EconPapers    
Economics at your fingertips  
 

Local polynomial Whittle estimation of perturbed fractional processes

Per Frederiksen, Frank S. Nielsen and Morten Nielsen ()

Journal of Econometrics, 2012, vol. 167, issue 2, 426-447

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∈(0,1), asymptotically normal for d∈(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, 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)
Date: 2012
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (16) Track citations by RSS feed

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0304407611002077
Full text for ScienceDirect subscribers only

Related works:
Working Paper: Local Polynomial Whittle Estimation Of Perturbed Fractional Processes (2009) Downloads
Working Paper: Local polynomial Whittle estimation of perturbed fractional processes (2008) Downloads
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:eee:econom:v:167:y:2012:i:2:p:426-447

Access Statistics for this article

Journal of Econometrics is currently edited by T. Amemiya, A. R. Gallant, J. F. Geweke, C. Hsiao and P. M. Robinson

More articles in Journal of Econometrics from Elsevier
Bibliographic data for series maintained by Dana Niculescu ().

 
Page updated 2019-10-16
Handle: RePEc:eee:econom:v:167:y:2012:i:2:p:426-447