DOI QR코드

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A CENTRAL LIMIT THEOREM FOR THE STATIONARY MULTIVARIATE LINEAR PROCESS GENERATED BY ASSOCIATED RANDOM VICTORS

  • Kim, Tae-Sung (Division of Mathematics and Information Statistics, WonKwang University) ;
  • Ko, Mi-Hwa (Division of Mathematics and Information Statistics, WonKwang University) ;
  • Chung, Sung-Mo (Division of Mathematics and Information Statistics, WonKwang University)
  • Published : 2002.01.01

Abstract

A central limit theorem is obtained for a stationary multivariate linear process of the form (equation omitted), where { $Z_{t}$} is a sequence of strictly stationary m-dimensional associated random vectors with E $Z_{t}$ = O and E∥ $Z_{t}$$^2$ < $\infty$ and { $A_{u}$} is a sequence of coefficient matrices with (equation omitted) and (equation omitted).ted)..ted).).

Keywords

References

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Cited by

  1. A central limit theorem for the linear process generated by associated random variables in a Hilbert space vol.78, pp.14, 2008, https://doi.org/10.1016/j.spl.2008.01.079