作者:Giraitis, L; Taqqu, MS
作者单位:Boston University
摘要:We consider time series Y-t = G(X-t) where X-t is Gaussian with long memory and G is a polynomial. The series Y-t may or may not have long memory. The spectral density g(theta)(x) of Y-t is parameterized by a vector theta and we want to estimate its true value theta(0). We use a least-squares Whittle-type estimator <(theta)over cap>(N) for theta(0), based on observations Y-1,...,Y-N. If Y-t is Gaussian, then root N(<(theta)over cap>(N)-theta(0)) converges to a Gaussian distribution. We show th...