Resumen de Bootstrap estimation of population spectrum with replicated time series

Carmen Nieves Hernández Flores , Juan Artiles Romero , Pedro Saavedra Santana

• In this work a set with r objets is considered and a stationary process X; (t) with spectral distribution absolutely continuous is observed for each of them at same time interval. Each spectral density function f; (ro) may be considered ita realization of a stationary process R(ro) .The spectrum population f (ro) is defined by E[ R(ro)).We estímate f (ro) by means of a bootstrap method and we proof the asymptotic validity when the number of objects r tend to infinity.