Not all estimators are born equal: The empirical properties of some estimators of long memory

We present the results of a simulation study into the properties of 12 different estimators of the Hurst parameter, H, or the fractional integration parameter, d, in long memory time series which are available in R packages. We compare and contrast their performance on simulated Fractional Gaussian...

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Bibliographic Details
Main Authors: Rea, W., Oxley, Leslie, Reale, M., Brown, J.
Format: Journal Article
Published: 2012
Online Access:http://hdl.handle.net/20.500.11937/25456
Description
Summary:We present the results of a simulation study into the properties of 12 different estimators of the Hurst parameter, H, or the fractional integration parameter, d, in long memory time series which are available in R packages. We compare and contrast their performance on simulated Fractional Gaussian Noises and fractionally integrated series with lengths between 100 and 10,000 data points and H values between 0.55 and 0.90 or d values between 0.05 and 0.40. We apply all 12 estimators to the Campito Mountain data and estimate the accuracy of their estimates using the Beran goodness-of-fit test for long memory time series. © 2012 IMACS.