Gaussian estimation of parametric spectral density with unknown pole

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Long memory time series (2003, background): “45) on the other, was discussed by Marinucci and Robinson (1999); this entails, for example, convergence to different forms of fractional Brownian motion.”
An Alternative Bootstrap to Moving Blocks for Time Series Regression Models (2003, unknown): “…of fuu (λ) fxx (λ) imply that f1/2uu (λ) f 1/2 xx (λ) ≤ Dλ−1/2 |log |λ||−(1+δ)/2 (5.9) for any arbitrarily small δ > 0, and by Robinson’s (1995a) Theorem 2 and its obvious extension to [0, π], see Lemma 4.4 of Giraitis et al. (2001), E ¯̄̄̄ ¯ wx,jf1/2xx,j − (2π)1/2 wξ,j σξ ¯̄̄̄ ¯ 2 ≤ D log j j .”