메뉴 건너뛰기




Volumn 43, Issue 1, 2015, Pages 323-351

Intermittent process analysis with scattering moments

Author keywords

Generalized method of moments; Intermittency; Multifractal; Spectral analysis; Wavelet analysis

Indexed keywords


EID: 84922511550     PISSN: 00905364     EISSN: 21688966     Source Type: Journal    
DOI: 10.1214/14-AOS1276     Document Type: Article
Times cited : (77)

References (40)
  • 1
    • 0003159396 scopus 로고    scopus 로고
    • Wavelets for the analysis, estimation and synthesis of scaling data
    • K. Park and W. Willinger Wiley, New York
    • ABRY, P., FLANDRIN, P., TAQQU, M. S. and VEITCH, D. (2000). Wavelets for the analysis, estimation and synthesis of scaling data. In Self-Similar Network Traffic and Performance Evaluation (K. Park and W. Willinger, eds.) 39-88. Wiley, New York.
    • (2000) Self-Similar Network Traffic and Performance Evaluation , pp. 39-88
    • Abry, P.1    Flandrin, P.2    Taqqu, M.S.3    Veitch, D.4
  • 3
  • 4
    • 36849005475 scopus 로고    scopus 로고
    • Continuous cascade models for asset returns
    • MR2381693
    • BACRY, E., KOZHEMYAK, A. and MUZY, J.-F. (2008). Continuous cascade models for asset returns. J. Econom. Dynam. Control 32 156-199. MR2381693
    • (2008) J. Econom. Dynam. Control , vol.32 , pp. 156-199
    • Bacry, E.1    Kozhemyak, A.2    Muzy, J.-F.3
  • 5
    • 84877309885 scopus 로고    scopus 로고
    • Log-normal continuous cascade model of asset returns: Aggregation properties and estimation
    • MR3054792
    • BACRY, E., KOZHEMYAK, A. andM UZY, J. F. (2013). Log-normal continuous cascade model of asset returns: Aggregation properties and estimation. Quant. Finance 13 795-818.\ MR3054792
    • (2013) Quant. Finance , vol.13 , pp. 795-818
    • Bacry, E.1    Kozhemyak, A.2    Uzy J F, M.3
  • 6
    • 0037901907 scopus 로고    scopus 로고
    • Log-infinitely divisible multifractal processes
    • MR2021198
    • BACRY, E. and MUZY, J. F. (2003). Log-infinitely divisible multifractal processes. Comm. Math. Phys. 236 449-475. MR2021198
    • (2003) Comm. Math. Phys. , vol.236 , pp. 449-475
    • Bacry, E.1    Muzy, J.F.2
  • 7
    • 33845463207 scopus 로고
    • Singularity spectrum of fractal signals from wavelet analysis: Exact results
    • MR1203712
    • BACRY, E., MUZY, J. F. and ARNEODO, A. (1993). Singularity spectrum of fractal signals from wavelet analysis: Exact results. J. Stat. Phys. 70 635-674. MR1203712
    • (1993) J. Stat. Phys. , vol.70 , pp. 635-674
    • Bacry, E.1    Muzy, J.F.2    Arneodo, A.3
  • 8
    • 73949151589 scopus 로고    scopus 로고
    • Spectral estimation of the fractional order of a Lévy process
    • MR2589324
    • BELOMESTNY, D. (2010). Spectral estimation of the fractional order of a Lévy process. Ann. Statist. 38 317-351. MR2589324
    • (2010) Ann. Statist. , vol.38 , pp. 317-351
    • Belomestny, D.1
  • 9
    • 84879877798 scopus 로고    scopus 로고
    • Invariant scattering convolution networks
    • BRUNA, J. andM ALLAT, S. (2013). Invariant scattering convolution networks. IEEE Transactions of PAMI 35 1872-1886.
    • (2013) IEEE Transactions of PAMI , vol.35 , pp. 1872-1886
    • Bruna, J.1    Allat S, M.2
  • 11
    • 0042807334 scopus 로고    scopus 로고
    • Lagrangian and Eulerian velocity intermittency
    • CASTAING, B. (2002). Lagrangian and Eulerian velocity intermittency. Eur. Phys. J. B 29 357-358.
    • (2002) Eur. Phys. J. B , vol.29 , pp. 357-358
    • Castaing, B.1
  • 12
    • 0000200444 scopus 로고    scopus 로고
    • Intermittency in a turbulent low temperature gaseous helium jet
    • CHANAL, O., CHABAUD, B., CASTAING, B. and HEBRAL, B. (2000). Intermittency in a turbulent low temperature gaseous helium jet. Eur. Phys. J. B 17 309-317.
    • (2000) Eur. Phys. J. B , vol.17 , pp. 309-317
