Classical and modified rescaled range analysis: Sampling properties under heavy tails

作者: Ladislav Krištoufek

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摘要: Mostly used estimators of Hurst exponent for detection long-range dependence are biased by presence short-range in the underlying time series. We present confidence intervals estimates rescaled range and modified range. show that difference expected values enables us to use both methods together clearly distinguish between two types processes. Moreover, robust against heavy tails process.

参考文章(10)
Wencheong Chin, Spurious long-range dependence: evidence from Malaysian equity markets Research Papers in Economics. ,(2008)
Anil K. Bera, Carlos M. Jarque, Efficient tests for normality, homoscedasticity and serial independence of regression residuals Economics Letters. ,vol. 7, pp. 313- 318 ,(1981) , 10.1016/0165-1765(81)90035-5
Dariusz Grech, Zygmunt Mazur, M. Borna, STATISTICAL PROPERTIES OF OLD AND NEW TECHNIQUES IN DETRENDED ANALYSIS OF TIME SERIES AcPPB. ,vol. 36, pp. 2403- ,(2005)
José A.O. Matos, Sílvio M.A. Gama, Heather J. Ruskin, Adel Al Sharkasi, Martin Crane, Time and scale Hurst exponent analysis for financial markets Physica A-statistical Mechanics and Its Applications. ,vol. 387, pp. 3910- 3915 ,(2008) , 10.1016/J.PHYSA.2008.01.060
Michel Couillard, Matt Davison, A comment on measuring the Hurst exponent of financial time series Physica A-statistical Mechanics and Its Applications. ,vol. 348, pp. 404- 418 ,(2005) , 10.1016/J.PHYSA.2004.09.035
Valentina Alfi, F Coccetti, M Marotta, A Petri, Luciano Pietronero, None, Exact Results for the Roughness of a Finite Size Random Walk Physica A-statistical Mechanics and Its Applications. ,vol. 370, pp. 127- 131 ,(2006) , 10.1016/J.PHYSA.2006.04.020
Craig Ellis, The sampling properties of Hurst exponent estimates Physica A-statistical Mechanics and Its Applications. ,vol. 375, pp. 159- 173 ,(2007) , 10.1016/J.PHYSA.2006.08.046
T. Di Matteo, T. Aste, Michel M. Dacorogna, Long-term memories of developed and emerging markets: Using the scaling analysis to characterize their stage of development Journal of Banking and Finance. ,vol. 29, pp. 827- 851 ,(2005) , 10.1016/J.JBANKFIN.2004.08.004
Rafał Weron, Estimating long-range dependence: finite sample properties and confidence intervals Physica A-statistical Mechanics and Its Applications. ,vol. 312, pp. 285- 299 ,(2002) , 10.1016/S0378-4371(02)00961-5