Some Comments on Quasi-Birth-and-Death Processes and Matrix Measures

We explore the relation between matrix measures and quasi-birth-and-death processes. We derive an integral representation of the transition function in terms of a matrix-valued spectral measure and corresponding orthogonal matrix polynomials. We characterize several stochastic properties of quasi-bi...

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Bibliographic Details
Main Authors: Holger Dette, Bettina Reuther
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2010/730543