89 citations · 109 across the 8 of their papers we have counts for
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math.ST2022
Consistency of mixture models with a prior on the number of components
Jeffrey W. Miller
This article establishes general conditions for posterior consistency of Bayesian finite mixture models with a prior on the number of components. That is, we provide sufficient con…
math.ST2018★ 7 cited
A detailed treatment of Doob's theorem
Jeffrey W. Miller
Doob's theorem provides guarantees of consistent estimation and posterior consistency under very general conditions. Despite the limitation that it only guarantees consistency on a…
math.ST2013★ 89 cited
A simple example of Dirichlet process mixture inconsistency for the number of components
Jeffrey W. Miller, Matthew T. Harrison
For data assumed to come from a finite mixture with an unknown number of components, it has become common to use Dirichlet process mixtures (DPMs) not only for density estimation,…