Some representations of the multivariate Bernoulli and binomial distributions
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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