-
1
-
-
0000501589
-
Fractional Brownian motion, fractional noises and applications
-
B. Mandelbrot and J. Van Ness, Fractional Brownian motion, fractional noises and applications, SIAM Rev. 10 (1968) 422-437.
-
(1968)
SIAM Rev
, vol.10
, pp. 422-437
-
-
Mandelbrot, B.1
Van Ness, J.2
-
3
-
-
0003879309
-
Multifractional Brownian Motion: Definition and Preliminary Results
-
INRIA
-
R. Peltier and J. Lévy Véhel, Multifractional Brownian Motion: Definition and Preliminary Results (Rapport Technique INRIA, 1996).
-
(1996)
Rapport Technique
-
-
Peltier, R.1
Lévy Véhel, J.2
-
6
-
-
1642549817
-
Identification of the Hurst index of a step fractional Brownian motion
-
A. Benassi, P. Bertrand, S. Cohen and J. Istas, Identification of the Hurst index of a step fractional Brownian motion, Stat. Inference Stochastic Process. 3(1/2) (2000) 101-111.
-
(2000)
Stat. Inference Stochastic Process
, vol.3
, Issue.1-2
, pp. 101-111
-
-
Benassi, A.1
Bertrand, P.2
Cohen, S.3
Istas, J.4
-
7
-
-
33749515596
-
A central limit theorem for the generalized quadratic variations of the step fractional Brownian motion, to appear in Stat. Inference Stochastic
-
A. Ayache, P. Bertrand and J. Lévy Véhel, A central limit theorem for the generalized quadratic variations of the step fractional Brownian motion, to appear in Stat. Inference Stochastic Process. 10 (2007) 1-27.
-
(2007)
Process
, vol.10
, pp. 1-27
-
-
Ayache, A.1
Bertrand, P.2
Lévy Véhel, J.3
-
8
-
-
4544260770
-
Stable stationary processes related to cyclic flows
-
3A, 2222-2260
-
V. Pipiras and M. S. Taqqu, Stable stationary processes related to cyclic flows, Ann. Prob. 23(3A) (2004) 2222-2260.
-
(2004)
Ann. Prob
, vol.23
-
-
Pipiras, V.1
Taqqu, M.S.2
-
11
-
-
0345276870
-
Wavelet based estimation of local Kolmogorov turbulence
-
eds. P. Doukhan, G. Oppenheim and M. S. Taqqu Birkhäuser
-
G. Papanicolaou and K. Sølna, Wavelet based estimation of local Kolmogorov turbulence, in Long-Range Dependence: Theory and Applications, eds. P. Doukhan, G. Oppenheim and M. S. Taqqu (Birkhäuser, 2002), pp. 473-506.
-
(2002)
Long-Range Dependence: Theory and Applications
, pp. 473-506
-
-
Papanicolaou, G.1
Sølna, K.2
-
12
-
-
0027373239
-
Open-loop and closed-loop control of posture: A random walk analysis of center-of-pressure trajectories
-
J. J. Collins and C. J. De Luca, Open-loop and closed-loop control of posture: a random walk analysis of center-of-pressure trajectories, Exp. Brain Res. 9 (1993) 308-318.
-
(1993)
Exp. Brain Res
, vol.9
, pp. 308-318
-
-
Collins, J.J.1
De Luca, C.J.2
-
13
-
-
0031540977
-
Arbitrage with fractional Brownian motion
-
L. C. G. Rogers, Arbitrage with fractional Brownian motion, Math. Fin. 7 (1997) 95-105.
-
(1997)
Math. Fin
, vol.7
, pp. 95-105
-
-
Rogers, L.C.G.1
-
14
-
-
0242467551
-
Gaussian moving averages, semimartingales and option pricing
-
P. Cheridito, Gaussian moving averages, semimartingales and option pricing, Stochastic Process. Appl. 109(1) (2003) 47-68.
-
(2003)
Stochastic Process. Appl
, vol.109
, Issue.1
, pp. 47-68
-
-
Cheridito, P.1
-
16
-
-
1642419174
-
On the identification of the pointwise Hölder exponent of the generalized multifractional Brownian motion
-
A. Ayache and J. Lévy Véhel, On the identification of the pointwise Hölder exponent of the generalized multifractional Brownian motion, Stochastic Process. Appl. 111 (2004) 119-156.
