On linear processes with dependent innovations

Wei Biao Wu and Wanli Min

Stochastic Processes and their Applications, 2005, vol. 115, issue 6, 939-958

Abstract: We consider asymptotic behavior of partial sums and sample covariances for linear processes whose innovations are dependent. Central limit theorems and invariance principles are established under fairly mild conditions. Our results go beyond earlier ones by allowing a quite wide class of innovations which includes many important nonlinear time series models. Applications to linear processes with GARCH innovations and other nonlinear time series models are discussed.

Keywords: Central; limit; theorem; Covariance; GARCH; model; Invariance; principle; Linear; process; Nonlinear; time; series (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (22)

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