@article{AIHPB_1997__33_4_407_0, author = {Istas, Jacques and Lang, Gabriel}, title = {Quadratic variations and estimation of the local {H\"older} index of a gaussian process}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {407--436}, publisher = {Gauthier-Villars}, volume = {33}, number = {4}, year = {1997}, mrnumber = {1465796}, zbl = {0882.60032}, language = {en}, url = {http://www.numdam.org/item/AIHPB_1997__33_4_407_0/} }
TY - JOUR AU - Istas, Jacques AU - Lang, Gabriel TI - Quadratic variations and estimation of the local Hölder index of a gaussian process JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1997 SP - 407 EP - 436 VL - 33 IS - 4 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPB_1997__33_4_407_0/ LA - en ID - AIHPB_1997__33_4_407_0 ER -
%0 Journal Article %A Istas, Jacques %A Lang, Gabriel %T Quadratic variations and estimation of the local Hölder index of a gaussian process %J Annales de l'I.H.P. Probabilités et statistiques %D 1997 %P 407-436 %V 33 %N 4 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPB_1997__33_4_407_0/ %G en %F AIHPB_1997__33_4_407_0
Istas, Jacques; Lang, Gabriel. Quadratic variations and estimation of the local Hölder index of a gaussian process. Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) no. 4, pp. 407-436. http://www.numdam.org/item/AIHPB_1997__33_4_407_0/
An Introduction to Continuity, Extrema, and Related Topics for General Gaussian Processes, I.M.S. Lecture Notes-Monograph Series, Vol. 12, 1990. | MR | Zbl
,Uniform quadratic variation for Gaussian processes, Stoch. Proc. Appl., Vol. 48, 1993, pp. 191-209. | MR | Zbl
and ,Exact error evaluation in Gaussian process simulation, preprint, 1994.
,Estimation de la variance d'une diffusion, C. R. Acad. Sci., Tome 312, Série I, 1991, pp. 999-1004. | MR | Zbl
,Stationary and related stochastic processes, Wiley, New York, 1967. | MR | Zbl
and ,Strong approximation in probability and statistics, Academic Press, 1981. | MR
and ,Probabilités et statistiques, Tome 2, Masson, 1983. | MR | Zbl
and ,Orthonormal bases of compactly supported wavelets, Commun. Pure Appl. Math., Vol. 41, Nov 1988, pp. 909-996. | MR | Zbl
,Non-parametric estimation of the diffusion coefficient by wavelets methods, Scand. J. of Statist., Vol. 19, 1992, p. 317-335. | MR | Zbl
, and ,Abstract inference, Wiley, 1981. | MR | Zbl
,Variations des champs gaussiens stationnaires: applications à l'identification, Proba. Th. Rel. Fields, n° 75, 1987, pp. 179-193. | MR | Zbl
,Convergence en loi des H-variations d'un processus gaussien stationnaire, Ann. Inst. Henri Poincaré, Vol. 25, n° 3, 1989, pp. 265-282. | Numdam | MR | Zbl
and ,On the performance of box-counting estimators of fractal dimension, Biometrika, , Vol. 80, 1993, pp. 246-252. | MR | Zbl
and ,Estimation of fractal index and fractal dimension of a Gaussian process by counting the number of level crossings, J. of Time Ser. Anal., n° 6, 15, 1994, pp. 587-606. | MR | Zbl
, and ,Caractérisation fractale de la variabilité et de l'anisotropie des précipations intertropicales, C. R. Acad. Sci., Tome 307, Série II, 1988, pp. 909-914.
and ,Gaussian random processes, Springer Verlag, 1978. | MR | Zbl
and ,Wavelet coefficients of a Gaussian process and applications, Ann. Inst. Henri Poincare, Vol. 28, n° 4, 1992, pp. 537-556. | Numdam | MR | Zbl
,Estimation de la fonction de covariance d'un processus gaussien stationnaire par méthodes d'échelles, C. R. Acad. Sci., Tome 316, Série I, 1993, pp. 495-498. | MR | Zbl
and ,Estimation de la régularité et de la longue dépendance de processus gaussiens. Thèse de l'université Toulouse III, 1994.
,Weak convergence of different types of variation for biparametric Gaussian processes, Colloquia Math. Soc. J. Bolyai, n° 57, 1989, Limit theorems in Proba. and Stat., Pecs Hungary. | MR | Zbl
and ,Introduction to dynamical systems: theory and applications, Wiley, 1979. | Zbl
,Fractional Brownian Motions, Fractional Noises and Applications. SIAM Review, 1968, 10, pp. 422-437. | MR | Zbl
andFractal-based description of natural scenes, IEEE transactions on pattern analysis and machine intelligence, Vol. PAMI-6, n° 6, 1984, pp. 661-674.
,Déviation quadratique pour des estimateurs de la variance d'une diffusion, C. R. Acad. Sci., Tome 313, Série I, 1991, pp. 783-786. | MR | Zbl
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