Constructions for a bivariate beta distribution
Methodology
2014-09-17 v2 Statistics Theory
Statistics Theory
Abstract
The beta distribution is a basic distribution serving several purposes. It is used to model data, and also, as a more flexible version of the uniform distribution, it serves as a prior distribution for a binomial probability. The bivariate beta distribution plays a similar role for two probabilities that have a bivariate binomial distribution. We provide a new multivariate distribution with beta marginal distributions, positive probability over the unit square, and correlations over the full range. We discuss its extension to three or more dimensions.
Cite
@article{arxiv.1406.5881,
title = {Constructions for a bivariate beta distribution},
author = {Ingram Olkin and Thomas A. Trikalinos},
journal= {arXiv preprint arXiv:1406.5881},
year = {2014}
}
Comments
10 pages, 1 table, 1 figure