2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123168We study the density of the time average of the Brownian meander/excursion over the time interval [0,1]. Moreover we give an expression for the Brownian meander/excursion conditioned to have a fixed time average.Probability60J65; 60G15On the Brownian meander and excursion conditioned to have a fixed time averagetext