Equivalence of Markov's Symbolic Sequences to Two-Sided Chains

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dc.creatorApostolov, S. S.
dc.creatorMayzelis, Z. A.
dc.creatorUsatenko, O. V.
dc.creatorYampol'skii, V. A.
dc.date2006-03-21
dc.date.accessioned2026-07-07T07:07:44Z
dc.date.available2026-07-07T07:07:44Z
dc.descriptionA new object of the probability theory, two-sided chain of events (symbols), is introduced. A theory of multi-steps Markov chains with long-range memory, proposed earlier in Phys. Rev. E 68, 06117 (2003), is developed and used to establish the correspondence between these chains and two-sided ones. The Markov chain is proved to be statistically equivalent to the definite two-sided one and vice versa. The results obtained for the binary chains are generalized to the chains taking on the arbitrary number of states.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/physics/0603172
dc.identifierhttp://arxiv.org/abs/physics/0603172
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110504
dc.subjectData Analysis, Statistics and Probability
dc.subjectGeneral Physics
dc.titleEquivalence of Markov's Symbolic Sequences to Two-Sided Chains
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