 84972808999     PISSN: 03610918     EISSN: 15324141     Source Type: Journal    
DOI: 10.1080/03610919408813196     Document Type: Article

References (14)

1. Antoniak, C. (1974). Mixtures of Dirichlet Processes with Applications to Bayesian Nonparametric Problems. Ann. Statist. 2 1152–1174.
2. Berry, D. and Christensen, R. (1979). Empirical Bayes Estimation of a Binomial Parameter via Mixtures of Dirichlet Processes. Ann. Statist. 7 558–568.
3. Brunner, L.J. and Lo, A.Y. (1989). Bayes Methods for a Symmetric Unimodal Density and Its Mode. Ann. Statist. 4 1550–1566.
4. Doss, H. (1991). Bayesian Nonparametric Estimation for Incomplete Data Via Successive Substitution Sampling. Florida State University Technical Report No. 850.
5. Escobar, M. (1991). Estimating Normal Means with a Dirichlet Process Prior. Technical Report No. 512, Department of Statistics, Carnegie Mellon University.
6. Escobar, M. and West, M. (1991). Bayesian Density Estimation and Inference Using Mixtures. Technical Report No. 533, Department of Statistics, Carnegie Mellon University.
7. Ferguson, T.S. (1973). A Bayesian Analysis of some Nonparametric Problems. The Ann. Statist. 1 209–230.
8. Gelfand, A.E. and Kuo, L. (1991). Nonparametric Bayesian Bioassay Including Ordered Polytomous Response. Biometrika 78 657–666.
9. Gelfand, A.E. and Smith, A.F.M. (1990). Sampling Based Approaches to Calculating Marginal Densities. J. Amer. Statist. Assoc. 85 398–409.
10. Kuo, L. (1986). Computations of Mixtures of Dirichlet Processes. SIAM J. Sci. Statist. Comp. 7 60–71.
11. Kuo, L., and Smith, A.F.M. (1992). Bayesian Computations in Survival Models via the Gibbs Sampler, in Survival Analysis: State of the Art (ed. Klein, J.P. and Goel, P.K.), Kluwer Academic Publishers: Dordrecht, The Netherlands.
12. Lindley, D. and Smith, A.F.M. (1972). Bayes Estimates for the Linear Model. J. Royal Statist.Soc. B 34 1–41.
13. Nummelin, E. (1984). General Irreducible Markov Chains and Non-Negative Operators. Cambridge: Cambridge University Press.
14. Tierney, L. (1991). Markov Chains for Exploring Posterior Distributions. Technical Report No. 560, School of Statistics, University of Minnesota.