Simulating a class of stationary Gaussian processes using the Davies-Harte algorithm, with application to long memory processes
We demonstrate that the fast and exact Davies-Harte algorithm is valid for simulating a certain class of stationary Gaussian processes - those with a negative autocovariance sequence for all non-zero lags. The result applies to well known classes of long memory processes: Gaussian fractionally differenced (FD) processes, fractional Gaussian noise (fGn) and the nonstationary fractional Brownian Motion (fBm). Copyright 2003 Blackwell Publishing Ltd.