# A Functional Central Limit Theorem for the Multivariate Linear Process Generated by Negatively Associated Random Vectors

• Kim, Tae-Sung (Professor Division of Mathematics and Informational Statistics, Wonkwang University Iksan, Jeonbuk 570-749) ;
• Seo, Hye-Young (Lecturer Division of Mathematics and Informational Statistics, WonKwang University IKsan, Jeongbu 570-749)
• Published : 2001.12.01

#### Abstract

A functional central limit theorem is obtained for a stationary multivariate linear process of the form (no abstract. see full-text) where{ $Z_{t}$} is a sequence of strictly stationary m-dimensional negatively associated random vectors with E $Z_{t}$=O and E∥ $Z_{t}$$^2$<$\infty$ and { $A_{u}$} is a sequence of coefficient matrices with (no abstract. see full-text) and (no abstract. see full-text).text).).

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