ON COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF PAIRWISE AND COORDINATEWISE NEGATIVELY DEPENDENT RANDOM VECTORS IN HILBERT SPACES

Tóm tắt

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.