Abstract
During all of our discussion of Markov chains, we shall wish to confine ourselves to stochastic processes defined on a sequence space. We have shown that an arbitrary stochastic process may be considered as a process on a suitable Ω in which the outcome functions f n are coordinate functions. We see, therefore, that in a sense no generality is lost by discussing Markov chains in terms of sequence space.
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© 1976 Springer-Verlag New York Inc.
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Kemeny, J.G., Snell, J.L., Knapp, A.W. (1976). Properties of Markov Chains. In: Denumerable Markov Chains. Graduate Texts in Mathematics, vol 40. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9455-6_4
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DOI: https://doi.org/10.1007/978-1-4684-9455-6_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4684-9457-0
Online ISBN: 978-1-4684-9455-6
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