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

Access to Document

10.1515/DMA.2011.004

Cite this

@article{88dff08750324ac0b94cea992f4ea3e7,

title = "A combinatorial approach to calculation of moments of characteristics of runs in ternary Markov sequences",

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.",

author = "Savelyev, \{L. Ya\} and Balakin, \{S. V.\}",

note = "Funding Information: This research was supported by the Russian Foundation for Basic Research, grant 10–01– 00384.",

year = "2011",

month = mar,

doi = "10.1515/DMA.2011.004",

language = "English",

volume = "21",

pages = "47--67",

journal = "Discrete Mathematics and Applications",

issn = "0924-9265",

publisher = "Walter de Gruyter",

number = "1",

}

TY - JOUR

T1 - A combinatorial approach to calculation of moments of characteristics of runs in ternary Markov sequences

AU - Savelyev, L. Ya

AU - Balakin, S. V.

N1 - Funding Information: This research was supported by the Russian Foundation for Basic Research, grant 10–01– 00384.

PY - 2011/3

Y1 - 2011/3

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/79953299361

U2 - 10.1515/DMA.2011.004

DO - 10.1515/DMA.2011.004

M3 - Article

AN - SCOPUS:79953299361

SN - 0924-9265

VL - 21

SP - 47

EP - 67

JO - Discrete Mathematics and Applications

JF - Discrete Mathematics and Applications

IS - 1

ER -

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

Abstract

Access to Document

Other files and links

Cite this