MATHEMATICA BOHEMICA, Vol. 132, No. 1, pp. 27-33 (2007)

Chover-type laws of the iterated logarithm for weighted sums of NA sequences

Guang-hui Cai

Guang-hui Cai, Department of Mathematics and Statistics, Zhejiang Gongshang University, Hangzhou 310035, P. R. China, e-mail: cghzju@163.com

Abstract: To derive a Baum-Katz type result, a Chover-type law of the iterated logarithm is established for weighted sums of negatively associated (NA) and identically distributed random variables with a distribution in the domain of a stable law in this paper.

Keywords: negatively associated sequence, laws of the iterated logarithm, weighted sum, stable law, Rosental type maximal inequality

Classification (MSC2000): 60F15, 62G50

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