Geodesic
On an Exact Estimate for a Local Theorem
Teoriâ veroâtnostej i ee primeneniâ, Tome 4 (1959) no. 2, pp. 229-233

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This paper deals with the convergence of the density function for the sum of identically distributed and appropriately normalized independent random variables in the metric $L_p(-\infty,+\infty)$, $p\geq1$, to the normal density function. An exact expression for the fundamental term of the remainder is given. 
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     author = {S. Kh. Sirazhdinov},
     title = {On an {Exact} {Estimate} for a {Local} {Theorem}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {229--233},
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {1959},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1959_4_2_a10/}
}
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S. Kh. Sirazhdinov. On an Exact Estimate for a Local Theorem. Teoriâ veroâtnostej i ee primeneniâ, Tome 4 (1959) no. 2, pp. 229-233. http://geodesic.mathdoc.fr/item/TVP_1959_4_2_a10/