-
(2004)
Stochastic Process. Appl
, vol.111
, pp. 119-156
-
-
Ayache, A.1
Lévy Véhel, J.2
-
18
-
-
0002188727
-
Large-sample properties of parameter estimates for strongly dependent Gaussian time series
-
R. Fox and M. S. Taqqu, Large-sample properties of parameter estimates for strongly dependent Gaussian time series, Ann. Stat. 14 (1986) 517-532.
-
(1986)
Ann. Stat
, vol.14
, pp. 517-532
-
-
Fox, R.1
Taqqu, M.S.2
-
19
-
-
0001318609
-
Efficient parameter estimation for self-similar processes
-
R. Dahlhaus, Efficient parameter estimation for self-similar processes, Ann. Stat. 17 (1989) 1749-1766.
-
(1989)
Ann. Stat
, vol.17
, pp. 1749-1766
-
-
Dahlhaus, R.1
-
20
-
-
0001898682
-
A central limit theorem for quadratic forms in strongly dependent linear variables and its applications to the asymptotic normality of Whittle estimate
-
L. Giraitis and D. Surgailis, A central limit theorem for quadratic forms in strongly dependent linear variables and its applications to the asymptotic normality of Whittle estimate, Prob. Theory Rel. Fields. 86 (1990) 87-104.
-
(1990)
Prob. Theory Rel. Fields
, vol.86
, pp. 87-104
-
-
Giraitis, L.1
Surgailis, D.2
-
21
-
-
0026628466
-
Wavelet analysis and synthesis of fractional Brownian motion
-
P. Flandrin, Wavelet analysis and synthesis of fractional Brownian motion, IEEE Trans. Inform. Theory 38 (1992) 910-917.
-
(1992)
IEEE Trans. Inform. Theory
, vol.38
, pp. 910-917
-
-
Flandrin, P.1
-
22
-
-
14644410506
-
Self-similarity and long-range dependence through the wavelet lens
-
eds. P. Doukhan, G. Oppenheim and M. S. Taqqu Birkhäuser
-
P. Abry, P. Flandrin, M. Taqqu and D. Veitch, Self-similarity and long-range dependence through the wavelet lens, in Long-range Dependence: Theory and Applications, eds. P. Doukhan, G. Oppenheim and M. S. Taqqu (Birkhäuser, 2002), pp. 527-556.
-
(2002)
Long-range Dependence: Theory and Applications
, pp. 527-556
-
-
Abry, P.1
Flandrin, P.2
Taqqu, M.3
Veitch, D.4
-
24
-
-
33845704773
-
Identification of the multiscale fractional Brownian motion with biomechanical applications, to appear in J
-
J. M. Bardet and P. Bertrand, Identification of the multiscale fractional Brownian motion with biomechanical applications, to appear in J. Time Ser. Anal. 28 (2007) 1-52.
-
(2007)
Time Ser. Anal
, vol.28
, pp. 1-52
-
-
Bardet, J.M.1
Bertrand, P.2
-
25
-
-
0001249935
-
A general version of the fundamental theorem of asset pricing
-
F. Delbaen and W. Schachermayer, A general version of the fundamental theorem of asset pricing, Math. Ann. 300 (1994) 463-520.
-
(1994)
Math. Ann
, vol.300
, pp. 463-520
-
-
Delbaen, F.1
Schachermayer, W.2
-
26
-
-
61549095573
-
Automatic determination of the different control mechanisms in upright position by a wavelet method
-
Istanbul
-
P. Bertrand, J. M, Bardet, M. Dabonneville, A. Mouzat and P. Vaslin, Automatic determination of the different control mechanisms in upright position by a wavelet method, Proceedings of the IEEE Eng. Med. Biol. Soc., Istanbul, 2001, pp. 343-352.
-
(2001)
Proceedings of the IEEE Eng. Med. Biol. Soc
, pp. 343-352
-
-
Bertrand, P.1
Bardet, J.M.2
Dabonneville, M.3
Mouzat, A.4
Vaslin, P.5
-
27
-
-
0036539276
-
Statistical study of the wavelet analysis of fractional Brownian motion
-
J. M. Bardet, Statistical study of the wavelet analysis of fractional Brownian motion, IEEE Trans. Inform. Theory 48 (2002) 991-999.
-
(2002)
IEEE Trans. Inform. Theory
, vol.48
, pp. 991-999
-
-
Bardet, J.M.1
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