Geodesic
Limit distributions of a~random variable defined on a~Markov chain
Teoriâ veroâtnostej i ee primeneniâ, Tome 24 (1979) no. 3, pp. 628-632

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The paper deals with limit distributions of the number of vectors with a special structure in a sequence of trials connected in a simple homogeneous regular finite Markov chain. Theorems on convergence to the discrete and normal laws are proved. 
@article{TVP_1979_24_3_a20,
     author = {K. N. Maksimov},
     title = {Limit distributions of a~random variable defined on {a~Markov} chain},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {628--632},
     publisher = {mathdoc},
     volume = {24},
     number = {3},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1979_24_3_a20/}
}
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K. N. Maksimov. Limit distributions of a~random variable defined on a~Markov chain. Teoriâ veroâtnostej i ee primeneniâ, Tome 24 (1979) no. 3, pp. 628-632. http://geodesic.mathdoc.fr/item/TVP_1979_24_3_a20/