P. Chen, T.-Ch. Hu, A. I. Volodin, “A note on the rate of complete convergence for maximus of partial sums for moving average processes in Rademacher type Banach spaces”, Lobachevskii J. Math., 2006, Volume 21,Pages <nobr>45

A note on the rate of complete convergence for maximus of partial sums for moving average processes in Rademacher type Banach spaces

P. Chen^a, T.-Ch. Hu^b, A. I. Volodin^c

^a Jinan University
^b National Tsing Hua University, Department of Mathematics
^c University of Regina

Abstract: We obtain the complete convergence rates for maximums of partial sums of Banach space valued random elements consisting of a moving average process. The corresponding almost sure convergence results for partial sums are derived, too.

Keywords: Banach space valued random elements, complete convergence, almost sure convergence, Rademacher type $p$ Banach space, moving average.

Received: 28.03.2006

Language: English