Yu. A. Alpin, V. S. Alpina, “On the normal form of a stochastic matrix”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2012, Volume 154, Book 2,Pages <nobr>60

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On the normal form of a stochastic matrix

Yu. A. Alpin^a, V. S. Alpina^b

^a Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University
^b Kazan State Technological University

Abstract: The normal form of a Markov chain's stochastic matrix is defined based on the concepts of state compatibility and safety. Compared to the classical normal form it contains more information for defining asymptotic equivalence of states.

Keywords: stochastic matrix, normal form, Markov chain.

UDC: 519.6

Received: 24.01.2012