Least squares estimator for the parameter of fractional Ornstein-Uhlenbeck sheet

old_uid10538
titleLeast squares estimator for the parameter of fractional Ornstein-Uhlenbeck sheet
start_date2011/12/09
schedule11h
onlineno
summaryWe study the least square estimator for the drift parameter of the fractional Ornstein-Uhlenbeck sheet wich is defined as the solution of a Langevin equation driven by a fractional Brownian sheet with Hurst parameters bigger than one half. Using the properties of multiple Wiener-Itô integrals we prove that the estimator is strongly consistent for the parameter estimated.
responsiblesBardet, Cottrell