Bayesian Model Selection in Finite Mixtures by Marginal Density Decompositions

Bayesian Model Selection in Finite Mixtures by Marginal Density Decompositions (2001)

Cached

Download Links

by Hemant Ishwaran , Lancelot F. James , Jiayang Sun

Venue:	JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
Citations:	12 - 6 self

BibTeX

@ARTICLE{Ishwaran01bayesianmodel,
    author = {Hemant Ishwaran and Lancelot F. James and Jiayang Sun},
    title = {Bayesian Model Selection in Finite Mixtures by Marginal Density Decompositions },
    journal = {JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION},
    year = {2001},
    volume = {96},
    pages = {1316--1332}
}

Bookmark

OpenURL

Abstract

Citations

1785	An Introduction to the Bootstrap - Efron, Tibshirani - 1993
843	Information theory and an extension of the maximum likelihood principle - Akaike - 1973
786	Bayesian Theory - Bernardo, Smith - 1994
595	Finite Mixture Models - McLachlan, Peel - 2000
488	T.S.: A Bayesian analysis of some nonparametric problems - Ferguson - 1973
326	On Bayesian analysis of mixtures with an unknown number of components, with discussion - Richardson, Green - 1997
235	Estimating the dimension of a model - Schwartz - 1978
231	Marginal likelihood from the Gibbs output - Chib - 1995
104	C: Estimation of finite mixture distributions through Bayesian sampling - Diebolt, Robert - 1994
92	Information–theoretic asymptotics of Bayes methods - Clarke, Barron - 1990
88	L: Practical bayesian density estimation using mixtures of Normals - Roeder, Wasserman - 1997
78	Exchangeable and partially exchangeable random partitions. Probab. Theory Related Fields - Pitman - 1995
70	On a class of bayesian nonparametric estimates: I. density estimates - Lo - 1984
64	BG: The Geometry of Mixture Likelihoods: A General Theory. Ann Stat - Lindsay - 1983
60	Using kernel density estimates to investigate multimodality - SILVERMAN - 1981
55	On Bayes procedures - SCHWARTZ - 1965
43	Asymptotic minimax character of the sample distribution function and of the classical multinomial estimators”, Ann - Dvoretsky, Kiefer, et al. - 1956
43	D: Estimation and Hypothesis Testing in Finite Mixture Models - Aitkin, Rubin - 1985
36	Generalized weighted Chinese restaurant processes for species sampling mixture models - Ishwaran, James
35	Hypothesis testing and model selection - Raftery - 1996
31	The tight constant in the Dvoretzky-Kiefer-Wolfowitz inequality. The Annals of Probability - Massart - 1990
31	On a Class of Bayesian Nonparametric Estimates - Lo, Weng - 1989
31	The mode tree: a tool for visualization of nonparametric density features - MINNOTTE, SCOTT - 1993
29	Consistent estimation of a mixing distribution - Leroux - 1992
23	The exponential convergence of posterior probabilities with implications for Bayes estimators of density functions - BARRON - 1988
23	Markov chain Monte Carlo approximate Dirichlet and beta two-parameter process hierarchical models - Ishwaran, Zarepour - 2000
22	Mixtures of exponential distributions - Jewell - 1982
21	Philatelic Mixtures and Multimodal Densities - Izenman - 1988
20	Consistent estimation of the order of mixture models - Keribin - 2000
16	Maximum likelihood estimation of a compound Poisson process - Simar - 1976
14	On the convolution of distributions - Teicher - 1954
13	Weighted Chinese restaurant processes and Bayesian mixture models. Research report, Hong Kong Univ. of Science and Technology. Available at www.erin.utoronto.ca/˜jbrunner/papers/wcr96.pdf - Lo, Brunner, et al. - 1996
13	Optimal rate of convergence for finite mixture models - Chen - 1995
13	Consistency of maximum likelihood estimators for certain nonparametric families, in particular: mixtures - Pfanzagl - 1988
12	Estimation of mixture distributions through Bayesian sampling - Diebolt, Robert - 1994
11	Rates of convergence for the maximum likelihood estimator in mixture models - Geer - 1996
10	A graphical technique for determining the number of components in a mixture of normals - Roeder - 1994
9	Hypothesis Testing and Model Selection,” Markov Chain Monte Carlo in Practice - Raftery - 1996
7	Rates of convergence for the Gaussian mixture sieve. The Annals of Statistics - Genovese, Wasserman - 2000
6	On bayes procedures. Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete 4 - Schwartz - 1965
5	Rates of convergence for the Gaussian mixture - Genovese, Wasserman - 2000
5	Markov Chain Monte Carlo - Ishwaran, Zarepour - 2000
5	Density estimation with con dence sets exempli ed by superclusters and voids in the galaxies - Roeder - 1990
4	Asymptotic properties of maximum likelihood estimates in the mixed Poisson model - Lambert, Tierney - 1984
4	Penalized minimum distance estimates in finite mixture models”,Canadian - Chen, Kalbflisch - 1996
4	sampling methods for stick breaking priors - Gibbs - 2001
3	Modelling the Distribution of Stamp Paper Thickness via Finite Normal Mixtures: The 1872 Hidalgo Stamp Issue of Mexico Revisited - Basford, McLachlan, et al. - 1997
3	The consistency of a smoothed minimum distance estimate - Cao, Devroye - 1996
3	Optimal rate of convergence for mixture models - Chen - 1995
3	Generalized Weighted Chinese Restaurant and SIS Stick-Breaking Algorithms for Semiparametric Models,” unpublished manuscript - Ishwaran, James, et al. - 2001