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Markov chains

L. D. Meshalkin
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L. D. Meshalkin: Moscow State University

Chapter 8 in Collection of problems in probability theory, 1973, pp 107-116 from Springer

Abstract: Abstract The problems of this chapter correspond basically to §§17–20 of the textbook by B. V. GNEDENKO. Consider the sequence of discrete random variables ζ1, …, ζ n , …, We will say that this sequence forms a Markov chain if for an arbitrary finite collection of integers n 1 0; b) for all i, Σ k p ik = 1. Matrices, for which conditions a) and b) are satisfied, are called stochastic matrices.

Keywords: Markov Chain; Transition Probability Matrix; Discrete Random Variable; White Ball; Stochastic Matrice (search for similar items in EconPapers)
Date: 1973
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DOI: 10.1007/978-94-010-2358-0_8

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