@article{AIHPB_2006__42_2_187_0, author = {Cohen, Serge and Guyon, Xavier and Perrin, Olivier and Pontier, Monique}, title = {Singularity functions for fractional processes : application to the fractional brownian sheet}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {187--205}, publisher = {Elsevier}, volume = {42}, number = {2}, year = {2006}, doi = {10.1016/j.anihpb.2005.03.002}, mrnumber = {2199797}, zbl = {1095.60011}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.anihpb.2005.03.002/} }
TY - JOUR AU - Cohen, Serge AU - Guyon, Xavier AU - Perrin, Olivier AU - Pontier, Monique TI - Singularity functions for fractional processes : application to the fractional brownian sheet JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2006 SP - 187 EP - 205 VL - 42 IS - 2 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.anihpb.2005.03.002/ DO - 10.1016/j.anihpb.2005.03.002 LA - en ID - AIHPB_2006__42_2_187_0 ER -
%0 Journal Article %A Cohen, Serge %A Guyon, Xavier %A Perrin, Olivier %A Pontier, Monique %T Singularity functions for fractional processes : application to the fractional brownian sheet %J Annales de l'I.H.P. Probabilités et statistiques %D 2006 %P 187-205 %V 42 %N 2 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.anihpb.2005.03.002/ %R 10.1016/j.anihpb.2005.03.002 %G en %F AIHPB_2006__42_2_187_0
Cohen, Serge; Guyon, Xavier; Perrin, Olivier; Pontier, Monique. Singularity functions for fractional processes : application to the fractional brownian sheet. Annales de l'I.H.P. Probabilités et statistiques, Volume 42 (2006) no. 2, pp. 187-205. doi : 10.1016/j.anihpb.2005.03.002. http://archive.numdam.org/articles/10.1016/j.anihpb.2005.03.002/
[1] Drap brownien fractionnaire, Potential Anal. 17 (1) (2002) 31-43. | MR | Zbl
, , ,[2] A strong limit theorem for Gaussian processes, Proc. Amer. Soc. 7 (1956) 522-527. | MR | Zbl
,[3] Identification of filtered white noises, Stochastic Process. Appl. 75 (1998) 31-49. | MR | Zbl
, , , ,[4] Cramér-Rao bounds for fractional Brownian motions, Statist. Probab. Lett. (2001). | MR | Zbl
, ,[5] S. Cohen, X. Guyon, O. Perrin, M. Pontier, Identification of an isometric transformation of the standard Brownian sheet, à paraître au J. Statist. Plann. Inference, 2004. | MR | Zbl
[6] Efficient parameter estimation for self-similar processes, Ann. Statist. 17 (1989) 1749-1766. | MR | Zbl
,[7] On fractional Brownian processes, Potential Anal. 10 (3) (1999) 273-288. | MR | Zbl
, ,[8] A new limit theorem for Gaussian process, Theory Probab. Appl. 6 (1961) 52-61. | MR | Zbl
,[9] Convergence en loi des H-variations d'un processus gaussien stationnaire, Ann. Inst. H. Poincaré 25 (1989) 265-282. | EuDML | Numdam | MR | Zbl
, ,[10] Quadratic variations and estimation of the Hölder index of a Gaussian process, Ann. Inst. H. Poincaré 33 (4) (1997) 407-436. | Numdam | MR | Zbl
, ,[11] On the fractional anisotropic Wiener field, Probab. Math. Statist. 18 (1996) 85-98. | MR | Zbl
,[12] On quadratic variations of processes with Gaussian increments, Ann. Probab. 3 (4) (1975) 716-721. | MR | Zbl
, ,[13] S. Léger, Analyse stochastique de signaux multi-fractaux et estimations de paramètres, PhD thesis, Université d'Orléans, 2000.
[14] Quadratic variation for Gaussian processes and application to time deformation, Stochastic Process. Appl. 82 (2) (1999) 293-305. | MR | Zbl
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