Some representations of the multivariate Bernoulli and binomial distributions

Abstract

Multivariate but vectorized versions for Bernoulli and binomial distributions are established using the concept of Kronecker product from matrix calculus. The multivariate Bernoulli distribution entails a parameterized model, that provides an alternative to the traditional log-linear model for binary variables.multivariate Bernoulli distribution multivariate binomial distribution log-linear models categorical data