Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 630608, 13 pages
doi:10.1155/2010/630608
Complete Convergence for Weighted Sums of ρ∗-Mixing Random Variables
Soo Hak Sung
Department of Applied Mathematics, Pai Chai University, Taejon 302-735, South Korea
Abstract
We obtain the complete convergence for weighted sums of ρ∗-mixing random variables. Our result extends the result of Peligrad and Gut (1999) on unweighted average to a weighted average under a mild condition of weights. Our result also generalizes and sharpens the result of An and Yuan (2008).