Asymptotic Expansions in Nonstationary Vector Autoregressions

Peter Phillips

No 765, Cowles Foundation Discussion Papers from Cowles Foundation for Research in Economics, Yale University

Abstract: This paper studies the statistical properties of vector autoregressions (VAR's) for quite general multiple time series which are integrated of order one. Functional central limit theorems are given for multivariate partial sums of weakly dependent innovations and these are applied to yield first order asymptotics in nonstationary VAR's. Characteristic and cumulant functionals for generalized random processes are introduced as a means of developing a refinement of central limit theory on function spaces. The theory is used to find asymptotic expansions of the regression coefficients in nonstationary VAR's under very general conditions. The results are specified to the scalar case and are related to other recent work by the author in [17] and [19].

Keywords: Asymptotic expansions; vector autoregressions; characteristic functionals; generalized random processes (search for similar items in EconPapers)
Pages: 35 pages
Date: 1985-08
Note: CFP 679.
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Citations: View citations in EconPapers (4)

Published in Econometric Theory (1987), 3: 45-68

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Journal Article: Asymptotic Expansions in Nonstationary Vector Autoregressions (1987)
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