Exact Local Whittle Estimation of Fractional Integration
An exact form of the local Whittle likelihood is studied with the intent of developing a general purpose estimation procedure for the memory parameter (d) that does not rely on tapering or differencing prefilters. The resulting exact local Whittle estimator is shown to be consistent and to have the same N(0,1/4) limit distribution for all values of d if the optimization covers an interval of width less than 9/2 and the initial value of the process is known.
|Date of creation:||Aug 2002|
|Date of revision:||Jul 2004|
|Publication status:||Published in The Annals of Statistics, 33(4): 1890-1933, 2005|
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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.:
- Katsumi Shimotsu & Peter C.B. Phillips, 2000. "Local Whittle Estimation in Nonstationary and Unit Root Cases," Cowles Foundation Discussion Papers 1266, Cowles Foundation for Research in Economics, Yale University, revised Sep 2003.
- Hansen, Bruce E., 1996.
"Stochastic Equicontinuity for Unbounded Dependent Heterogeneous Arrays,"
Cambridge University Press, vol. 12(02), pages 347-359, June.
- Bruce E. Hansen, 1994. "Stochastic Equicontinuity for Unbounded Dependent Heterogeneous Arrays," Boston College Working Papers in Economics 295., Boston College Department of Economics.
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