Conditional Probabilities of Multivariate Poisson Distributions

TL;DR

This paper explores efficient methods for computing conditional probabilities in multivariate Poisson distributions, building upon prior work to improve computational speed for fixed linear combinations.

Contribution

It extends Sontag and Zeilberger's work by providing new techniques for faster computation of conditional probabilities in multivariate Poisson models.

Findings

Enhanced algorithms for conditional probability computation

Reduced computational complexity for fixed linear combinations

Improved efficiency over previous methods

Abstract

Multivariate Poisson distributions have numerous applications. Fast computation of these distributions, holding constant a fixed set of linear combinations of these variables, has been explored by Sontag and Zeilberger. This elaborates on their work.