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Bootstrapping the Small Sample Critical Values of the Rescaled Range Statistic

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Author Info

  • Marwan Izzeldin

    (City University Business School)

  • Anthony Murphy

    (University College Dublin)

Abstract

Finite sample critical values of the rescaled range or R/S statistic may be obtained by bootstrapping. The empirical size and power performance of these critical values is good. Using the post blackened, moving block bootstrap helps to replicate the time dependencies in the original data. The Monte Carlo results show that the asymptotic critical values in Lo (1991) should not be used.

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File URL: http://www.esr.ie/vol31_4/4Izzeldin.pdf
File Function: First version, 2000
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Bibliographic Info

Article provided by Economic and Social Studies in its journal Economic and Social Review.

Volume (Year): 31 (2000)
Issue (Month): 4 ()
Pages: 351-359

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Handle: RePEc:eso:journl:v:31:y:2000:i:4:p:351-359

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Web page: http://www.esr.ie

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References

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  1. Andrew W. Lo, 1989. "Long-term Memory in Stock Market Prices," NBER Working Papers 2984, National Bureau of Economic Research, Inc.
  2. Lee, D. & Schmidt, P., 1993. "On the Power of the KPSS Test of Stationarity Against Fractionally-Integrated Alternatives," Papers 9111, Michigan State - Econometrics and Economic Theory.
  3. Horowitz, Joel L., 1994. "Bootstrap-based critical values for the information matrix test," Journal of Econometrics, Elsevier, vol. 61(2), pages 395-411, April.
  4. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
  5. Denis Conniffe & John E. Spencer, 2000. "Approximating the Distribution of the R/s Statistic," The Economic and Social Review, Economic and Social Studies, vol. 31(3), pages 237-248.
  6. Michael Harrison & Glenn Treacy, 1997. "On the Small Sample Distribution of the R/S Statistic," Economics Technical Papers 976, Trinity College Dublin, Department of Economics.
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Cited by:
  1. Guglielmo Maria Caporale & Luis A. Gil-Alana, 2009. "Long Memory in US Real Output per Capita," Discussion Papers of DIW Berlin 891, DIW Berlin, German Institute for Economic Research.
  2. Murphy, A. & Izzeldin, M., 2009. "Bootstrapping long memory tests: Some Monte Carlo results," Computational Statistics & Data Analysis, Elsevier, vol. 53(6), pages 2325-2334, April.

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