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Testing for the presence of noise in long memory processes [in Japanese]


  • Keiko Yamaguchi


In this paper, we propose a new test for the presence of noise in the long-memory signal plus white noise model. A similar test was proposed by Sun-Phillips(2003), so we conduct simulation experiments to examine and compare the finite sample properties of these two tests. It is well-known that the realized volatility(RV) follows a long memory process, so we apply these tests to the RVs calculated using the 1- and 5-minutes returns of the Nikkei 225 stock index.

Suggested Citation

  • Keiko Yamaguchi, 2008. "Testing for the presence of noise in long memory processes [in Japanese]," Hi-Stat Discussion Paper Series d07-230, Institute of Economic Research, Hitotsubashi University.
  • Handle: RePEc:hst:hstdps:d07-230

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    long-term memory; realized volatility; observation error; semi-parametric; local Whittle model;

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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