Fecha: 3 Julio de 2015 Lugar: Seminario 2 del Instituto de Matemáticas de la UGR (IEMath-GR) Hora: 11:00 – 12:00 Organizador/Responsable en IEMath-GR: Programa de  Doctorado en “Estadística Matemática y Aplicada” (Colaborador del proyecto MTM2012-32674) Título: Whittaker-Kotel'nikov-Shannon approximation of sub-Gaussian random processes Impartida por: Profesor A. Olenko (School of Engineering and Mathematical Sciences in Melbourne, Australia) Abstract: We generalize some classical results and obtain new truncation error upper bounds in the sampling theorem for bandlimited stochastic processes.  $L_p([0,T])$ and uniform approximations of sub-Gaussian random processes by finite time sampling sums are investigated. Explicit truncation error upper bounds are established. Some specifications of the general results for which the assumptions can be easily verified are given. Direct analytical and probability methods are employed to obtain the results. The presentation is based on joint results with Prof. Yu.Kozachenko. Transparencias de la charla (formato pdf)