We consider the semiparametric estimation of fractional cointegration ina multivariate process of cointegrating rank r amp;gt; 0. We estimate thecointegrating relationships by the eigenvectors corresponding to the rsmallest eigenvalues of an averaged periodogram matrix of tapered,differenced...

We propose a new complex-valued taper and derive the properties of a tapered Gaussian semiparametric estimator of the long-memory parameter d Atilde; Acirc; Atilde; Acirc; (-0.5, 1.5). The estimator and its accompanying theory can be applied to generalized unit root testing. In the proposed method,...

We study the modelling of large data sets of high frequency returns using a long memory stochastic volatility (LMSV) model. Issues pertaining to estimation and forecasting of datasets using the LMSV model are studied in detail. Furthermore, a new method of de-seasonalising the volatility in high...