Complete convergence and complete q-th moment convergence for weighted sums of random vectors in Hilbert spaces

Nguyen Van Huan, Che Thi Kim Phung, Nguyen Van Quang

Abstract


We investigate the complete convergence and complete q-th moment convergence for weighted sums of coordinatewise negatively associated random vectors taking values in a real separable Hilbert space without assumption of identical distribution. The results obtained in the paper generalize and improve some known ones.

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