Wavelet coefficients of a gaussian process and applications

Jacques Istas

Annales de l'I.H.P. Probabilités et statistiques (1992)

  • Volume: 28, Issue: 4, page 537-556
  • ISSN: 0246-0203

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Istas, Jacques. "Wavelet coefficients of a gaussian process and applications." Annales de l'I.H.P. Probabilités et statistiques 28.4 (1992): 537-556. <http://eudml.org/doc/77444>.

@article{Istas1992,
author = {Istas, Jacques},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {wavelet transform of Gaussian stationary continuous-time processes; approximation; weak convergence; data compression},
language = {eng},
number = {4},
pages = {537-556},
publisher = {Gauthier-Villars},
title = {Wavelet coefficients of a gaussian process and applications},
url = {http://eudml.org/doc/77444},
volume = {28},
year = {1992},
}

TY - JOUR
AU - Istas, Jacques
TI - Wavelet coefficients of a gaussian process and applications
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1992
PB - Gauthier-Villars
VL - 28
IS - 4
SP - 537
EP - 556
LA - eng
KW - wavelet transform of Gaussian stationary continuous-time processes; approximation; weak convergence; data compression
UR - http://eudml.org/doc/77444
ER -

References

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  2. [2] P. Billingsley, Convergence of Probability Measures, Wiley, New York, 1968. Zbl0172.21201MR233396
  3. [3] A. Cohen, J. Froment, J. Istas, Analyse multirésolution des signaux aléatoires, C. R. Acad. Sci. Paris, 1991. Zbl0721.60048MR1101033
  4. [4] H. Cramer and M.R. Leadbetter, Stationary and related stochastic processes, Wiley, New York, 1967. Zbl0162.21102MR217860
  5. [5] D. Dacunha-Castelle et M. Duflo, Probabilités et Statistiques, n° 2, Masson, Paris, 1983. Zbl0535.62004MR732786
  6. [6] I. Daubechies, Orthonormal bases of compactly supported wavelets, Commun. Pure Appl. Math., Vol. 41, Nov. 1988, pp. 909-996. Zbl0644.42026MR951745
  7. [7] I. Daubechies, Orthonormal bases of compactly supported wavelets. Part II, III: variations on a theme, Preprint Bell Labs, 1989. MR951745
  8. [8] P. Levy, Le mouvement brownien, Gauthier-Villars, Paris, 1954. Zbl0059.11702MR66588
  9. [9] M. Loeve, Probability theory II, Springer Verlag, N.-Y., 1963. MR651018
  10. [10] S.G. Mallat, Multiresolution representation and wavelets, Thèse, University of Pennsylvania, 1988. 
  11. [11] Y. Meyer, Ondelettes et Opérateurs, 1, Hermann, Paris, 1990. Zbl0694.41037MR1085487
  12. [12] D. Pollard, Convergence of stochastic processes, Springer-Verlag. N.-Y., 1984. Zbl0544.60045MR762984
  13. [13] A. Rosenfeld and C. Kak, Digital picture processing, second ed., Academic Press, 1982. Zbl0564.94001
  14. [14] Y. Rozanov, Processus aléatoires, Moscou, Ed. 1975. Zbl0305.60012MR405522
  15. [15] L. Schwartz, Méthodes mathématiques pour les sciences physiques, Hermann, Paris, 1961. Zbl0101.41301MR143360

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