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- W2103297815 abstract "Let <TEX>$mathbb{X}_t$</TEX> be an m-dimensional linear process defined by <TEX>$mathbb{X}_t=sum{_{j=0}^infty};A_j;mathbb{Z}_{t-j}$</TEX>, t = 1, 2, <TEX>$ldots$</TEX>, where <TEX>$mathbb{Z}_t$</TEX> is a sequence of m-dimensional random vectors with mean 0 : <TEX>$mtimes1$</TEX> and positive definite covariance matrix <TEX>$Gamma:m{times}m$</TEX> and <TEX>${A_j}$</TEX> is a sequence of coefficient matrices. In this paper we give sufficient conditions so that <TEX>$sum{_{t=1}^{[ns]}mathbb{X}_t$</TEX> (properly normalized) converges weakly to Wiener measure if the corresponding result for <TEX>$sum{_{t=1}^{[ns]}mathbb{Z}_t$</TEX> is true." @default.
- W2103297815 created "2016-06-24" @default.
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- W2103297815 date "2006-10-31" @default.
- W2103297815 modified "2023-09-26" @default.
- W2103297815 title "FUNCTIONAL CENTRAL LIMIT THEOREMS FOR MULTIVARIATE LINEAR PROCESSES GENERATED BY DEPENDENT RANDOM VECTORS" @default.
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- W2103297815 doi "https://doi.org/10.4134/ckms.2006.21.4.779" @default.
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