  The FOU(p) processes can be considered as an alternative to ARMA (or ARFIMA)
processes to model time series. Also, there is no substantial loss when we
model a time series using FOU(p) processes with the same lambda, than using
differents values of lambda. In this work we propose a new method to estimate
the unique value of lambda in a FOU(p) process. Under certain conditions, we
will prove consistency and asymptotic normality. We will show that this new
method is more easy and fast to compute. By simulations, we show that the new
procedure work well and is more efficient than the general method. Also, we
include an application to real data, and we show that the new method work well
too and outperforms the family of ARMA(p, q).
