Geodesic
Asymptotic normality of sums of dependent random variables, considered by B. A. Sevast'yanov
Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 1, pp. 184-189 Cet article a éte moissonné depuis la source Math-Net.Ru

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Sufficient conditions are found under which the random variable $$ (\xi-\mathbf E\xi)/\sqrt{\mathbf E\xi} $$ is asymptotically normal, where $\displaystyle\xi=\sum_1^n\eta_i$ and $\eta_i$, $i=1,\dots,n$, are weakly dependent 0–1 random variables. 
@article{TVP_1976_21_1_a19,
     author = {A. S. Ambrosimov},
     title = {Asymptotic normality of sums of dependent random variables, considered by {B.} {A.~Sevast'yanov}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {184--189},
     year = {1976},
     volume = {21},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1976_21_1_a19/}
}
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A. S. Ambrosimov. Asymptotic normality of sums of dependent random variables, considered by B. A. Sevast'yanov. Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 1, pp. 184-189. http://geodesic.mathdoc.fr/item/TVP_1976_21_1_a19/