S. G. Bobkov, F. Götze, “On the central limit theorem along subsequences of noncorrelated observations”, Teor. Veroyatnost. i Primenen., 2003, Volume 48, Issue 4,Pages <nobr>745

This article is cited in 4 papers

On the central limit theorem along subsequences of noncorrelated observations

S. G. Bobkov^a, F. Götze^b

^a University of Minnesota, School of Mathematics
^b Bielefeld University

Abstract: We study the asymptotic behavior of distributions of normalized and self-normalized sums along suitable subsequences of noncorrelated random variables.

Keywords: concentration, typical distributions, central limit theorem, self-normalized statistics, orthogonal polynomials.

Received: 10.07.2003

Language: English

DOI: 10.4213/tvp254