V. E. Bening, N. K. Galieva, V. Yu. Korolev, “On bounds for the concentration functions of regular statistics constructed from samples with random sizes”, Inform. Primen., 2013, Volume 7, Issue 1,Pages <nobr>116

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On bounds for the concentration functions of regular statistics constructed from samples with random sizes

V. E. Bening^ab, N. K. Galieva^c, V. Yu. Korolev^ab

^a Faculty of Computational Mathematics and Cybernetics, M. V. Lomonosov Moscow State University
^b IPI RAN
^c Kazakhstan Branch, M. V. Lomonosov Moscow State University

Abstract: Two-sided bounds for the concentration functions of regular statistics constructed from samples with random sizes are constructed.

Keywords: concentration function; random sum; asymptotically normal statistic; Student distribution; Laplace distribution.