An Isaac Newton Institute Workshop

CONSTRUCTION AND PROPERTIES OF BAYESIAN NONPARAMETRIC REGRESSION MODELS

Convexification and Multimodality of Random Probability Measures

Authors: Kokolakis George (Nat. Techn. Univ. of Athens), Kouvaras George (Nat. Techn. Univ. of Athens)

Abstract

In this work we develop and describe a new class of nonparametric prior distributions on the subspace of the random multivariate distributions. Our methodology is based on a variant of Khinchin's representation theorem for unimodal distributions extended to multimodal multivariate cases. Results using our approach in a bivariate setting with a random draw from a Dirichlet process are presented.

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