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 On a functional central limit theorem for the linear process generated by associated random variables in a Hilbert space Commun. Korean Math. Soc. 2008 Vol. 23, No. 1, 133-140 Printed March 1, 2008 Mi-Hwa Ko and Tae-Sung Kim Department of Mathematics, WonKwang University, Jeonbuk 570-749, Korea Abstract : Let $\{\xi_k, k \in \mathbb{Z}\}$ be a strictly stationary associated sequence of $H$-valued random variables with $E\xi_k=0$ and \$E\|\xi_k \|^2 Keywords : functional central limit theorem, linear process in a Hilbert space, association, linear operator, Hilbert space-valued random variable MSC numbers : 60F05, 60F17, 60G10 Downloads: Full-text PDF