Local polynomial Whittle plus noise estimator
LPWN
calculates the local polynomial Whittle plus noise estimator of Frederiksen et al. (2012).
LPWN(data, m, R_short = 0, R_noise = 0)
data
: data vectorm
: bandwith parameter specifying the number of Fourier frequencies.R_short
: number of (even) polynomial terms used for approximation of spectral density at the origin.R_noise
: number of (even) polynomial terms used for approximation of dependence in perturbation term.add details here.
library(fracdiff) T<-2000 d<-0.2 series<-fracdiff.sim(n=T, d=d, ar=0.6)$series+rnorm(T) LPWN(series, m=floor(1+T^0.8), R_short=1, R_noise=0)
Frederiksen, P., Nielsen, F. S., and Nielsen, M. O. (2012): Local polynomial Whittle estimation of perturbed fractional processes. Journal of Econometrics, Vol. 167, No.2, pp. 426-447.
Useful links