Geodesic
On the limit theorems for sums of dependent random variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 24 (1979) no. 3, pp. 542-552

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In the article some limit theorems for the sums of dependent random variables are proved. We find also the limit distribution of the number of $m$-repetitions in the subsequence of generalized polinomial schemes and prove the asymptotic normality of the number of common undersubsequences of fixed length in subsequences of generalized polinomial schemes. 
@article{TVP_1979_24_3_a7,
     author = {A. F. Ron\v{z}in},
     title = {On the limit theorems for sums of dependent random variables},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {542--552},
     publisher = {mathdoc},
     volume = {24},
     number = {3},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1979_24_3_a7/}
}
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A. F. Ronžin. On the limit theorems for sums of dependent random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 24 (1979) no. 3, pp. 542-552. http://geodesic.mathdoc.fr/item/TVP_1979_24_3_a7/