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Weak convergence of multivariate fractional processes

Marinucci, D and Robinson, Peter M. (1998) Weak convergence of multivariate fractional processes. Econometrics; EM/1998/352 (EM/98/352). Suntory and Toyota International Centres for Economics and Related Disciplines, London, UK.

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Weak convergence to a form of fractional Brownian motion is established for a wide class of nonstationary fractionally integrated multivariate processes. Instrumental for the main argument is a result of some independent interest on approximations for partial sums of stationary linear vector sequences. A functional central limit theorem for smoothed processes is analyzed under more general assumptions.

Item Type: Monograph (Discussion Paper)
Official URL:
Additional Information: © 1998 D Marinucci and P M Robinson
Divisions: Economics
Subjects: H Social Sciences > HB Economic Theory
JEL classification: C - Mathematical and Quantitative Methods > C3 - Econometric Methods: Multiple; Simultaneous Equation Models; Multiple Variables; Endogenous Regressors > C32 - Time-Series Models
Date Deposited: 27 Apr 2007
Last Modified: 11 Feb 2021 00:23

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