Johansen, Søren; Nielsen, Morten Ørregaard - Økonomisk Institut, Københavns Universitet - 2010
We discuss the moment condition for the fractional functional central limit theorem (FCLT) for partial sums of x(t)=Δ^(-d)u(t), where d є (-1/2,1/2) is the fractional integration parameter and u(t) is weakly dependent. The classical condition is existence of qmax(2,(d+1/2)-¹) moments of the...