Götze, F.; Zaitsev, A. Yu. Approximation of convolutions by accompanying laws without centering. (English) Zbl 1077.60004 Zap. Nauchn. Semin. POMI 320, 44-53 (2004); translation in J. Math. Sci., New York 137, No. 1, 4510-4515 (2006). The aim of this paper is to give a sharpening of a result of L. LeCam [in: Bernoulli-Bayes-Laplace Anniversary Vol., 179–202 (1965; Zbl 0139.35203)], which estimates the rate of approximation in the Kolmogorov distance for distributions of sums of independent random variables. Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) Cited in 3 Documents MSC: 60B10 Convergence of probability measures 60G50 Sums of independent random variables; random walks Keywords:accompanying compound Poisson distribution; concentration function; distribution function; Kolmogorov distance Citations:Zbl 0139.35203 PDFBibTeX XMLCite \textit{F. Götze} and \textit{A. Yu. Zaitsev}, Zap. Nauchn. Semin. POMI 320, 44--53 (2004; Zbl 1077.60004); translation in J. Math. Sci., New York 137, No. 1, 4510--4515 (2006) Full Text: EuDML