I. G. Shevtsova, “Some estimates for characteristic functions with an application to sharpening the Mises inequality”, Inform. Primen., 2009, Volume 3, Issue 3,Pages <nobr>69

This article is cited in 4 papers

Some estimates for characteristic functions with an application to sharpening the Mises inequality

I. G. Shevtsova

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: New estimates are constructed for characteristic functions of distributions with finite absolute moments of order $2+\delta$, $0<\delta<1$. TheMises moment inequality for lattice distributions is also improved.

Keywords: Fourier transform; characteristic function; symmetrization; convolution; lattice distribution; arithmetic distribution; span.