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Volumn 11, Issue 6, 2005, Pages 987-1008

Identification of multifractional Brownian motion

Author keywords

Filtering; Fractional brownian motion; Functional estimation; Multifractional Brownian motion

Indexed keywords


EID: 33947392024     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.3150/bj/1137421637     Document Type: Article
Times cited : (70)

References (16)
  • 1
    • 0032555366 scopus 로고    scopus 로고
    • Identifying the multifractional function of a Gaussian process
    • Benassi, A., Cohen, S. and Istas, J. (1998) Identifying the multifractional function of a Gaussian process. Statist. Probab. Lett., 39, 337-345.
    • (1998) Statist. Probab. Lett , vol.39 , pp. 337-345
    • Benassi, A.1    Cohen, S.2    Istas, J.3
  • 2
    • 0000323474 scopus 로고
    • Central limit theorems for non-linear functionals of Gaussian fields
    • Breuer, P. and Major, P. (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
  • 4
    • 14844364925 scopus 로고    scopus 로고
    • Estimating the parameters of a fractional Brownian motion by discrete variations of its sample paths
    • Coeurjolly, J.-F. (2001) Estimating the parameters of a fractional Brownian motion by discrete variations of its sample paths. Statist. Inference Stochastic Process., 4, 199-227.
    • (2001) Statist. Inference Stochastic Process , vol.4 , pp. 199-227
    • Coeurjolly, J.-F.1
  • 5
    • 0035402790 scopus 로고    scopus 로고
    • Cramér-Rao bounds for fractional Brownian motions
    • Coeurjolly, J.-F. and Istas, J. (2001). Cramér-Rao bounds for fractional Brownian motions. Statist. Probab. Lett., 53, 435-448.
    • (2001) Statist. Probab. Lett , vol.53 , pp. 435-448
    • Coeurjolly, J.-F.1    Istas, J.2
  • 6
    • 0041012894 scopus 로고    scopus 로고
    • From self-similarity to local self-similarity: The estimation problem
    • M. Dekking, J. Lévy Véhel, E. Lutton, and C. Tricot eds, London: Springer-Verlag
    • Cohen, S. (1999) From self-similarity to local self-similarity: the estimation problem. In M. Dekking, J. Lévy Véhel, E. Lutton, and C. Tricot (eds), Fractals: Theory and Applications in Engineering, pp. 3-16. London: Springer-Verlag.
    • (1999) Fractals: Theory and Applications in Engineering , pp. 3-16
    • Cohen, S.1
  • 7
    • 0001956905 scopus 로고
    • Upright, correlated random walks: A statistical-biomechanics approach to the human postural control system
    • Collins, J.J. and De Luca, C.J. (1994) Upright, correlated random walks: A statistical-biomechanics approach to the human postural control system. Chaos, 5(1), 57-63.
    • (1994) Chaos , vol.5 , Issue.1 , pp. 57-63
    • Collins, J.J.1    De Luca, C.J.2
  • 10
    • 0031521238 scopus 로고    scopus 로고
    • Quadratic variations and estimation of the Hölder index of a Gaussian process
    • Istas, J. and Lang, G. (1997) Quadratic variations and estimation of the Hölder index of a Gaussian process. Ann. Inst. H. Poincaré Probab. Statist., 33, 407-436.
    • (1997) Ann. Inst. H. Poincaré Probab. Statist , vol.33 , pp. 407-436
    • Istas, J.1    Lang, G.2
  • 11
    • 0007197031 scopus 로고
    • Propriétés ds matrices 'bien localisées' près de leur diagonale et quelques applications
    • Jaffard, S. (1990) Propriétés ds matrices 'bien localisées' près de leur diagonale et quelques applications. Ann. Inst. H. Poincaré Anal. Non Lineaire, 7, 461-476.
    • (1990) Ann. Inst. H. Poincaré Anal. Non Lineaire , vol.7 , pp. 461-476
    • Jaffard, S.1
  • 12
    • 14244255625 scopus 로고    scopus 로고
    • Estimating the fractal dimension of a locally self-similar Gaussian process using increments
    • Kent, J.T. and Wood, A.T.A. (1997) Estimating the fractal dimension of a locally self-similar Gaussian process using increments. J. Roy. Statist. Soc. Ser. B, 59, 679-700.
    • (1997) J. Roy. Statist. Soc. Ser. B , vol.59 , pp. 679-700
    • Kent, J.T.1    Wood, A.T.A.2
  • 13
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • Mandelbrot, B. and Van Ness, J. (1968) Fractional Brownian motions, fractional noises and applications. SIAM Rev., 10, 422-437.
    • (1968) SIAM Rev , vol.10 , pp. 422-437
    • Mandelbrot, B.1    Van Ness, J.2
  • 14
    • 0003879309 scopus 로고
    • Multifractional Brownian motion: Definition and preliminary results
    • No. 2645
    • Peltier, R.-F. and Levy Véhel, J. (1995) Multifractional Brownian motion: definition and preliminary results. INRIA Research Report No. 2645.
    • (1995) INRIA Research Report
    • Peltier, R.-F.1    Levy Véhel, J.2
  • 15
    • 34250409798 scopus 로고
    • Weak convergence to fractional Brownian motion and to the Rosenblatt process
    • Taqqu, M.S. (1975) Weak convergence to fractional Brownian motion and to the Rosenblatt process. Z. Wahrscheinlichkeitstheorie Verw. Geb., 40, 203-238.
    • (1975) Z. Wahrscheinlichkeitstheorie Verw. Geb , vol.40 , pp. 203-238
    • Taqqu, M.S.1
  • 16
    • 0000095168 scopus 로고
    • Inequalities for the rth moment of a sum of random variables, 1 ≤ r ≤ 2
    • Von Bahr, B. and Esseen, C.G. (1965) Inequalities for the rth moment of a sum of random variables, 1 ≤ r ≤ 2. Ann. Math. Statist., 36, 299-303.
    • (1965) Ann. Math. Statist , vol.36 , pp. 299-303
    • Von Bahr, B.1    Esseen, C.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.