  We construct a new process using a fractional Brownian motion and a
fractional Ornstein-Uhlenbeck process of the Second Kind as building blocks. We
consider the increments of the new process in discrete time and, as a result,
we obtain a more parsimonious process with similar autocovariance structure to
that of a FARIMA. In practice, variance of the new increment process is a
closed-form expression easier to compute than that of FARIMA.
