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Total positivity and the embedding problem for Markov chains

Published online by Cambridge University Press:  24 October 2008

Halina Frydman  and
Burton Singer
Halina Frydman
Affiliation:
New York University
Burton Singer
Affiliation:
Columbia University and Rockefeller University
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Abstract

We prove that the class of transition matrices for the finite state time-inhomogeneous birth and death processes coincides with the class of non-singular totally positive stochastic matrices. Thus we obtain a complete solution to the embedding problem for this class of Markov chains.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 86 , Issue 2 , September 1979 , pp. 339 - 344
Copyright
Copyright © Cambridge Philosophical Society 1979

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References

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