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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

A new result on the convergence of nonhomogeneous stochastic chains


Author: Arunava Mukherjea
Journal: Trans. Amer. Math. Soc. 262 (1980), 505-520
MSC: Primary 60J10
DOI: https://doi.org/10.1090/S0002-9947-1980-0586731-3
MathSciNet review: 586731
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Abstract: Nonhomogeneous stochastic chains with a finite number of states are considered in this paper. Convergence of such chains is established here in terms of strong ergodicity of certain related chains of smaller size. These results are shown to be best possible and extend earlier results of Maksimov. Nonnegative idempotent matrices are also considered.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1980-0586731-3
Keywords: Nonhomogeneous Markov chain, basis, stochastic matrix, idempotent matrix, probability measures on semigroups, nonnegative matrix
Article copyright: © Copyright 1980 American Mathematical Society