A Symbolic Computational Approach to a Problem Involving Multivariate Poisson Distributions
arXiv:0906.1141
Abstract
Multivariate Poisson random variables subject to linear integer constraints arise in several application areas, such as queuing and biomolecular networks. This note shows how to compute conditional statistics in this context, by employing WF Theory and associated algorithms. A symbolic computation package has been developed and is made freely available. A discussion of motivating biomolecular problems is also provided.
19 pages, accompanied by a maple package MVPoisson downloadable from http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/mvp.html