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Original Articles

Smoothed detrended fluctuation analysis

Pages 3388-3397 | Received 11 Dec 2015, Accepted 12 Feb 2016, Published online: 25 Feb 2016

References

  • Beran J. Statistics for long memory processes. New York: Chapman & Hall; 1994.
  • Hurst HR. Long-term storage in reservoirs. Trans Am Soc Civil Eng. 1951;116:770–799.
  • Peng C, Buldyrev SV, Havlin S, Simons M, Stanley HE, Goldberger AL. Mosaic organization of DNA nucleotides. Phys Rev E. 1994;49(5):1685–1689. doi: 10.1103/PhysRevE.49.1685
  • Grech D, Mazur Z. Can one make any crash prediction in finance using the local Hurst exponent idea?. Phys A. 2004;336:133–145. doi: 10.1016/j.physa.2004.01.018
  • Grech D, Pamula G. The local Hurst exponent of the financial time series in the vicinity of crashes on the Polish stock exchange market. Phys A. 2008;387:4299–4308. doi: 10.1016/j.physa.2008.02.007
  • Grech D. Global and local approaches describing critical phenomena on the developing and developed financial markets. In: Takayasu M, Watanabe T, Takayasu H, editors. Econophysics approaches to large-scale business data and financial crisis. Tokyo: Springer; 2010. p. 149–172.
  • Yeh R-G, Shieh J-S, Han Y-Y, Wang Y-J, Tseng S-C. Detrended fluctuation analyses of short-term heart rate variability in surgical intensive care units. Biomed Eng–Appl Basis Commun. 2006;18:67–72. doi: 10.4015/S1016237206000130
  • Koscielny-Bunde E, Roman HE, Bunde A, Havlin S, Schellnhuber H-J. Long-range power-law correlations in local daily temperature fluctuations. Phil Mag B. 1998;77:1331–1340. doi: 10.1080/13642819808205026
  • Bola M, Gall C, Sabel BA. Disturbed temporal dynamics of brain synchronization in vision loss. Cortex. 2015;67:134–146. doi: 10.1016/j.cortex.2015.03.020
  • Choi J-S, Kang D-W, Seo J-W, Tack G-R. Reliability of the walking speed and gait dynamics variables while walking on a feedback-controlled treadmill. J Biomech. 2015;48(7):1336–1339. doi: 10.1016/j.jbiomech.2015.02.047
  • Crato N, Linhares RR, Lopes SRC. Statistical properties of detrended fluctuation analysis. J Statist Comput Simul. 2010;80(6):625–641. doi: 10.1080/00949650902755152
  • Esen H, Ata N, Esen F. Transitions in skin blood flow fractal scaling: the importance of fluctuation amplitude in microcirculation. Microvascular Res. 2015;97:6–12. doi: 10.1016/j.mvr.2014.07.014
  • Rhea CK, Kiefer AW, Wright WG, Raisbeck LD, Haran FJ. Interpretation of postural control may change due to data processing techniques. Gait Posture. 2015;41(2):731–735. doi: 10.1016/j.gaitpost.2015.01.008
  • Setty VA, Sharma AS. Characterizing detrended fluctuation analysis of multifractional Brownian motion. Phys A: Statist Mech Appl. 2015;419:698–706. doi: 10.1016/j.physa.2014.10.016
  • Taqqu MS, Teverovsky V, Willinger W. Estimators for long-range dependence: an empirical study. Fractals. 1995;3(4):785–798. doi: 10.1142/S0218348X95000692
  • Bardet J-M, Kammoun I. Asymptotic properties of the detrended fluctuation analysis of long-range dependence processes. IEEE Trans Inf Theory. 2008;54(5):2041–2052. doi: 10.1109/TIT.2008.920328
  • Donoho DL, Johnstone JM. Ideal spatial adaptation by wavelet shrinkage. Biometrika. 1994;81:425–455. doi: 10.1093/biomet/81.3.425
  • Donoho DL, Johnstone IM, Kerkyacharian G, Picard D. Wavelet shrinkage: asymptopia? J R Statist Soc. 1995;57:301–369.
  • Ogden RT. Essential wavelets for statistical applications and data analysis. Cambridge: Birkhäuser; 1997.
  • Vidakovic B. Statistical modeling by wavelets. New York: Wiley; 1999.
  • Meyer Y. Wavelets: algorithms and applications. Philadelphia: SIAM; 1993.
  • Donoho DL, Johnstone IM. Adapting to unknown smoothness via wavelet shrinkage. J Amer Statist Assoc. 1995;90:1200–1224. doi: 10.1080/01621459.1995.10476626
  • Hu K, Ivanov PC, Chen Z, Carpena P, Stanley HE. Effect of trends on detrended fluctuation analysis. Phys Rev E. 2001;64:011114.

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