Convergence Theorems for m -Coordinatewise Negatively Associated Random Vectors in Hilbert Spaces

Abstract

In this study, some new results on convergence properties for $m$ -coordinatewise negatively associated random vectors in Hilbert space are investigated. The weak law of large numbers, strong law of large numbers, complete convergence, and complete moment convergence for linear process of H-valued $m$ -coordinatewise negatively associated random vectors with random coefficients are established. These results improve and generalise some corresponding ones in the literature.