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Local Whittle Estimation in Nonstationary and Unit Root Cases Author info | Abstract | Publisher info | Download info | Related research | Statistics Katsumi Shimotsu
Peter C.B. Phillips () (Cowles Foundation, Yale University )
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Asymptotic properties of the local Whittle estimator in the nonstationary case (d > 1/2) are explored. For 1/2 < d < 1, the estimator is shown to be consistent, and its limit distribution and the rate of convergence depend on the value of d. For d = 1, the limit distribution is mixed normal. For d > 1 and when the process has a linear trend, the estimator is shown to be inconsistent and to converge in probability to unity.
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Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number
1266.
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Length: 33 pages
Date of creation: Jul 2000Date of revision:
Sep 2003Publication status: Published in The Annals of Statistics (2004), 34(2): 656-692Handle: RePEc:cwl:cwldpp:1266Note: CFP 1098Contact details of provider: Postal: Yale University, Box 208281, New Haven, CT 06520-8281 USA Phone: (203) 432-3702 Fax: (203) 432-6167 Web page: http://cowles.econ.yale.edu/ More information through EDIRC
Order Information: Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA
For technical questions regarding this item, or to correct its listing, contact: (Glena Ames).
Keywords: Discrete Fourier transform ; fractional Brownian motion ; fractional integration ; long memory ; nonstationarity ; semiparametric estimation ; trend ; Whittle likelihood ; unit root ; Other versions of this item:
Find related papers by JEL classification: C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions
References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.:
Dean Corbae & Sam Ouliaris & Peter C. B. Phillips, 2002.
"Band Spectral Regression with Trending Data ,"
Econometrica ,
Econometric Society, vol. 70(3), pages 1067-1109, May.
[Downloadable!] (restricted)
Other versions:
Corbae, D. & Ouliaris, S. & Phillips, P.C.B., 1997.
"Band Spectral Regression with Trending Data ,"
Working Papers
97-09, University of Iowa, Department of Economics.
Dean Corbae & Sam Ouliaris & Peter C.B. Phillips, 1997.
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Schotman, Peter C & van Dijk, Herman K, 1991.
"On Bayesian Routes to Unit Roots ,"
Journal of Applied Econometrics ,
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Other versions: Peter C.B. Phillips, 1999.
"Unit Root Log Periodogram Regression ,"
Cowles Foundation Discussion Papers
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Other versions: Peter C.B. Phillips, 1999.
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Cowles Foundation Discussion Papers
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references Cited by : (explanations , Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.)
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[Downloadable!] Matteo, T. Di & Aste, T. & Dacorogna, Michel M., 2005.
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Katsumi Shimotsu, 2003.
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"Gaussian semiparametric estimation of multivariate fractionally integrated processes ,"
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repec:bep:sndecm:11:2007:2:1382-1382 is not listed on IDEAS
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