Inference for Mixtures of Finite Polya Tree Models

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Robustifying Generalized Linear Mixed Models Using a New Class of Mixtures of Multivariate Polya Trees (2009, methodology): “The nonparametric extension of generalized linear mixed models (GLMM) has been the subject of much research interest from a Bayesian perspective (Bush and MacEachern 1996; Mukhopadhyay and Gelfand 1997; Müller and Rosner 1997; Walker and Mallick 1997; Kleinman and Ibrahim 1998a, 1998b; Hanson 2006; ”
Optional P\'{o}lya tree and Bayesian inference (2010, methodology): “Ways to attenuate the dependency of Pólya trees on the partition include mixing the base measure used to define the tree [11, 14, 15], random perturbation of the dividing boundary in the partition of intervals [19] and the use of positively correlated variables for the conditional probabilities at e”
Two-sample Bayesian Nonparametric Hypothesis Testing (2009, methodology): “This is a well-known phenomenon of Pólya tree priors and some interesting directions to mitigate its effects can be found in Hanson and Johnson (2002); Paddock et al. (2003); Hanson (2006).”