Convergence properties for coordinatewise asymptotically negatively associated random vectors in Hilbert space

Abstract

In this work, the authors study some convergence results including weak law of large numbers, strong law of large numbers, complete convergence, and complete moment convergence for weighted sums of coordinatewise asymptotically negatively associated random vectors in Hilbert spaces. These results improve or extend some corresponding ones in the literature.

Keywords

• law of large numbers
• complete convergence
• complete moment convergence
• coordinatewise asymptotically negatively associated
• hilbert space
• 60f15