Geodesic
A combinatorial approach to calculation of moments of characteristics of runs in ternary Markov sequences
Diskretnaya Matematika, Tome 23 (2011) no. 2, pp. 76-92

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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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     author = {L. Ya. Savelyev and S. V. Balakin},
     title = {A combinatorial approach to calculation of moments of characteristics of runs in ternary {Markov} sequences},
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L. Ya. Savelyev; S. V. Balakin. A combinatorial approach to calculation of moments of characteristics of runs in ternary Markov sequences. Diskretnaya Matematika, Tome 23 (2011) no. 2, pp. 76-92. http://geodesic.mathdoc.fr/item/DM_2011_23_2_a6/