English

A consistent estimator of the smoothing operator in the functional Hodrick-Prescott filter

Statistics Theory 2016-10-05 v1 Statistics Theory

Abstract

In this paper we consider a version of the functional Hodrick-Prescott filter for functional time series. We show that the associated optimal smoothing operator preserves the 'noise-to-signal' structure. Moreover, we propose a consistent estimator of this optimal smoothing operator.

Keywords

Cite

@article{arxiv.1503.06284,
  title  = {A consistent estimator of the smoothing operator in the functional Hodrick-Prescott filter},
  author = {Hiba Nassar},
  journal= {arXiv preprint arXiv:1503.06284},
  year   = {2016}
}

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15 pages