Geodesic
On the rate of convergence in the central limit theorem for $m$-dependent random variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 24 (1979) no. 4, pp. 781-794

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An optimal estimate of the remainder in the central limit theorem for $m$-dependent random variables is obtained. 
@article{TVP_1979_24_4_a7,
     author = {V. V. \v{S}ergin},
     title = {On the rate of convergence in the central limit theorem for $m$-dependent random variables},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {781--794},
     publisher = {mathdoc},
     volume = {24},
     number = {4},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1979_24_4_a7/}
}
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V. V. Šergin. On the rate of convergence in the central limit theorem for $m$-dependent random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 24 (1979) no. 4, pp. 781-794. http://geodesic.mathdoc.fr/item/TVP_1979_24_4_a7/