Weak convergence of multivariate fractional processes

Marinucci, D. & Robinson, P. M. (1998). Weak convergence of multivariate fractional processes. (Econometrics paper series EM/98/352). Suntory and Toyota International Centres for Economics and Related Disciplines.
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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.

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