A NEW KIND OF THE LAW OF THE ITERATED LOGARITHM FOR PRODUCT OF A CERTAIN PARTIAL SUMS

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 48, Issue 5, 2011, pp.1041-1046
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2011.48.5.1041

Title & Authors

A NEW KIND OF THE LAW OF THE ITERATED LOGARITHM FOR PRODUCT OF A CERTAIN PARTIAL SUMS

Zang, Qing-Pei;

Zang, Qing-Pei;

Abstract

Let {X, } be a sequence of independent and identically distributed positive random variables. Denote and for n 1, . Under the assumption of the finiteness of the second moments, we derive a type of the law of the iterated logarithm for and the limit point set for its certain normalization.

Keywords

law of the iterated logarithm;product of partial sums;strong law of large numbers;

Language

English

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