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Filtered Log-periodogram Regression of long memory processes

Yuanhua Feng and Jan Beran

No 08/10, CoFE Discussion Papers from University of Konstanz, Center of Finance and Econometrics (CoFE)

Abstract: Filtered log-periodogram regression estimation of the fractional differencing parameter d is considered. Asymptotic properties are derived and the effect of filtering on ˆd is investigated. It is shown that the estimator by Geweke and Porter-Hudak (1983) can be improved significantly using a simple family of filters. The essential improvement is based on a binary decision that is asymptotically correct with probability one. The idea is closely related to the well known technique of pre-whitening.

Keywords: Filtering; log-periodogram regression; local pre-whitening; fractional differencing parameter; long memory (search for similar items in EconPapers)
Date: 2008
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