An empirical classification procedure for nonparametric mixture models

2020 ◽  
Vol 49 (3) ◽  
pp. 924-952 ◽  
Author(s):  
Qiang Zhao ◽  
Rohana J. Karunamuni ◽  
Jingjing Wu
Keyword(s):  
Mixture Models ◽  
Classification Procedure ◽  
Nonparametric Mixture

Reflections on Murray Aitkin's contributions to nonparametric mixture models and Bayes factors

2021 ◽  
pp. 1471082X2098131
Author(s):  
Alan Agresti ◽  
Francesco Bartolucci ◽  
Antonietta Mira
Keyword(s):  
Bayesian Inference ◽  
Mixture Models ◽  
Random Effects ◽  
Bayes Factor ◽  
Bayes Factors ◽  
Posterior Mean ◽  
Bayesian Paradigm ◽  
Research Publications ◽  
Nonparametric Mixture ◽  
Mixed Modelling

We describe two interesting and innovative strands of Murray Aitkin's research publications, dealing with mixture models and with Bayesian inference. Of his considerable publications on mixture models, we focus on a nonparametric random effects approach in generalized linear mixed modelling, which has proven useful in a wide variety of applications. As an early proponent of ways of implementing the Bayesian paradigm, Aitkin proposed an alternative Bayes factor based on a posterior mean likelihood. We discuss these innovative approaches and some research lines motivated by them and also suggest future related methodological implementations.

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