This article is cited in 8 papers

Short Communications

On the probability of the existenceof a localized basic state for a discrete Schrödinger equation with random potential, perturbed by a compact operator

J. Sunklodas

Institute of Mathematics and Informatics

Abstract: We derive a lower bound of the rate of convergence in the central limit theorem for real $m$-dependent random fields under the finiteness of the fifth absolute moments of summands.

Keywords: central limit theorem, convergence rate, lower bound, $m$-dependent random field.

Received: 26.05.1997

DOI: 10.4213/tvp888

 English version: Theory of Probability and its Applications, 1999, 43:1, 162–169

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