Locally stationary long memory estimation

By Franccois Roueff, R. von Sachs. 2009

145 citations recorded by the source corpus.

There exists a wide literature on parametrically or semi-parametrically modelling strongly dependent time series using a long-memory parameter d, including more recent work on wavelet estimation. As a generalization of these latter approaches, in this work we allow the long-memory parameter d to be varying over time. We adopt a semi-parametric approach in order to avoid fitting a time-varying parametric model, such as tvARFIMA, to the observed data. We study the asymptotic behavior of a local log-regression wavelet estimator of the time-dependent d. Both simulations and a real data example complete our work on providing a fairly general approach.

Subfields: Economics and Econometrics, Finance

View Paper: https://www.semanticscholar.org/paper/ee18965acdcb13072f2daee3f6021b59dcddd4e1

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In Economics and Econometrics

  1. David Zilberman
  2. Ladislav Kristoufek
  3. Karel Janda
  4. Lukáš Vácha
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In Finance

  1. David Zilberman
  2. Karel Janda
  3. Ladislav Kristoufek
  4. Lukáš Vácha
  5. Ayoub Ammy-Driss
  6. Matthieu Garcin
  7. Miloslav S. Vosvrda
  8. Subrata Kumar Mitra

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