  We extend the theoretical results for any FOU(p) processes for the case in
which the Hurst parameter is less than 1/2 and we show theoretically and by
simulations that under some conditions on T and the sample size n it is
possible to obtain consistent estimators of the parameters when the process is
observed in a discretized and equispaced interval [0, T ]. Also we will show
that the FOU(p) processes can be used to model a wide range of time series
varying from short range dependence to large range dependence with similar
results as the ARMA or ARFIMA models, and in several cases outperforms those.
Lastly, we give a way to obtain explicit formulas for the auto-covariance
function for any FOU(p) and we present an application for FOU(2) and FOU(3).
