Dehling, HeroldFranke, BriceWoerner, Jeannette H.C.2015-10-072015-10-072015-09-09http://hdl.handle.net/2003/3426010.17877/DE290R-16337We construct a least squares estimator for the drift parameters of a fractional Ornstein Uhlenbeck process with periodic mean function and long range dependence. For this estimator we prove consistency and asymptotic normality. In contrast to the classical fractional Ornstein Uhlenbeck process without periodic mean function the rate of conver- gence is slower depending on the Hurst parameter H, namely n1-H.enfractional Ornstein Uhlenbeck processlong range dependenceperiodic mean functionleast squares estimator610preprint