Probabilistic metric spaces induced by Markov chains

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1976 English Publisher:Springer Science and Business Media LLCJournal:Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, volume 35, pages 177-187 (issn: 0044-3719, eissn: 1432-2064,

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Authors: Moynihan, Richard;

doi: 10.1007/bf00533323

Probabilistic metric spaces induced by Markov chains

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Abstract

Let C be a collection of particles, each of which is independently undergoing the same Markov chain, and let d be a metric on the state space. Then, using transition probabilities, for distinct p, q in C, any time t and real x, we can calculate F pq (t) (x) = Pr [d (p,q)

Related Organizations

State University of New York
United States
Buffalo State College
United States

Keywords

Probability measures on topological spaces, Markov chains (discrete-time Markov processes on discrete state spaces)

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