Titlebook: Denumerable Markov Chains; with a chapter of Ma John G. Kemeny,J. Laurie Snell,Anthony W. Knapp Textbook 1976Latest edition Springer Scienc

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Paul Turner,Glyn Volans,Heather WisemanIn this chapter we consider a natural abstraction of the idea of a fair game in gambling. We shall give several applications of the basic result, the Martingale Convergence Theorem.

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Paul Turner,Glyn Volans,Heather WisemanThroughout this chapter . is a recurrent chain which is either null or noncyclic ergodic. For such a chain, lim. . always exists; we let . = lim ..

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Stochastic Processes,We shall introduce the concept of a stochastic process in this chapter and develop the basic tools needed to treat the processes. Before the formal development, we shall indicate the intuitive ideas underlying the formal definitions.

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