Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 218380, 15 pages
doi:10.1155/2010/218380
Research Article

Convergence Properties for Asymptotically Almost Negatively Associated Sequence

Xuejun Wang, Shuhe Hu, and Wenzhi Yang

School of Mathematical Science, Anhui University, Hefei 230039, China

Received 20 July 2010; Revised 9 October 2010; Accepted 2 November 2010

Academic Editor: Ibrahim Yalcinkaya

Copyright © 2010 Xuejun Wang 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

We get the strong law of large numbers, strong growth rate, and the integrability of supremum for the partial sums of asymptotically almost negatively associated sequence. In addition, the complete convergence for weighted sums of asymptotically almost negatively associated sequences is also studied.