Geodesic
On the accuracy of normal approximation for the densities of sums of independent identically distributed random variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 44 (1999) no. 4, pp. 853-861
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The structure of the nonuniform estimate of convergence rate in the local central limit theorem for the densities of sums of independent identically distributed random variables is made more accurate. The absolute constants are written out explicitly.
Keywords: local limit theorem, nonuniform estimates, $L_p$-metric. 
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     author = {Yu. V. Zhukov},
     title = {On the accuracy of normal approximation for the densities of sums of independent identically distributed random variables},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {853--861},
     year = {1999},
     volume = {44},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1999_44_4_a7/}
}
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Yu. V. Zhukov. On the accuracy of normal approximation for the densities of sums of independent identically distributed random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 44 (1999) no. 4, pp. 853-861. http://geodesic.mathdoc.fr/item/TVP_1999_44_4_a7/