This article is cited in 2 papers

Short Communications

On the accuracy of normal approximation for the densities of sums of independent identically distributed random variables

Yu. V. Zhukov

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

Abstract: The structure of the nonuniform estimate of convergence rate in the local central limit theorem for the densities of sums of independent identically distributed random variables is made more accurate. The absolute constants are written out explicitly.

Keywords: local limit theorem, nonuniform estimates, $L_p$-metric.

Received: 19.01.1998

DOI: 10.4213/tvp1070

 English version: Theory of Probability and its Applications, 2000, 44:4, 785–793

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