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On the Kolmogorov-Rogozin inequality for the concentration function. (English) Zbl 0142.14702


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[1] Kolmogorov, A., Two uniform limit theorems for sums of independent random variables, Theor. Probab. Appl., 1, 384-394 (1956) · Zbl 0079.34502
[2] Kolmogorov, A., Sur les propriétés des fonctions de concentration de M. P. Lévy, Ann. Inst. Henri Poincaré XVI, 1, 27-34 (1958) · Zbl 0105.11804
[3] Rogozin, B. A., An estimate for concentration functions, Theor. Probab. Appl., 6, 94-97 (1961) · Zbl 0106.34002
[4] Rogozin, B. A., On the increase of dispersion of sums of independent random variables, Theor. Probab. Appl., 6, 97-99 (1961) · Zbl 0106.34003
[5] Rosén, B., On the asymptotic distribution of sums of independent random variables, Ark. Mat., 4, 323-332 (1961) · Zbl 0103.11902
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