Statistical estimation of higher-order spectral densities by means of general tapering
Volume 24 / 1997
Applicationes Mathematicae 24 (1997), 357-381
DOI: 10.4064/am-24-4-357-381
Abstract
Given a realization on a finite interval of a continuous-time stationary process, we construct estimators for higher order spectral densities. Tapering and shift-in-time methods are used to build estimators which are asymptotically unbiased and consistent for all admissible values of the argument. Asymptotic results for the fourth-order densities are given. Detailed attention is paid to the nth order case.