    • Chanal, O.1    Chabaud, B.2    Castaing, B.3    Hebral, B.4
  • 13
    • 84897396035 scopus 로고    scopus 로고
    • Scattering transform for intrapartum fetal heart rate variability fractal analysis: A case-control study
    • CHUDACEK, V., ANDEN, J.,MALLAT, S., ABRY, P. and DORET, M. (2014). Scattering transform for intrapartum fetal heart rate variability fractal analysis: A case-control study. IEEE Trans. Biomed. Eng. 61 1100-1108.
    • (2014) IEEE Trans. Biomed. Eng. , vol.61 , pp. 1100-1108
    • Chudacek, V.1    Anden, J.2    Mallat, S.3    Abry, P.4    Doret, M.5
  • 14
    • 0000356179 scopus 로고    scopus 로고
    • Intermittency of 1d velocity spatial profiles in turbulence: A magnitude cumulant analysis
    • DELOUR, J., MUZY, J. F. and ARNEODO, A. (2001). Intermittency of 1d velocity spatial profiles in turbulence: A magnitude cumulant analysis. Eur. Phys. J. B 23 243.
    • (2001) Eur. Phys. J. B , vol.23 , pp. 243
    • Delour, J.1    Muzy, J.F.2    Arneodo, A.3
  • 16
    • 0000414660 scopus 로고
    • Large sample properties of generalized method of moments estimators
    • MR0666123
    • HANSEN, L. P. (1982). Large sample properties of generalized method of moments estimators. Econometrica 50 1029-1054. MR0666123
    • (1982) Econometrica , vol.50 , pp. 1029-1054
    • Hansen, L.P.1
  • 17
    • 0031515850 scopus 로고    scopus 로고
    • Multifractal formalism for functions part I: Results valid for all functions
    • JAFFARD, S. (1997).Multifractal formalism for functions part I: Results valid for all functions. SIAM J. Math. Anal. 28 944-970.
    • (1997) SIAM J. Math. Anal. , vol.28 , pp. 944-970
    • Jaffard, S.1
  • 18
    • 0031532386 scopus 로고    scopus 로고
    • Multifractal formalism for functions part II: Self-similar functions
    • JAFFARD, S. (1997). Multifractal formalism for functions part II: Self-similar functions. SIAM J. Math. Anal. 28 971-998.
    • (1997) SIAM J. Math. Anal. , vol.28 , pp. 971-998
    • Jaffard, S.1
  • 20
    • 84966697559 scopus 로고    scopus 로고
    • Wavelet leaders in multifractal analysis
    • Birkhäuser, Basel. MR2297921
    • JAFFARD, S., LASHERMES, B. and ABRY, P. (2007). Wavelet leaders in multifractal analysis. In Wavelet Analysis and Applications 201-246. Birkhäuser, Basel. MR2297921
    • (2007) Wavelet Analysis and Applications , pp. 201-246
    • Jaffard, S.1    Lashermes, B.2    Abry, P.3
  • 21
    • 0009402820 scopus 로고    scopus 로고
    • Wavelet methods for pointwise regularity and local oscillations of functions
    • MR1342019
    • JAFFARD, S. and MEYER, Y. (1996). Wavelet methods for pointwise regularity and local oscillations of functions. Mem. Amer. Math. Soc. 123 x+110. MR1342019
    • (1996) Mem. Amer. Math. Soc. , vol.123 , pp. x+110
    • Jaffard, S.1    Meyer, Y.2
  • 25
    • 84864324516 scopus 로고    scopus 로고
    • Group invariant scattering
    • MR2957703
    • MALLAT, S. (2012). Group invariant scattering. Comm. Pure Appl. Math. 65 1331-1398. MR2957703
    • (2012) Comm. Pure Appl. Math. , vol.65 , pp. 1331-1398
    • Mallat, S.1
  • 26
    • 33746244217 scopus 로고
    • In Turbulence of Fluids and Plasmas. Interscience, New York
    • MANDELBROT, B. B. (1969). On intermittent free turbulence. In Turbulence of Fluids and Plasmas. Interscience, New York.
    • (1969) On Intermittent Free Turbulence.
    • Mandelbrot, B.B.1
  • 27
    • 0003978495 scopus 로고    scopus 로고
    • Intermittent turbulence in self-similar cascades: Divergence of high moments and dimension of the carrier
    • Springer, New York
    • MANDELBROT, B. B. (1999). Intermittent turbulence in self-similar cascades: Divergence of high moments and dimension of the carrier. In Multifractals and 1/f Noise 317-357. Springer, New York.
