Quantifying cross-correlations using local and global detrending approaches

Springer Science and Business Media LLC - Tập 71 Số 2 - Trang 243-250 - 2009
Boris Podobnik1,2,3, Ivo Große4, Davor Horvatić5, Suzana Ilić6, Plamen Ch. Ivanov1,7,8, H. Eugene Stanley9
1Boston University
2Faculty of Civil Engineering, University of Rijeka
3Zagreb School of Economics and Management
4Inst. of Comput. Sci., Martin Luther Univ., Halle, Germany
5Physics department, Faculty of science, University of Zagreb, Zagreb, Croatia
6Lancaster Environment Centre, Lancaster University, Lancaster, UK
7Harvard Medical School and Division of Sleep Medicine
8Institute of Solid State Physics, Bulgarian Academy of Sciences
9Center for Polymer Studies and Department of Physics, Boston University, Boston, (USA)

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Tài liệu tham khảo

M. Campillo, A. Paul, Science 299, 547 (2003)

B. LeBaron, W.B. Arthur, R. Palmer, J. Econ. Dyn. Control 23, 1487 (1999)

R.N. Mantegna, Eur. Phys. J. B 11, 193 (1999)

L. Laloux et al., Phys. Rev. Lett. 83, 1467 (1999)

V. Plerou et al., Phys. Rev. Lett. 83, 1471 (1999); V. Plerou et al., Phys. Rev. E 66, 066126 (2002)

L. Kullmann, J. Kertesz, K. Kaski, Phys. Rev. E 66, 026125 (2002)

T. Mizunoa, H. Takayasu, M. Takayasu, Physica A 364 336 (2006)

M. Tumminello, T. Aste, T. Di Matteo, R.N. Mantegna, Proceedings of the National Academy of Sciences of the United States of America (PNAS) 102, 10421 (2005)

R. Coelho, S. Hutzler, P. Repetowicz, P. Richmond, Physica A 373, 615 (2007)

B. Podobnik et al., Eur. Phys. J. B 56, 47 (2007)

B. Podobnik, H.E. Stanley, Phys. Rev. Lett. 100, 084102 (2008)

T. Conlon, H.J. Ruskin, M. Crane, Physica A 388 705 (2009)

S. Arianos, A. Carbone, J. Stat. Mech. P03037(2009)

P. Sieczka, J.A. Holyst, Physica A 388, 1621 (2009)

P. Samuelsson et al., Phys. Rev. Lett. 91, 157002 (2003); A. Cottet et al., Phys. Rev. Lett. 92, 206801 (2004)

H.E. Hurst, Proc. Inst. of Civ. Eng. 1, 519 (1951)

F. Caserta et al., Phys. Rev. Lett. 64, 95 (1990); D.C. Hong et al., Phys. Rev. B 30, 4083 (1984)

T. Vicsek, Fractal Growth Phenomenon, 2nd edn. (World Scientific, Singapore, 1993)

Fractals in Science, edited by A. Bunde, S. Havlin (Springer, Berlin, 1994)

J.B. Bassingthwaighte, L.S. Liebovitch, B.J. West, Fractal Physiology (Oxford U. Press, New York, 1994)

H. Takayasu, Fractals in the Physical Sciences (Manchester U. Press, Manchester, 1997)

D. Markovic, M. Koch, Water Resour. Res. 41, 09420 (2005); D. Markovic, M. Koch, Geophys. Res. Lett. 32, 17401 (2005)

C.-K. Peng et al., Phys. Rev. E 49, 1685 (1994)

K. Hu et al., Phys. Rev. E 64, 011114 (2001)

Z. Chen et al., Phys. Rev. E 65, 041107 (2002)

Z. Chen et al., Phys. Rev. E 71, 011104 (2005)

L. Xu et al., Phys. Rev. E 71, 051101 (2005)

P.Ch. Ivanov et al., Chaos 11, 641 (2001)

Y. Liu et al., Physica A 245, 437 (1997); Y. Liu et al., Phys. Rev. E 60, 1390 (1999); P. Cizeau, Phys. Rev. E 245, 441 (1997); P.Ch. Ivanov et al., Phys. Rev. E 69, 056107 (2004)

S. Buldyrev et al., Biophys. J. 65, 2673 (1993); S. Buldyrev et al., Phys. Rev. E 47, 4514 (1993)

K. Ivanova, M. Ausloos, Physica A 274, 349 (1999); K. Ivanova, J. Geophys. Res. 108, 4268 (2003)

Z. Chen et al., Phys. Rev. E 73, 031915 (2006)

C.W.J. Granger, J. Econometrics 14, 227 (1980)

C.W.J. Granger, R. Joyeux, J. Time Series Analysis 1, 15 (1980)

J. Hosking, Biometrika 68, 165 (1981)

B. Podobnik et al., Phys. Rev. E 71, 025104(R) (2005)

B. Podobnik et al., Phys. Rev. E 72, 026121 (2005)

R.H. Shumway, D.S. Stoffer, Time Series Analysis anf Its Applications, Springer Texts in Statistics (Springer-Verlag, New York, 2000)

R.L. Anderson, Annals Math. Statistics 13, 1 (1942)

G.E.P. Box, G.M. Jenkins, G.C. Reinsel, Time Series Analysis: Forecasting and Control (Prentice Hall, New Jersey, 1994)

G.M. Ljung, G.E.P. Box, Biometrika 65, 297 (1978)

H. Tastan, Physica A 360, 445 (2006); K.M. Wang, T.B.N. Thi, Physica A 376, 422 (2007); M.C. Lee, C.L. Chiu, Y.H. Lee, Physica A 377, 199 (2007); A. Kasman, S. Kasman, Physica A 387, 2837 (2008); C.H. Tseng, S.T. Cheng, Y.H. Wang, J.T. Peng, Physica A 387, 3192 (2008)

www.yahoo.finance

J. Theiler et al., Physica D 58, 77 (1992)

P.Ch. Ivanov et al., Nature 383, 323 (1996)

B. Podobnik et al., Physica A 387, 3954 (2008)

W.W.S. Wei, Time Series Analysis Univariate and Multivariate Methods (Addison-Wesley, Prentice Hall, 2006)