Geodesic
A~note on the central limit theorems for dependent random variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 1, pp. 134-140

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The paper contains a few limit theorems for stationary sequences $\{\xi_j\}$ under the condition $\rho(n)\to0$, where $\rho(n)$ denotes the maximal correlation coefficient between the past $\{\xi_j,j\le0\}$ and the future $\{\xi_j, j\ge n\}$ of the sequence $\{\xi_j\}$. 
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     author = {I. A. Ibragimov},
     title = {A~note on the central limit theorems for dependent random variables},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {134--140},
     publisher = {mathdoc},
     volume = {20},
     number = {1},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1975_20_1_a10/}
}
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I. A. Ibragimov. A~note on the central limit theorems for dependent random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 1, pp. 134-140. http://geodesic.mathdoc.fr/item/TVP_1975_20_1_a10/