Benyelles, WafaaMourid, Tahar2013-03-182013-03-182012https://dspace.univ-tlemcen.dz/handle/112/1601Journal of Applied Statistics Volume 39, Issue 8, 2012.We consider a continuous time random process with functional autoregressive representation. We state statistical results on a mean functional estimator determining a minimum distance estimator of the period giving consistency and a limit law stated in Mourid and Benyelles [13]. Then we discuss their performance on numerical simulations and on real data analyzing the cycle of a climatic phenomena.enfunctional autoregressive processfunctional mean estimationperiod estimationminimum distance estimationfunctional datasimulationArticle