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AbstractA substantial amount of recent time series research has emphasized semi-parameteric estimators of a long memory parameter and we provide a selective review of the literature on this issue. We consider such estimators applied to the issue of estimating the parameters relating to a short memory process which is embedded within the long memory process. We consider the fractional differencing filter and the subsequent properties of a two step estimator of the short memory parameters. We conclude that while the semi-parametric estimators can have excellent properties in terms of estimating the long memory parameter, they do not have good properties when applied to the two step estimator of short memory I(0) parameters. In particular, these estimators compare poorly in terms of bias and mean squared error (MSE) with the systems based maximum likelihood estimator (MLE).
Studies in Nonlinear Dynamics & Econometrics – de Gruyter
Published: Sep 1, 2016
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