Identifying the multifractional function of a Gaussian process

Statistics and Probability Letters

Volumn 39, Issue 4, 1998, Pages 337-345

  Benassi, Albert ^a   Cohen, Serge ^b   Istas, Jacques ^c  

^a UNIVERSITÉ CLERMONT AUVERGNE   (France)

^b UNIVERSITÉ PARIS EST   (France)

^c CEMAGREF   (France)

Author keywords

Gaussian processes; Identification; Multifractional function

Indexed keywords

EID: 0032555366     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(98)00078-9     Document Type: Article

References (12)

1. Benassi, A., Cohen, S., Istas, J., Jaffard, S., 1996. Identification of filtered white noises, Stochastic Proc. Appl., to appear.
2. Benassi, A., Jaffard, S., Roux, D., 1997a. Gaussian processes and Pseudodifferential Elliptic operators. Revista Mathe. Iberoamericana 13 (1) 19-89.
3. Benassi, A., Cohen, S., Istas, J., Jaffard, S., 1997b. Identification of elliptic Gaussian random processes. In: Lévy-Véhel, J., Tricot, C. (Eds.), Fractals & Engineering, L.N.S. Springer, Berlin, pp. 115-123.
4. Canus, C., Levy-Vehel, J., 1996. Change detection in sequences of images by multifractal analysis. Proc. ICASSP-96, 7-10 May, Atlanta, GA, to appear.
5. Frisch, U., Parisi, G., 1985. Turbulence and predictability in geophysical fluid dynamics and climate dynamics. In: Ghil, M., Benzi, R., Parisi, G. (Eds.), North-Holland, Amsterdam.
6. Hall, P., Wood, A., Feuerverger, A., 1994. Estimation of fractal index and fractal dimension of a Gaussian process by counting the number of level crossings. J. Time Ser. Anal. 6, 587-606.
7. Hall, P., Wood, A., 1993. On the performance of box-counting estimators of fractal dimension. Biometrika 80, 246-252.
8. Istas, J., Lang, G., 1997. Quadratic variations and estimation of the local Holder index of a gaussian process. Ann. Inst Poincaré 33 (4), 407-437.
9. Levy-Vehel, J., 1996. Introduction to the multifractal analysis of images. In: Evertsz, C.J.G., Peitgen, H.-O., Voss R.F. (Edrs.), Fractal Geometry and Analysis,The Mandelbrot Festschrift, Curacao 1995 World Scientific, Singapore.
10. Levy-Vehel, J., Mignot, P., 1994. Multifractal Segmentation of Images. Fractals 2 (3), 371-378.
11. Mandelbrot, B., Van Ness, J., 1968. Fractional Brownian motions, fractional noises and applications. SIAM Review. 10, 422-437.
12. Peltier, R., Levy-Vehel, J., 1996. Multifractional Brownian motion: definition and preliminary results. Stochastic Proc. Appl., submitted, available on http://www-syntim.inria.fr/fractales/.