A combinatorial approach to calculation of moments of characteristics of runs in ternary Markov sequences

L. Ya Savelyev; S. V. Balakin

doi:10.1515/DMA.2011.004

A combinatorial approach to calculation of moments of characteristics of runs in ternary Markov sequences

L. Ya Savelyev, S. V. Balakin

Centre for Global Business

Research output: Contribution to journal › Article › Research › peer-review

2 Citations (Scopus)

Abstract

We describe the marginal and joint distributions of the numbers of values and the numbers of runs in ternary Markov sequences. A relative simplicity of such sequences permits to derive exact formulas for means, variances, and covariances with the use of direct combinatorial calculations.

Original language	English
Pages (from-to)	47-67
Number of pages	21
Journal	Discrete Mathematics and Applications
Volume	21
Issue number	1
DOIs	https://doi.org/10.1515/DMA.2011.004
Publication status	Published - Mar 2011

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abstract = "We describe the marginal and joint distributions of the numbers of values and the numbers of runs in ternary Markov sequences. A relative simplicity of such sequences permits to derive exact formulas for means, variances, and covariances with the use of direct combinatorial calculations.",

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A combinatorial approach to calculation of moments of characteristics of runs in ternary Markov sequences

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