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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2015, Volume 18, Number 2, Pages 191–200
DOI: https://doi.org/10.15372/SJNM20150207 (Mi sjvm576) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Calculation of the number of states in binary Markov stochastic models

L. Ya. Savelievab

a Sobolev Institute Mathematics of SB RAS, 4 Acad. Koptyug pr., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2 Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.15372/SJNM20150207
Abstract: This paper derives exact and approximate formulas for the distribution, average values and variances of the number of units on the segments of binary Markov sequences. Various ways to calculate these formulas are proposed. Estimates of the errors are given. An example of the calculation for a binary Markov model of the precipitation process is presented.
Key words: stochastic model, binary Markov chain, distribution, generating function, mean, variance.
Received: 26.12.2013
Revised: 28.02.2014
English version:
Numerical Analysis and Applications, 2015, Volume 8, Issue 2, Pages 159–167
DOI: https://doi.org/10.1134/S199542391502007X
Bibliographic databases:
Document Type: Article
UDC: 519.21+519.61
Language: Russian
Citation: L. Ya. Saveliev, “Calculation of the number of states in binary Markov stochastic models”, Sib. Zh. Vychisl. Mat., 18:2 (2015), 191–200; Num. Anal. Appl., 8:2 (2015), 159–167
Citation in format AMSBIB
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\jour Num. Anal. Appl.
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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