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Volumn 81, Issue 1, 2011, Pages 83-91

The asymptotic behavior of the R/S statistic for fractional Brownian motion

Author keywords

Fractional Brownian motion; Hurst exponent; Self similarity index

Indexed keywords


EID: 78549242274     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2010.09.022     Document Type: Article
Times cited : (5)

References (34)
  • 2
    • 43049094947 scopus 로고    scopus 로고
    • A noise trader model as a generator of apparent financial power laws and long memory
    • Alfarano S., Lux T. A noise trader model as a generator of apparent financial power laws and long memory. Macroeconomic Dynamics 2007, 11:80-101.
    • (2007) Macroeconomic Dynamics , vol.11 , pp. 80-101
    • Alfarano, S.1    Lux, T.2
  • 3
    • 48049096152 scopus 로고    scopus 로고
    • Short term predictability of crude oil markets: a de-trended fluctuation analysis approach
    • Alvarez-Ramirez J., Alvarez J., Rodriguez E. Short term predictability of crude oil markets: a de-trended fluctuation analysis approach. Energy Economics 2008, 30:2645-2656.
    • (2008) Energy Economics , vol.30 , pp. 2645-2656
    • Alvarez-Ramirez, J.1    Alvarez, J.2    Rodriguez, E.3
  • 5
    • 27344459798 scopus 로고    scopus 로고
    • The rescaled variance statistic and the determination of the Hurst exponent
    • Cajueiro D.O., Tabak B.M. The rescaled variance statistic and the determination of the Hurst exponent. Mathematics and Computers in Simulation 2005, 70:172-179.
    • (2005) Mathematics and Computers in Simulation , vol.70 , pp. 172-179
    • Cajueiro, D.O.1    Tabak, B.M.2
  • 8
    • 78049261890 scopus 로고    scopus 로고
    • The use of the Hurst exponent to predict changes in the trends on the Warsaw stock exchange. Physica A: Statistical Mechanics and its Applications, in press, doi:10.1016/j.physa.2010.04.015.
    • Domino, K., 2010. The use of the Hurst exponent to predict changes in the trends on the Warsaw stock exchange. Physica A: Statistical Mechanics and its Applications, in press, (doi:10.1016/j.physa.2010.04.015).
    • (2010)
    • Domino, K.1
  • 9
    • 0012223897 scopus 로고    scopus 로고
    • Rescaled variance and related tests for long memory in volatility and levels
    • Giraitis L., Kokoszka P.S., Leipus R., Teyssière G. Rescaled variance and related tests for long memory in volatility and levels. Journal of Econometrics 2003, 112:265-294.
    • (2003) Journal of Econometrics , vol.112 , pp. 265-294
    • Giraitis, L.1    Kokoszka, P.S.2    Leipus, R.3    Teyssière, G.4
  • 10
    • 43049155005 scopus 로고    scopus 로고
    • The local Hurst exponent of the financial time series in the vicinity of crashes on the Polish stock exchange market
    • Grech D., Pamula G. The local Hurst exponent of the financial time series in the vicinity of crashes on the Polish stock exchange market. Physica A: Statistical Mechanics and its Applications 2008, 387:4299-4308.
    • (2008) Physica A: Statistical Mechanics and its Applications , vol.387 , pp. 4299-4308
    • Grech, D.1    Pamula, G.2
  • 11
    • 7444230506 scopus 로고    scopus 로고
    • Semiparametric bootstrap approach to hypothesis tests and confidence intervals for the Hurst coefficient
    • Hall P., Härdle W., Kleinow T., Schmidt P. Semiparametric bootstrap approach to hypothesis tests and confidence intervals for the Hurst coefficient. Statistical Inference for Stochastic Processes 2000, 3:263-276.
    • (2000) Statistical Inference for Stochastic Processes , vol.3 , pp. 263-276
    • Hall, P.1    Härdle, W.2    Kleinow, T.3    Schmidt, P.4
  • 13
    • 0001507590 scopus 로고
    • Computing the distribution of quadratic forms in normal variables
    • Imhoff J.P. Computing the distribution of quadratic forms in normal variables. Biometrika 1961, 48:419-426.
    • (1961) Biometrika , vol.48 , pp. 419-426
    • Imhoff, J.P.1
  • 14
    • 78549289225 scopus 로고
    • Persistent memory random processes. Ph.D. Dissertation. Department of Statistics, Harvard University (unpublished).
    • Jonas, A., 1983. Persistent memory random processes. Ph.D. Dissertation. Department of Statistics, Harvard University (unpublished).
    • (1983)
    • Jonas, A.1
  • 16
    • 34247480179 scopus 로고
    • 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?
