dorsal/arxiv
View SchemaEquivalence of Markov's Symbolic Sequences to Two-Sided Chains
| Authors | S. S. Apostolov, Z. A. Mayzelis, O. V. Usatenko, V. A. Yampol'skii |
|---|---|
| Categories | |
| ArXiv ID | physics/0603172 |
| URL | https://arxiv.org/abs/physics/0603172 |
Abstract
A 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.
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"abstract": "A new object of the probability theory, two-sided chain of events (symbols),\nis introduced. A theory of multi-steps Markov chains with long-range memory,\nproposed earlier in Phys. Rev. E 68, 06117 (2003), is developed and used to\nestablish the correspondence between these chains and two-sided ones. The\nMarkov chain is proved to be statistically equivalent to the definite two-sided\none and vice versa. The results obtained for the binary chains are generalized\nto the chains taking on the arbitrary number of states.",
"arxiv_id": "physics/0603172",
"authors": [
"S. S. Apostolov",
"Z. A. Mayzelis",
"O. V. Usatenko",
"V. A. Yampol\u0027skii"
],
"categories": [
"physics.data-an",
"physics.gen-ph"
],
"title": "Equivalence of Markov\u0027s Symbolic Sequences to Two-Sided Chains",
"url": "https://arxiv.org/abs/physics/0603172"
},
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