Local Polynomial Whittle Estimation Of Perturbed Fractional Processes

Frank Nielsen, Morten Nielsen and Per Houmann Frederiksen
Additional contact information
Per Houmann Frederiksen: Nordea Markets

No 1218, Working Paper from Economics Department, Queen's University

Abstract: We propose a semiparametric local polynomial Whittle with noise estimator of the memory parameter in long memory time series perturbed by a noise term which may be serially correlated. The estimator approximates the log-spectrum of the short-memory component of the signal as well as that of the perturbation by two separate polynomials. Including these polynomials we obtain a reduction in the order of magnitude of the bias, but also inflate the asymptotic variance of the long memory estimator by a multiplicative constant. We show that the estimator is consistent for d in (0,1), asymptotically normal for d in (0,3/4), and if the spectral density is sufficiently smooth near frequency zero, the rate of convergence can become arbitrarily close to the parametric rate, sqrt(n). A Monte Carlo study reveals that the proposed estimator performs well in the presence of a serially correlated perturbation term. Furthermore, an empirical investigation of the 30 DJIA stocks shows that this estimator indicates stronger persistence in volatility than the standard local Whittle (with noise) estimator.

Keywords: Bias reduction; local Whittle; long memory; perturbed fractional process; semiparametric estimation; stochastic volatility (search for similar items in EconPapers)
JEL-codes: C22 (search for similar items in EconPapers)
Pages: 39 pages
Date: 2009-09
New Economics Papers: this item is included in nep-ecm, nep-ets and nep-ore
References: Add references at CitEc
Citations: View citations in EconPapers (18)

Downloads: (external link)
https://www.econ.queensu.ca/sites/econ.queensu.ca/files/wpaper/qed_wp_1218.pdf First version 2009 (application/pdf)

Related works:
Journal Article: Local polynomial Whittle estimation of perturbed fractional processes (2012)
Working Paper: Local polynomial Whittle estimation of perturbed fractional processes (2008)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:qed:wpaper:1218

Access Statistics for this paper

More papers in Working Paper from Economics Department, Queen's University Contact information at EDIRC.
Bibliographic data for series maintained by Mark Babcock ().