Baum-Katz Type Theorems For Coordinatewise Negatively Associated Random Vectors In Hilbert Spaces.

We develop the Baum-Katz theorem for sequences of coordinatewise negatively associated random vectors in Hilbert spaces. We also show that the concept of coordinatewise negative association is more general than the concept of negative association of Ko et al. []. Moreover, some related results still hold for this concept. Illustrative examples are provided. [ABSTRACT FROM AUTHOR]