Exact local Whittle estimation of fractional integration

Details Exact local Whittle estimation of fractional integration Exact local Whittle estimation of fractional integration

2005-08-16

arxiv.org/abs/math/0508286v1

Annals of Statistics 2005, Vol. 33, No. 4, 1890-1933

Mathematics

Statistics Theory

Published at http://dx.doi.org/10.1214/009053605000000309 in the Annals of Statistics (http://www.imstat.org/aos/) by the Inst

Scientific paper

10.1214/009053605000000309

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.

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