Geodesic
On a refinement of the central limit theorem for sums of independent random indicators
Teoriâ veroâtnostej i ee primeneniâ, Tome 38 (1993) no. 3, pp. 540-552

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Explicit and rather tight upper bounds for the distance (in the uniform metric) between the distribution function of a sum of independent random indicators and its asymptotic expansion are obtained.
Keywords: random indicators, nonhomogenuous Bernoulli scheme, asymptotic expansion, closeness of approximation. 
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     author = {V. G. Mikhailov},
     title = {On a refinement of the central limit theorem for sums of independent random indicators},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {540--552},
     publisher = {mathdoc},
     volume = {38},
     number = {3},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1993_38_3_a4/}
}
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V. G. Mikhailov. On a refinement of the central limit theorem for sums of independent random indicators. Teoriâ veroâtnostej i ee primeneniâ, Tome 38 (1993) no. 3, pp. 540-552. http://geodesic.mathdoc.fr/item/TVP_1993_38_3_a4/