Geodesic
Some Remarks on Goncharov’s Paper from the Domain of Combinatorics
Teoriâ veroâtnostej i ee primeneniâ, Tome 4 (1959) no. 4, pp. 445-450 Cet article a éte moissonné depuis la source Math-Net.Ru

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This note contains some results on the asymptotic distribution of the random vector $(\nu_1,\nu_2,\dots,\nu _{k- 1},\nu_k)$, where $\nu_1,\nu_2,\dots,\nu _{k-1},\nu_k$ are the numbers of $A$-series of lengths $1,2,\dots,k-1$ greater or equal to $k$, respectively, in the simple homogeneous Markov chain with two states $A$ and $B$. The asymptotic distribution of the above-mentioned vector (when appropriately formed) is shown to be multivariate normal with the parameters of the distribution calculated. Possible extensions for a number of states greater than two are also discussed. 
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     title = {Some {Remarks} on {Goncharov{\textquoteright}s} {Paper} from the {Domain} of {Combinatorics}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {445--450},
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     volume = {4},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1959_4_4_a6/}
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V. I. Babkin; P. F. Belyaev; Yu. I. Maksimov. Some Remarks on Goncharov’s Paper from the Domain of Combinatorics. Teoriâ veroâtnostej i ee primeneniâ, Tome 4 (1959) no. 4, pp. 445-450. http://geodesic.mathdoc.fr/item/TVP_1959_4_4_a6/