%0 Journal Article %A Álvarez Liébana, Javier %A Bosq, Denis %A Ruiz Medina, María Dolores %T Consistency of the plug-in functional predictor of the Ornstein–Uhlenbeck process in Hilbert and Banach spaces %D 2016 %@ 0167-7152 %U https://hdl.handle.net/20.500.14352/95651 %X New results on functional prediction of the Ornstein–Uhlenbeck process in an autoregressive Hilbert-valued and Banach-valued frameworks are derived. Specifically, consistency of the maximum likelihood estimator of the autocorrelation operator, and of the associated plug-in predictor is obtained in both frameworks. %~