A symbolic computation approach to a problem involving multivariate Poisson distributions

• Published in: Advances in applied mathematics Vol. 44; no. 4; pp. 359 - 377
• Main Authors: Sontag, Eduardo D., Zeilberger, Doron
• Format: Journal Article
• Language: English
• Published: San Diego, CA Elsevier Inc 01.05.2010; Elsevier
• Subjects: Algorithms; Computation; Exact sciences and technology; General mathematics; General, history and biography; Mathematical models; Mathematics; Networks; Numerical analysis; Numerical analysis. Scientific computation; Packages; Queues; Random variables; Sciences and techniques of general use; Statistics; Statistical method; Integer; Applied mathematics; Optimization method; Multivariate distribution; Symbolic computation; Algorithm; Random variable; Constrained optimization

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 Wilf–Zeilberger theory and associated algorithms. A symbolic...