    • Kwiatkowski D., Phillips P.C.B., Schmidt P., Shin Y. 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 1992, 54:159-178.
    • (1992) Journal of Econometrics , vol.54 , pp. 159-178
    • Kwiatkowski, D.1    Phillips, P.C.B.2    Schmidt, P.3    Shin, Y.4
  • 19
    • 0000251502 scopus 로고
    • Statistical methodology for non-periodic cycles: from the covariance to R/S analysis
    • Mandelbrot B. Statistical methodology for non-periodic cycles: from the covariance to R/S analysis. Annals of Economic and Social Measurement 1972, 1:259-290.
    • (1972) Annals of Economic and Social Measurement , vol.1 , pp. 259-290
    • Mandelbrot, B.1
  • 20
    • 0000380963 scopus 로고
    • Limit theorems on the self-normalized range for weakly and strongly dependent processes
    • Mandelbrot B. Limit theorems on the self-normalized range for weakly and strongly dependent processes. Probability Theory and Related Fields 1975, 31:271-285.
    • (1975) Probability Theory and Related Fields , vol.31 , pp. 271-285
    • Mandelbrot, B.1
  • 22
    • 84944495957 scopus 로고
    • Computer experiments with fractional Gaussian noises. Parts 1, 2, and 3
    • Mandelbrot B., Wallis J. Computer experiments with fractional Gaussian noises. Parts 1, 2, and 3. Water Resources Research 1969, 5:228-267.
    • (1969) Water Resources Research , vol.5 , pp. 228-267
    • Mandelbrot, B.1    Wallis, J.2
  • 23
    • 12444317691 scopus 로고    scopus 로고
    • Long-term memories of developed and emerging markets: using the scaling analysis to characterize their stage of development
    • Matteo T.D., Aste T., Dacorogna M.M. Long-term memories of developed and emerging markets: using the scaling analysis to characterize their stage of development. Journal of Banking and Finance 2005, 29:827-851.
    • (2005) Journal of Banking and Finance , vol.29 , pp. 827-851
    • Matteo, T.D.1    Aste, T.2    Dacorogna, M.M.3
  • 27
    • 0000609479 scopus 로고
    • Independence and dependence
    • University of California Press, Berkeley, J. Neyman (Ed.)
    • Rosenblatt M. Independence and dependence. Proc. 4th Berkeley Symp. Math. Statist. Probab. 1961, 411-433. University of California Press, Berkeley. J. Neyman (Ed.).
    • (1961) Proc. 4th Berkeley Symp. Math. Statist. Probab. , pp. 411-433
    • Rosenblatt, M.1
  • 29
    • 0004178218 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • Sinai Ya.G. Introduction to Ergodic Theory 1976, Princeton University Press, Princeton, New Jersey.
    • (1976) Introduction to Ergodic Theory
    • Sinai, Y.1
  • 30
    • 3142681196 scopus 로고    scopus 로고
    • Fractional Brownian motion and long-range dependence
    • Birkhäuser, Boston, P. Doukhan, G. Oppenheim, M.S. Taqqu (Eds.)
    • Taqqu M.S. Fractional Brownian motion and long-range dependence. Theory and Applications of Long-Range Dependence 2003, 5-38. Birkhäuser, Boston. P. Doukhan, G. Oppenheim, M.S. Taqqu (Eds.).
    • (2003) Theory and Applications of Long-Range Dependence , pp. 5-38
    • Taqqu, M.S.1
  • 31
    • 0000233505 scopus 로고
    • Estimators for long-range dependence: an empirical study
    • Taqqu M.S., Teverovsky V., Willinger W. Estimators for long-range dependence: an empirical study. Fractals 1995, 3:785-798.
    • (1995) Fractals , vol.3 , pp. 785-798
    • Taqqu, M.S.1    Teverovsky, V.2    Willinger, W.3
  • 32
    • 77955088368 scopus 로고    scopus 로고
    • Detecting fractal power-law long-range dependence in pre-sliced cooked pork ham surface intensity patterns using detrended fluctuation analysis
    • Valous N., Drakakis K., Sun D.-W. Detecting fractal power-law long-range dependence in pre-sliced cooked pork ham surface intensity patterns using detrended fluctuation analysis. Meat Science 2010, 86:289-297.
    • (2010) Meat Science , vol.86 , pp. 289-297
    • Valous, N.1    Drakakis, K.2    Sun, D.-W.3
  • 33
    • 77956786812 scopus 로고    scopus 로고
    • Is WTI crude oil market becoming weakly efficient over time? New evidence from multi-scale analysis based on detrended fluctuation analysis
    • Wang Y., Liu L. Is WTI crude oil market becoming weakly efficient over time? New evidence from multi-scale analysis based on detrended fluctuation analysis. Energy Economics 2010, 32:987-992.
    • (2010) Energy Economics , vol.32 , pp. 987-992
    • Wang, Y.1    Liu, L.2


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