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A combinatorial approach to calculation of moments of characteristics of runs in ternary Markov sequences
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L. Ya. Savelyev
Published/Copyright:
March 29, 2011
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.
Received: 2010-11-16
Published Online: 2011-03-29
Published in Print: 2011-March
© de Gruyter 2011
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Articles in the same Issue
- On the maximum size of a tree in a random unlabelled unrooted forest
- Asymptotic normality of the number of values of m-dependent random variables which occur a given number of times
- Limit theorems for the joint distribution of component sizes of a random mapping with a known number of components
- A combinatorial approach to calculation of moments of characteristics of runs in ternary Markov sequences
- The critical ω-foliated τ-closed formations of finite groups
- On the semigroups of endomorphisms of direct products of commutative Moufang loops
- The Voronoi polyhedra of the rooted lattice E6 and of its dual lattice
- Calculation of the characteristic polynomial of a matrix
- A case of insolubility of the problem of equivalence of programs
