Discrete Dynamics in Nature and Society
Volume 2008 (2008), Article ID 140548, 10 pages
doi:10.1155/2008/140548
Research Article
On Chung-Teicher Type Strong Law of Large Numbers for ρ∗-Mixing Random Variables
Department of Applied Mathematics, Lublin University of Technology, Nadbystrzycka 38 D, 20-618 Lublin, Poland
Received 23 December 2007; Revised 5 March 2008; Accepted 20 March 2008
Academic Editor: Stevo Stevic
Copyright © 2008 Anna Kuczmaszewska. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this paper the classical strong laws of large number of Kolmogorov, Chung, and Teicher for independent random variables were generalized on the case of ρ∗-mixing sequence. The main result was applied to obtain a Marcinkiewicz SLLN.