J. Korean Math. Soc. 2000; 37(3): 463-471
Printed May 1, 2000
Copyright © The Korean Mathematical Society.
Tae-Sung Kim, Jong-Il Baek, and Jae-Hak Lim
Wonkwang University, Wonkwang University, Taejon National University of Technology
A central limit theorem is obtained for stationary linear process $X_{t}= \sum_{j=0}^\infty a_j \epsilon_{t-j}$, where $\{\epsilon_t \}$ is a strictly stationary associated sequence with $E\epsilon_t =0,~E \epsilon_t^2 < \infty.$ A functional central limit theorem is also derived.
Keywords: central limit theorem, associated, linear process, stationary, maximal inequality for associated sequence
MSC numbers: 60G10
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