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Volumn 81, Issue 1, 2011, Pages 146-152

Fractional normal inverse Gaussian diffusion

Author keywords

Continuous time random walk; Fractional Brownian motion; Normal inverse Gaussian process; Subordination

Indexed keywords


EID: 78549282374     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2010.10.007     Document Type: Article
Times cited : (22)

References (28)
  • 2
    • 77955110866 scopus 로고    scopus 로고
    • Stochastic models for relativistic diffusion
    • Baeumer B., Meerschaert M.M., Naber M. Stochastic models for relativistic diffusion. Phys. Rev. E 2010, 82:1132-1136.
    • (2010) Phys. Rev. E , vol.82 , pp. 1132-1136
    • Baeumer, B.1    Meerschaert, M.M.2    Naber, M.3
  • 3
    • 0000078998 scopus 로고    scopus 로고
    • From continuous time random walks to the fractional Fokker-Planck equation
    • Barkai E., Metzler R., Klafter J. From continuous time random walks to the fractional Fokker-Planck equation. Phys. Rev. E 2000, 61:132-138.
    • (2000) Phys. Rev. E , vol.61 , pp. 132-138
    • Barkai, E.1    Metzler, R.2    Klafter, J.3
  • 4
    • 0031524138 scopus 로고    scopus 로고
    • Normal inverse Gaussian distributions and stochastic volatility modeling
    • Barndorff-Nielsen O.E. Normal inverse Gaussian distributions and stochastic volatility modeling. Scand. J. Statist. 1997, 24:1-13.
    • (1997) Scand. J. Statist. , vol.24 , pp. 1-13
    • Barndorff-Nielsen, O.E.1
  • 5
    • 0002443909 scopus 로고    scopus 로고
    • Processes of normal inverse Gaussian type
    • Barndorff-Nielsen O.E. Processes of normal inverse Gaussian type. Finance Stochast. 1998, 2:41-68.
    • (1998) Finance Stochast. , vol.2 , pp. 41-68
    • Barndorff-Nielsen, O.E.1
  • 6
    • 3242750610 scopus 로고    scopus 로고
    • Limit theorems for continuous-time random walks with two time scales
    • Becker-Kern P., Meerschaert M.M., Scheffler H. Limit theorems for continuous-time random walks with two time scales. J. Appl. Probab. 2004, 41:455-466.
    • (2004) J. Appl. Probab. , vol.41 , pp. 455-466
    • Becker-Kern, P.1    Meerschaert, M.M.2    Scheffler, H.3
  • 8
    • 0009537077 scopus 로고
    • Limit theorems for occupation times for Markov processes
    • Bingham N.H. Limit theorems for occupation times for Markov processes. Z. Warscheinlichkeitsth 1971, 17:1-22.
    • (1971) Z. Warscheinlichkeitsth , vol.17 , pp. 1-22
    • Bingham, N.H.1
  • 10
    • 0000448413 scopus 로고
    • The invariance principle for stationary processes
    • Davydov Y.A. The invariance principle for stationary processes. Theory Probab. Appl. 1970, 15:487-498.
    • (1970) Theory Probab. Appl. , vol.15 , pp. 487-498
    • Davydov, Y.A.1
  • 12
    • 77956890381 scopus 로고
    • Fractional Differencing
    • Hosking J.R.M. Fractional Differencing. Biometrika 1981, 68:165-176.
    • (1981) Biometrika , vol.68 , pp. 165-176
    • Hosking, J.R.M.1
  • 15
    • 0000501589 scopus 로고
    • Fractional Brownian motion, fractional noises and applications
    • Mandelbrot B.B, Van Ness J.W. Fractional Brownian motion, fractional noises and applications. SIAM Rev. 1968, 10:422-438.
    • (1968) SIAM Rev. , vol.10 , pp. 422-438
    • Mandelbrot, B.B.1    Van Ness, J.W.2
  • 17
    • 4043102385 scopus 로고    scopus 로고
    • Limit theorems for continuous-time random walks with infinite mean waiting times
    • Meerschaert M.M., Scheffler H. Limit theorems for continuous-time random walks with infinite mean waiting times. J. Appl. Probab. 2004, 41:623-638.
    • (2004) J. Appl. Probab. , vol.41 , pp. 623-638
    • Meerschaert, M.M.1    Scheffler, H.2
  • 18
    • 0002641421 scopus 로고    scopus 로고
    • The random walk's guide to anomalous diffusion: a fractional dynamics approach
    • Metzler R., Klafter J. The random walk's guide to anomalous diffusion: a fractional dynamics approach. Phys. Rep. 2000, 339:1-77.
    • (2000) Phys. Rep. , vol.339 , pp. 1-77
    • Metzler, R.1    Klafter, J.2
  • 19
    • 4043151477 scopus 로고    scopus 로고
    • The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
    • Metzler R., Klafter J. The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics. J. Phys. A 2004, 37:R161-R208.
    • (2004) J. Phys. A , vol.37
    • Metzler, R.1    Klafter, J.2
  • 20
    • 78549292782 scopus 로고
    • A fractal-based stochastic interpolation scheme in subsurface hydrology
    • Molz F.J., Bowman G.K. A fractal-based stochastic interpolation scheme in subsurface hydrology. Water Resour. Res. 1993, 32:1183-1195.
    • (1993) Water Resour. Res. , vol.32 , pp. 1183-1195
    • Molz, F.J.1    Bowman, G.K.2
  • 21
  • 22
    • 70449127728 scopus 로고    scopus 로고
    • Approximation for the normal inverse Gaussian process using random sums
    • Pacheco-Gonzalez C.G. Approximation for the normal inverse Gaussian process using random sums. Stoch. Anal. Appl. 2009, 27:1191-1200.
    • (2009) Stoch. Anal. Appl. , vol.27 , pp. 1191-1200
    • Pacheco-Gonzalez, C.G.1
  • 25
    • 78549235098 scopus 로고    scopus 로고
    • Five years of continuous-time random walks in econophysics. In: A. Namatame (Ed.), Proceedings of WEHIA 2004, Kyoto.
    • Scalas, E., 2004. Five years of continuous-time random walks in econophysics. In: A. Namatame (Ed.), Proceedings of WEHIA 2004, Kyoto.
    • (2004)
    • Scalas, E.1
  • 26
    • 35949027117 scopus 로고
    • Stochastic transport in a disordered solid. I
    • Scher H., Lax M. Stochastic transport in a disordered solid. I. Phys. Rev. B. 1973, 7:4491-4502.
    • (1973) Phys. Rev. B. , vol.7 , pp. 4491-4502
    • Scher, H.1    Lax, M.2
  • 27
    • 0001790102 scopus 로고
    • Statistical aspects of ARCH and stochastic volatility
    • Chapman & Hall, London, D.R. Cox, D.V. Hinkley, O.E. Barndorff-Nielsen (Eds.)
    • Shephard N. Statistical aspects of ARCH and stochastic volatility. In Time Series Models. In Econometrics, Finance and Others Fields 1995, 1-67. Chapman & Hall, London. D.R. Cox, D.V. Hinkley, O.E. Barndorff-Nielsen (Eds.).
    • (1995) In Time Series Models. In Econometrics, Finance and Others Fields , pp. 1-67
    • Shephard, N.1


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