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Weak Convergence of a Dirichlet-Multinomial Process
gmj, 2003Abstract We present a random probability distribution which approximates, in the sense of weak convergence, the Dirichlet process and supports a Bayesian resampling plan called a proper Bayesian bootstrap.
MULIERE, PIETRO, SECCHI P.
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Computations of Mixtures of Dirichlet Processes
SIAM Journal on Scientific and Statistical Computing, 1986The computation of Bayes estimators based on mixtures of Dirichlet processes is treated. These estimators may be written as ratios of two multidimensional integrals, each of which may be decomposed into a weighted average of products of one-dimensional integrals.
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Variational learning for Dirichlet process mixtures of Dirichlet distributions and applications
Multimedia Tools and Applications, 2012In this paper, we propose a Bayesian nonparametric approach for modeling and selection based on a mixture of Dirichlet processes with Dirichlet distributions, which can also be seen as an infinite Dirichlet mixture model. The proposed model uses a stick-breaking representation and is learned by a variational inference method.
Wentao Fan 0001, Nizar Bouguila
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Tree-Structured Hierarchical Dirichlet Process
2019In many domains, document sets are hierarchically organized such as message forums having multiple levels of sections. Analysis of latent topics within such content is crucial for tasks like trend and user interest analysis. Nonparametric topic models are a powerful approach, but traditional Hierarchical Dirichlet Processes (HDPs) are unable to fully ...
Alam, Md Hijbul +4 more
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A characterization of the Dirichlet process
Statistics & Probability Letters, 1991The purpose of this note is to point out that if the posterior mean of a random probability \(P\) given a sample \(X_ 1,\ldots,X_ n\) from \(P\) is linear in the sample empirical distribution function, then \(P\) is a Dirichlet random probability.
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Bayesian Nonparametric Spatial Modeling With Dirichlet Process Mixing
Journal of the American Statistical Association, 2005Alan Gelfand +2 more
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Distribution Functions of Means of a Dirichlet Process
Annals of Statistics, 1990Eugenio Regazzini
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On the posterior distribution of a dirichlet process given randomly right censored observations
Stochastic Processes and Their Applications, 1977V Susarla
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