Geodesic
Stability theorems and the estimates of the rate of convergence of the components of factorisation for walks defined on the Markov chains
Teoriâ veroâtnostej i ee primeneniâ, Tome 25 (1980) no. 2, pp. 329-338 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper deals with the sums of random variables defined on a homogeneous finite Markov chain. Estimates of the rate of convergence of the components of factorisation are obtained. As a consequence the estimates in stability theorems for some boundary problems are established. 
@article{TVP_1980_25_2_a7,
     author = {K. A. Borovkov},
     title = {Stability theorems and the estimates of the rate of convergence of the components of factorisation for walks defined on the {Markov} chains},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {329--338},
     year = {1980},
     volume = {25},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1980_25_2_a7/}
}
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K. A. Borovkov. Stability theorems and the estimates of the rate of convergence of the components of factorisation for walks defined on the Markov chains. Teoriâ veroâtnostej i ee primeneniâ, Tome 25 (1980) no. 2, pp. 329-338. http://geodesic.mathdoc.fr/item/TVP_1980_25_2_a7/