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January 1997 Central limit theorem for linear processes
Magda Peligrad, Sergey Utev
Ann. Probab. 25(1): 443-456 (January 1997). DOI: 10.1214/aop/1024404295


In this paper we study the CLT for partial sums of a generalized linear process $X_n = \sum_{i=1}^n a_{ni} \xi_i$, where $\sup_n \sum_{i=1}^n a_{ni}^2 < \infty, \max_{1 \leq i \leq n}are in turn, pairwise mixing martingale differences, mixing sequences or associated sequences. The results are important in analyzing the asymptotical properties of some estimators as well as of linear processes.


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Magda Peligrad. Sergey Utev. "Central limit theorem for linear processes." Ann. Probab. 25 (1) 443 - 456, January 1997.


Published: January 1997
First available in Project Euclid: 18 June 2002

zbMATH: 0876.60013
MathSciNet: MR1428516
Digital Object Identifier: 10.1214/aop/1024404295

Primary: 60F05 , 60G09

Keywords: central limit theorem , Dependent random variables , linear process

Rights: Copyright © 1997 Institute of Mathematical Statistics

Vol.25 • No. 1 • January 1997
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