Geodesic
On a Local Limit Theorem for Lattice Distributions
Teoriâ veroâtnostej i ee primeneniâ, Tome 2 (1957) no. 2, pp. 275-281 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let sequence (1) of independent random variables assuming only integral values satisfy conditions (A) and (B). The following proposition is proved: In order for correlation (2) to hold true for a sequence differing from (1) only by a finite number of terms, it is necessary and sufficient for (3) to be satisfied. 
@article{TVP_1957_2_2_a7,
     author = {Yu. A. Rozanov},
     title = {On a {Local} {Limit} {Theorem} for {Lattice} {Distributions}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {275--281},
     year = {1957},
     volume = {2},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1957_2_2_a7/}
}
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Yu. A. Rozanov. On a Local Limit Theorem for Lattice Distributions. Teoriâ veroâtnostej i ee primeneniâ, Tome 2 (1957) no. 2, pp. 275-281. http://geodesic.mathdoc.fr/item/TVP_1957_2_2_a7/