    • (1999) Multifractals and 1/f Noise , pp. 317-357
    • Mandelbrot, B.B.1
  • 28
    • 0000883977 scopus 로고
    • A method of simulated moments for estimation of discrete response models without numerical integration
    • MR1014539
    • M C FADDEN, D. (1989). A method of simulated moments for estimation of discrete response models without numerical integration. Econometrica 57 995-1026. MR1014539
    • (1989) Econometrica , vol.57 , pp. 995-1026
    • Fadden, M.C.1
  • 29
    • 41349120212 scopus 로고    scopus 로고
    • Multifractal stationary random measures and multifractal random walks with log infinitely divisible scaling laws
    • MUZY, J. F. and BACRY, E. (2002). Multifractal stationary random measures and multifractal random walks with log infinitely divisible scaling laws. Phys. Rev. E 66 056121.
    • (2002) Phys. Rev. E , vol.66 , pp. 056121
    • Muzy, J.F.1    Bacry, E.2
  • 30
    • 6144261513 scopus 로고
    • Multifractal formalism for fractal signals: The structure-function approach versus the wavelet-transform modulus-maxima method
    • MUZY, J.-F., BACRY, E. andARNEODO, A. (1993). Multifractal formalism for fractal signals: The structure-function approach versus the wavelet-transform modulus-maxima method. Phys. Rev. E 47 875.
    • (1993) Phys. Rev. E , vol.47 , pp. 875
    • Muzy, J.-F.1    Bacry, E.2    Arneodo, A.3
  • 31
    • 0002127801 scopus 로고    scopus 로고
    • Modeling fluctuations of financial time series: From cascade process to stochastic volatility model
    • MUZY, J. F., DELOUR, J. and BACRY, E. (2000). Modeling fluctuations of financial time series: From cascade process to stochastic volatility model. Eur. Phys. J. B 17 537-548.
    • (2000) Eur. Phys. J. B , vol.17 , pp. 537-548
    • Muzy, J.F.1    Delour, J.2    Bacry, E.3
  • 33
    • 79954611545 scopus 로고    scopus 로고
    • A new approach for the dynamics of ultra high frequency data: The model with uncertainty zones
    • ROBERT, C. and ROSENBAUM, M. (2011). A new approach for the dynamics of ultra high frequency data: The model with uncertainty zones. J. Financ. Econom. 9 344-366.
    • (2011) J. Financ. Econom. , vol.9 , pp. 344-366
    • Robert, C.1    Rosenbaum, M.2
  • 36
    • 85032751558 scopus 로고    scopus 로고
    • Bootstrap for empirical multifractal analysis
    • WENDT, H., ABRY, P. and JAFFARD, S. (2007). Bootstrap for empirical multifractal analysis. IEEE Signal Process. Mag. 24 38-48.
    • (2007) IEEE Signal Process. Mag. , vol.24 , pp. 38-48
    • Wendt, H.1    Abry, P.2    Jaffard, S.3
  • 37
    • 60749096234 scopus 로고    scopus 로고
    • Wavelet leaders and bootstrap for multifractal analysis of images
    • WENDT, H., ROUX, S. G., ABRY, P. and JAFFARD, S. (2009). Wavelet leaders and bootstrap for multifractal analysis of images. Signal Proces. 89 1100-1114.
    • (2009) Signal Proces. , vol.89 , pp. 1100-1114
    • Wendt, H.1    Roux, S.G.2    Abry, P.3    Jaffard, S.4
  • 38
    • 0002183461 scopus 로고
    • The influence of fluctuations in energy dissipation on the shape of turbulence characteristics in the inertial interval
    • YAGLOM, A. M. (1966). The influence of fluctuations in energy dissipation on the shape of turbulence characteristics in the inertial interval. Soviet Physics Dockl. 11 26.
    • (1966) Soviet Physics Dockl. , vol.11 , pp. 26
    • Yaglom, A.M.1
  • 40
    • 80053488461 scopus 로고    scopus 로고
    • Intermittency and geometrical statistics of three-dimensional homogeneous magnetohydrodynamic turbulence: A wavelet viewpoint
    • Intermittency and geometrical statistics of three-dimensional homogeneous magnetohydrodynamic turbulence: A wavelet viewpoint. Phys. Plasmas 18 092304.
    • Phys. Plasmas , vol.18 , pp. 092304


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.