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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 1999 Volume 44, Issue 4, Pages 846–852 (Mi tvp1069)

This article is cited in 3 papers

Short Communications

On strong attraction of stationary sequences to a normal law

A. G. Grin'

Omsk State University

Abstract: For stationary sequences satisfying the uniformly strong mixing condition, general conditions of attraction to the normal law are obtained in terms of distributions of particular summands. The main result of this paper generalizes all known results of this kind in the field.

Keywords: stationary sequences, uniformly strong mixing, extremal tests, strong attraction to the normal law.

Received: 25.12.1997

DOI: 10.4213/tvp1069


 English version:
Theory of Probability and its Applications, 2000, 44:4, 768–775

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