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Monotone matrices and monotone Markov processes

A stochastic matrix is "monotone" [4] if its row-vectors are stochastically increasing. Closure properties, characterizations and the availability of a second maximal eigenvalue are developed. Such monotonicity is present in a variety of processes in discrete and continous time. In particular, birth-death processes are monotone. Conditions for the sequential monotonicity of a process are given and related inequalities presented.
Year of publication:
1977
Authors: Keilson, Julian ; Kester, Adri
Published in:
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 5.1977, 3, p. 231-241
Publisher: Elsevier
Keywords: monotone Markov chains domination continuous time chains time-reversibility birth-death processes
Type of publication: Article
Source:
Persistent link: https://www.econbiz.de/10008874446
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