Geodesic
A~Central Limit Theorem for a~Class of Dependent Random Variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 8 (1963) no. 1, pp. 89-94

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Random variables $x_1,x_2\ldots$ with the conditions $\mathbf{E}\{x_i | x_{j-1},\ldots\}$ are considered and two theorems on the normal convergence of sums $\sum_1^n x_j$ are established. 
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     author = {I. A. Ibragimov},
     title = {A~Central {Limit} {Theorem} for {a~Class} of {Dependent} {Random} {Variables}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     volume = {8},
     number = {1},
     year = {1963},
     language = {ru},
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}
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I. A. Ibragimov. A~Central Limit Theorem for a~Class of Dependent Random Variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 8 (1963) no. 1, pp. 89-94. http://geodesic.mathdoc.fr/item/TVP_1963_8_1_a6/