A Symbolic Computational Approach to a Problem Involving Multivariate Poisson Distributions
Probability
2009-06-08 v1 Combinatorics
Quantitative Methods
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.
Cite
@article{arxiv.0906.1141,
title = {A Symbolic Computational Approach to a Problem Involving Multivariate Poisson Distributions},
author = {Eduardo Sontag and Doron Zeilberger},
journal= {arXiv preprint arXiv:0906.1141},
year = {2009}
}
Comments
19 pages, accompanied by a maple package MVPoisson downloadable from http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/mvp.html