Journal of Inequalities and Applications
Volume 2011 (2011), Article ID 157816, 8 pages
doi:10.1155/2011/157816
Research Article

On the Strong Laws for Weighted Sums of 𝜌 ∗ -Mixing Random Variables

Xing-Cai Zhou,1,2 Chang-Chun Tan,3 and Jin-Guan Lin1

1Department of Mathematics, Southeast University, Nanjing 210096, China
2Department of Mathematics and Computer Science, Tongling University, Tongling, Anhui 244000, China
3School of Mathematics, Heifei University of Technology, Hefei, Anhui 230009, China

Received 26 October 2010; Revised 5 January 2011; Accepted 27 January 2011

Academic Editor: Matti K. Vuorinen

Copyright © 2011 Xing-Cai Zhou et al. 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

Complete convergence is studied for linear statistics that are weighted sums of identically distributed 𝜌 ∗ -mixing random variables under a suitable moment condition. The results obtained generalize and complement some earlier results. A Marcinkiewicz-Zygmund-type strong law is also obtained.