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Sequential limits in Markov set-chains

Published online by Cambridge University Press:  14 July 2016

D. J. Hartfiel
D. J. Hartfiel*
Affiliation:
Texas A&M University
*
∗ Postal address: Mathematics Department, Texas A&M University, College Station, TX 77843–3368, USA.
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Abstract

Let T be a non-empty subset of η X n stochastic matrices. DefineThe sequence T1, T2, · ·· is called a Markov set-chain. An important problem in this area is to determine when such a set-chain converges. This paper gives a notion of a sequential limiting set and shows how it can be used to obtain a result on set-chain convergence.

Keywords

PRODUCTS OF STOCHASTIC MATRIX SETSCONVERGENCE IN THE HAUSDORFF METRICNON-HOMOGENEOUS MARKOV CHAINSWEAKLY ERGODIC

Information

Type
Short Communications
Information
Journal of Applied Probability , Volume 28 , Issue 4 , December 1991 , pp. 910 - 913
Copyright
Copyright © Applied Probability Trust 1991 

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References

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