Geodesic
On Limit Theorems for Stationary Processes
Teoriâ veroâtnostej i ee primeneniâ, Tome 7 (1962) no. 2, pp. 213-219

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We give some new conditions for asymptotic normality of the time averages of stationary process. The methods of this paper were used earlier (see [3], 2) for proving the central limit. theorem for time means of functions given on the phase space of some classical dynamical systems. 
@article{TVP_1962_7_2_a9,
     author = {Ya. G. Sinaǐ},
     title = {On {Limit} {Theorems} for {Stationary} {Processes}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {213--219},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {1962},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1962_7_2_a9/}
}
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Ya. G. Sinaǐ. On Limit Theorems for Stationary Processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 7 (1962) no. 2, pp. 213-219. http://geodesic.mathdoc.fr/item/TVP_1962_7_2_a9/