This article is cited in 5 papers

Short Communications

Almost sure limit theorems for the Pearson statistic

I. Fazekas^a, A. N. Chuprunov<sup>b

a</sup> Institute of Mathematics, University of Debrecen
^b Kazan State University

Abstract: Almost sure versions of limit theorems by Kruglov for the Pearson $\chi^2$-statistic are obtained.

Keywords: almost sure limit theorem, functional limit theorem, Pearson's $\chi^2$-statistic.

Received: 10.04.2001
Revised: 17.01.2002

DOI: 10.4213/tvp307

 English version: Theory of Probability and its Applications, 2004, 48:1, 140–147

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