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Lobachevskii Journal of Mathematics, 2006, Volume 21, Pages 45–55 (Mi ljm47)  
A note on the rate of complete convergence for maximus of partial sums for moving average processes in Rademacher type Banach spaces

P. Chena, T.-Ch. Hub, A. I. Volodinc

a Jinan University
b National Tsing Hua University, Department of Mathematics
c University of Regina
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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
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Language: English
Citation: 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., 21 (2006), 45–55
Citation in format AMSBIB
\Bibitem{CheHuVol06}
\by P.~Chen, T.-Ch.~Hu, A.~I.~Volodin
\paper A note on the rate of complete convergence for maximus of partial sums for moving average processes in Rademacher type Banach spaces
\jour Lobachevskii J. Math.
\yr 2006
\vol 21
\pages 45--55
\mathnet{http://mi.mathnet.ru/ljm47}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2220699}
\zmath{https://zbmath.org/?q=an:1112.60023}
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