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Teoriya Veroyatnostei i ee Primeneniya, 1993, Volume 38, Issue 3, Pages 540–552
(Mi tvp3964)
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This article is cited in 12 scientific papers (total in 12 papers)
On a refinement of the central limit theorem for sums of independent random indicators
V. G. Mikhailov Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
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.
Received: 04.09.1990
Citation:
V. G. Mikhailov, “On a refinement of the central limit theorem for sums of independent random indicators”, Teor. Veroyatnost. i Primenen., 38:3 (1993), 540–552; Theory Probab. Appl., 38:3 (1993), 479–489
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https://www.mathnet.ru/eng/tvp3964 https://www.mathnet.ru/eng/tvp/v38/i3/p540
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