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Theory of Probability and Its Applications
Article . 1961 . Peer-reviewed
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https://dx.doi.org/10.1137/110...
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Inhomogeneous Markov Chains

Inhomogeneous Markov chains
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1961 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:Theory of Probability & Its Applications, volume 6, pages 178-185 (issn: 0040-585X, eissn: 1095-7219, Copyright policy )
Authors: Sarymsakov, T. A.;

doi: 10.1137/1106022

Inhomogeneous Markov Chains

Abstract

This paper discusses some new results related to ergodic and limit theorems and also to the repeated logarithm low for inhomogeneous Markov chains. Theorems are formulated and proved for conditions that were not treated in the literature; some estimates obtained previously by S. N. Bernshtein are employed.Lemma 1 is of greatest importance in the paper.

Keywords

probability theory

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
15
Top 10%
Top 10%
Average
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