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Lobachevskii Journal of Mathematics, 2006, том 21, страницы 45–55
(Mi ljm47)
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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
Аннотация:
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.
Ключевые слова:
Banach space valued random elements, complete convergence, almost sure convergence, Rademacher type $p$ Banach space, moving average.
Поступило: 28.03.2006
Образец цитирования:
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
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/ljm47 https://www.mathnet.ru/rus/ljm/v21/p45
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