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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive
Teor. Veroyatnost. i Primenen., 1994 Volume 39, Issue 4, Pages 716–730 (Mi tvp3849)
This article is cited in 1 paper

Dual processes and ergodic type theorems for Markov chains in the scheme of series

Yu. A. Velikii, A. I. Motsa, D. S. Sil'vestrova

a Institut of Mathematical Statistics, University of Umeå, Umeå, Sweden

Abstract: Resolvent type necessary and sufficient conditions of weak convergence and convergence of moments are investigated in the scheme of series, for non-negative additive functionals over Markov chains with an arbitrary phase space.

Keywords: ergodic theorems, Markov chains, additive functionals, resolvents.

Received: 03.09.1990


 English version: Theory of Probability and its Applications, 1994, 39:4, 642–653

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