Revisiting Algorithms for Generating Surrogate Time Series

被引:21
作者
Raeth, C. [1 ]
Gliozzi, M. [2 ]
Papadakis, I. E. [3 ,4 ]
Brinkmann, W. [1 ]
机构
[1] Max Planck Inst Extraterr Phys, D-85748 Garching, Germany
[2] George Mason Univ, Dept Phys & Astron, Fairfax, VA 22030 USA
[3] Univ Crete, Dept Phys, Iraklion 71003, Crete, Greece
[4] Fdn Res & Technol Hellas, IESL, Iraklion 71110, Crete, Greece
关键词
NONLINEARITY;
D O I
10.1103/PhysRevLett.109.144101
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The method of surrogates is one of the key concepts of nonlinear data analysis. Here, we demonstrate that commonly used algorithms for generating surrogates often fail to generate truly linear time series. Rather, they create surrogate realizations with Fourier phase correlations leading to nondetections of nonlinearities. We argue that reliable surrogates can only be generated, if one tests separately for static and dynamic nonlinearities.
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收藏
页数:5
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共 18 条
  • [1] PRICING OF OPTIONS AND CORPORATE LIABILITIES
    BLACK, F
    SCHOLES, M
    [J]. JOURNAL OF POLITICAL ECONOMY, 1973, 81 (03) : 637 - 654
  • [2] Bunde A., 2002, SCI DISASTERS CLIMAT
  • [3] Return mapping of phases and the analysis of the gravitational clustering hierarchy
    Chiang, LY
    Coles, P
    Naselsky, P
    [J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2002, 337 (02) : 488 - 494
  • [4] INDEPENDENT COORDINATES FOR STRANGE ATTRACTORS FROM MUTUAL INFORMATION
    FRASER, AM
    SWINNEY, HL
    [J]. PHYSICAL REVIEW A, 1986, 33 (02): : 1134 - 1140
  • [5] Characterizing black hole variability with nonlinear methods: the case of the X-ray Nova 4U 1543-47
    Gliozzi, M.
    Raeth, C.
    Papadakis, I. E.
    Reig, P.
    [J]. ASTRONOMY & ASTROPHYSICS, 2010, 512
  • [6] The energy-dependent X-ray timing characteristics of the narrow-line Seyfert 1 Mrk 766
    Markowitz, A.
    Papadakis, I.
    Arevalo, P.
    Turner, T. J.
    Miller, L.
    Reeves, J. N.
    [J]. ASTROPHYSICAL JOURNAL, 2007, 656 (01) : 116 - 128
  • [7] THEORY OF RATIONAL OPTION PRICING
    MERTON, RC
    [J]. BELL JOURNAL OF ECONOMICS, 1973, 4 (01): : 141 - 183
  • [8] GEOMETRY FROM A TIME-SERIES
    PACKARD, NH
    CRUTCHFIELD, JP
    FARMER, JD
    SHAW, RS
    [J]. PHYSICAL REVIEW LETTERS, 1980, 45 (09) : 712 - 716
  • [9] Scale-dependent non-Gaussianities in the WMAP data as identified by using surrogates and scaling indices
    Raeth, C.
    Banday, A. J.
    Rossmanith, G.
    Modest, H.
    Suetterlin, R.
    Gorski, K. M.
    Delabrouille, J.
    Morfill, G. E.
    [J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2011, 415 (03) : 2205 - 2214
  • [10] Model-Independent Test for Scale-Dependent Non-Gaussianities in the Cosmic Microwave Background
    Raeth, C.
    Morfill, G. E.
    Rossmanith, G.
    Banday, A. J.
    Gorski, K. M.
    [J]. PHYSICAL REVIEW LETTERS, 2009, 102 (13)