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Volumn 10, Issue 1, 2007, Pages 49-73

Estimating the Hurst parameter

Author keywords

Central limit theorem; Estimation; Fractional Brownian motion; Gaussian processes; Hermite polynomials

Indexed keywords


EID: 33749528500     PISSN: 13870874     EISSN: 15729311     Source Type: Journal    
DOI: 10.1007/s11203-005-0059-6     Document Type: Article
Times cited : (11)

References (15)
  • 1
    • 0009145636 scopus 로고    scopus 로고
    • Almost sure oscillation of certain random processes
    • 3
    • J.-M. Azaïs M. Wschebor 1996 Almost sure oscillation of certain random processes Bernoulli 2 3 257 270
    • (1996) Bernoulli , vol.2 , pp. 257-270
    • Azaïs, J.-M.1    Wschebor, M.2
  • 3
    • 15944386677 scopus 로고    scopus 로고
    • Convergence in fractional models and applications
    • C. Berzin J.R. León 2005 Convergence in fractional models and applications Electron. J. Probab. 10 326 370
    • (2005) Electron. J. Probab. , vol.10 , pp. 326-370
    • Berzin, C.1    León, J.R.2
  • 4
    • 0000323474 scopus 로고
    • Central limit theorems for non-linear functionals of Gaussian fields
    • P. Breuer P. Major 1983 Central limit theorems for non-linear functionals of Gaussian fields J. Multivariate Anal. 13 425 441
    • (1983) J. Multivariate Anal. , vol.13 , pp. 425-441
    • Breuer, P.1    Major, P.2
  • 5
    • 14844364925 scopus 로고    scopus 로고
    • Estimating the parameters of a fractional Brownian motion by discrete variations of its sample paths
    • J.-F. Coeurjolly 2001 Estimating the parameters of a fractional Brownian motion by discrete variations of its sample paths Stat. Inference Stochastic Process. 4 199 277
    • (2001) Stat. Inference Stochastic Process. , vol.4 , pp. 199-277
    • Coeurjolly, J.-F.1
  • 6
    • 0002361801 scopus 로고
    • Self-intersection gauge for random walks and for Brownian motion
    • 1
    • E.B. Dynkin 1988 Self-intersection gauge for random walks and for Brownian motion Ann. Probab. 16 1 1 57
    • (1988) Ann. Probab. , vol.16 , pp. 1-57
    • Dynkin, E.B.1
  • 7
    • 84981374637 scopus 로고
    • Estimation of fractal index and fractal dimension of a Gaussian process by counting the number of level crossings
    • 6
    • A. Feuerverger P. Hall A.T.A. Wood 1994 Estimation of fractal index and fractal dimension of a Gaussian process by counting the number of level crossings J. Time Ser. Anal. 15 6 587 606
    • (1994) J. Time Ser. Anal. , vol.15 , pp. 587-606
    • Feuerverger, A.1    Hall, P.2    Wood, A.T.A.3
  • 8
    • 0026628466 scopus 로고
    • Wavelet analysis and synthesis of fractional Brownian motion
    • P. Flandrin 1992 Wavelet analysis and synthesis of fractional Brownian motion IEEE Trans. Inf. Theory 38 910 917
    • (1992) IEEE Trans. Inf. Theory , vol.38 , pp. 910-917
    • Flandrin, P.1
  • 9
    • 0002188727 scopus 로고
    • Large-sample properties of parameter estimates for strongly dependent Gaussian stationary time series.
    • 6
    • R. Fox M.S. Taqqu 1986 Large-sample properties of parameter estimates for strongly dependent Gaussian stationary time series. Ann. Stat. 14 6 517 532
    • (1986) Ann. Stat. , vol.14 , pp. 517-532
    • Fox, R.1    Taqqu, M.S.2
  • 10
    • 0002287017 scopus 로고
    • Limiting distributions of nonlinear vector functions of stationary Gaussian processes
    • 3
    • H.-C. Ho T.-C. Sun 1990 Limiting distributions of nonlinear vector functions of stationary Gaussian processes Ann. Probab. 18 3 1159 1173
    • (1990) Ann. Probab. , vol.18 , pp. 1159-1173
    • Ho, H.-C.1    Sun, T.-C.2
  • 11
    • 0031521238 scopus 로고    scopus 로고
    • Quadratic variations and estimation of the local Hölder index of a gaussian process
    • 4
    • J. Istas G. Lang 1997 Quadratic variations and estimation of the local Hölder index of a gaussian process Ann. Inst. Poincaré 33 4 407 436
    • (1997) Ann. Inst. Poincaré , vol.33 , pp. 407-436
    • Istas, J.1    Lang, G.2
  • 12
    • 0042511045 scopus 로고    scopus 로고
    • Parametric estimation for Gaussian long-range dependent processes based on the log-periodogram
    • 4
    • C. Ludeña 2000 Parametric estimation for Gaussian long-range dependent processes based on the log-periodogram Bernoulli 6 4 709 728
    • (2000) Bernoulli , vol.6 , pp. 709-728
    • Ludeña, C.1
  • 13
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • B.B. Mandelbrot J.W. Van Ness 1968 Fractional Brownian motions, fractional noises and applications SIAM Rev. 10 422 437
    • (1968) SIAM Rev. , vol.10 , pp. 422-437
    • Mandelbrot, B.B.1    Van Ness, J.W.2
  • 14
    • 0033236911 scopus 로고    scopus 로고
    • Broad band log-periodogram regression of time series with long range dependence. Ann
    • E. Moulines P. Soulier 1999 Broad band log-periodogram regression of time series with long range dependence. Ann Stat 27 1415 1439
    • (1999) Stat , vol.27 , pp. 1415-1439
    • Moulines, E.1    Soulier, P.2
  • 15
    • 0005726766 scopus 로고    scopus 로고
    • Whittle pseudo-maximun likelihood estimation of nonstationary time series
    • C. Velazco P.M. Robinson 2000 Whittle pseudo-maximun likelihood estimation of nonstationary time series JASA 95 1229 1243
    • (2000) JASA , vol.95 , pp. 1229-1243
    • Velazco, C.1    Robinson, P.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.