ON COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF PAIRWISE AND COORDINATEWISE NEGATIVELY DEPENDENT RANDOM VECTORS IN HILBERT SPACES
Keywords:
Negative dependence; pairwise negative dependence; Hilbert space; complete convergence; strong law of large numbers.
Abstract
In this paper, we establish the complete convergence theorem and the Marcinkiewicz–Zymund type strong law of large numbers for sequences of pairwise and coordinatewise negatively dependent random vectors fXn; n ≥ 1g taking values in Hilbert spaces.
