Campus Units

Industrial and Manufacturing Systems Engineering, Statistics

Document Type

Article

Publication Version

Published Version

Publication Date

2021

Journal or Book Title

Statistical Analysis and Data Mining

DOI

10.1002/sam.11528

Abstract

We propose tractable symmetric exponential families of distributions for multivariate vectors of 0's and 1's in dimensions, or what are referred to in this paper as binary vectors, that allow for nontrivial amounts of variation around some central value . We note that more or less standard asymptotics provides likelihood-based inference in the one-sample problem. We then consider mixture models where component distributions are of this form. Bayes analysis based on Dirichlet processes and Jeffreys priors for the exponential family parameters prove tractable and informative in problems where relevant distributions for a vector of binary variables are clearly not symmetric. We also extend our proposed Bayesian mixture model analysis to datasets with missing entries. Performance is illustrated through simulation studies and application to real datasets.

Comments

This article is published as Chakraborty, Abhishek, and Stephen B. Vardeman. "Modeling and inference for mixtures of simple symmetric exponential families of‐dimensional distributions for vectors with binary coordinates." Statistical Analysis and Data Mining (2021). doi:10.1002/sam.11528.

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Copyright Owner

The Authors

Language

en

File Format

application/pdf

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