Classes uniformes de processus gaussiens stationnaires

Michel Weber

Séminaire de probabilités de Strasbourg (1977)

  • Volume: 11, page 196-256

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Weber, Michel. "Classes uniformes de processus gaussiens stationnaires." Séminaire de probabilités de Strasbourg 11 (1977): 196-256. <http://eudml.org/doc/113107>.

@article{Weber1977,
author = {Weber, Michel},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {Gaussian Processes; Stationary Processes},
language = {fre},
pages = {196-256},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Classes uniformes de processus gaussiens stationnaires},
url = {http://eudml.org/doc/113107},
volume = {11},
year = {1977},
}

TY - JOUR
AU - Weber, Michel
TI - Classes uniformes de processus gaussiens stationnaires
JO - Séminaire de probabilités de Strasbourg
PY - 1977
PB - Springer - Lecture Notes in Mathematics
VL - 11
SP - 196
EP - 256
LA - fre
KW - Gaussian Processes; Stationary Processes
UR - http://eudml.org/doc/113107
ER -

References

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  1. [1] Yu.K. Belyaev [1961], "Continuity and Hölder conditions for sample functions of stationary Gaussian processes", Proc. 4 th. Berkeley Symp. on Math. Stat. and Prob.2, pp. 23-33. Zbl0111.33003MR143256
  2. [2] S.M. Berman [1962], "A law of large numbers for the maximum in a stationary Gaussian sequence", Ann. Math. Statist.33, pp. 93.97. Zbl0109.11803MR133856
  3. [3] S.M. Berman [1970], "Gaussian processes with stationary increments : local times and sample functions properties", Ann. Math. Statist.41 pp. 1260-1272. Zbl0204.50501MR272035
  4. [4] Z. Ciesielski [1961], "Hölder conditions for realizations of Gaussian processes", Trans. Amer. Math. Soc.99 pp. 403-413. Zbl0133.10502MR132591
  5. [5] R.M. Dudley [1967], "The sizes of compact subsets of Hilbert space and continuity of Gaussian processes", J. Functional Analysis1, pp. 290-330. Zbl0188.20502MR220340
  6. [6] X. Fernique [1964], "Continuité des processus gaussiens", C.R Acad. Scienc.Paris258, pp. 6058-6060. Zbl0129.30101MR164365
  7. [7] X. Fernique [1970], "Intégrabilité des vecteurs gaussiens", C.R. Acad. Scienc.Paris270 Sér. A pp. 1698-1699. Zbl0206.19002MR266263
  8. [8] X. Fernique [1975], "Régularité des trajectoires des fonctions aléatoires gaussiennes", Lectures NotesSpringer. Zbl0331.60025MR413238
  9. [9] A. Garsia, E. Rodemich and H. RUMSEY Jr. [1970], "A real variable lemma and the continuity of paths of some Gaussian processes", Indiana Univ. Math. J.20 pp. 565-578. Zbl0252.60020MR267632
  10. [10] G.A. Hunt [1951], "Random Fourier transforms", Trans. Amer. Math. Soc.71, pp. 38-69. Zbl0043.30601MR51340
  11. [11] K. Itô and M. Nisio [1968], "On the oscillation functions of Gaussian processes", Math. Scand.22, pp. 209-223. Zbl0231.60027MR243597
  12. [12] N.C. Jain and G. Kallianpur [1970], "Norm convergent expansions for Gaussian processes in Banach spaces", Proc. Amer. Math. Soc.25 pp. 890-895. Zbl0209.48604MR266304
  13. [13] J.P. Kahane [1960], "Propriétés locales des fonctions à séries de Fourier aléatoires", Studia Math.19, pp. 1-25. Zbl0096.11402MR117506
  14. [14] J. Karamata [1933], "Sur un mode de croissance régulière - théorèmes fondamentaux". Bulletin de la Soc. Math. de France61, pp. 55-62. Zbl0008.00807JFM59.0994.01
  15. [15] T. Kawada [1969], "On the upper and lower class for Gaussian processes with several parameter", Nagoya Math. J. Vol. 35, pp. 109-132. Zbl0184.40802MR251788
  16. [16] N. Kôno [1970], "On the modulus of continuity of sample functions of Gaussian processes", J. Math. Kyoto Univ.10, pp. 493-536. Zbl0205.44503MR283867
  17. [17] N. Kôno [1975], "Asymptotic Behaviour of Sample Functions of Gaussian Random Fields", (à paraître dans J. Math. Kyota Univ.). Zbl0339.60034MR458560
  18. [18] P. Levy [1937], "Théorie de l'addition des variables aléatoires", (Paris, Gauthier-Villars). Zbl0016.17003JFM63.0490.04
  19. [19] P. Levy [1965], "Processus stochastiques et mouvement brownien". (Paris, Gauthier-Villars). Zbl0137.11602MR190953
  20. [20] M.B. Marcus [1968], "Hölder conditions for Gaussian processes with stationary increments", Trans. Amer. Math. Soc.134, pp. 29-52. Zbl0186.50602MR230368
  21. [21] M.B. Marcus [1970], "Hölder conditions for continuous Gaussian processes" Osuka J. Math.7, pp. 483-494. Zbl0255.60027MR275521
  22. [22] M.B. Marcus [1971], Gaussian lacunary series and the modulus of continuity for Gaussian processes. Zbl0222.60026MR309180
  23. [23] M.B. Marcus and L.A. Schepp [1970], "Continuity of Gaussian processes", Trans. Amer. Math. Soc.151, pp. 377-392. Zbl0209.49201MR264749
  24. [24] I. Petrowski [1935], "Zur ersten Randwertaufgabe der Wärmeleitungleichung", Compositio Math.1, pp. 383-419. Zbl0010.29903JFM60.1140.01
  25. [25] J. Pickands [1967], "Maxima of stationary Gaussian processes", Z. Wahrscheinlichkeitsth.7, pp. 190-223. Zbl0158.16702MR217866
  26. [26] C. Preston [1972], "Continuity properties of some Gaussian processes", Amer. Math. Statist.43 pp. 285-292. Zbl0268.60044MR307316
  27. [27] T. Sirao [1960], "On the continuity of Brownian motion with a multidimensional parameter", Nagoya Math. J.16, pp. 135-136. Zbl0091.13302MR117796
  28. [28] T. Sirao and H. Watanabé [1970], "On the upper and lower class of stationary Gaussian processes", Trans. Amer. Math. Soc.147, pp. 301-331. Zbl0273.60024MR256455
  29. [29] T. Sirao, K.L. Chung and P. Erdös [1959], "On the Lipschitz's condition for Brownian Motion", J. Math. Soc. Japan Vol. 11, n° 4, pp. 263-274. Zbl0091.13301MR121873
  30. [30] D. Slepian [1962], "The one-sided barrier problem for Gaussian noise", Bell. syst. tech. Jour.41, pp. 463-501. MR133183
  31. [31] M. Weber [1975], Minorations asymptotiques des trajectoires de fonctions aléatoires gaussiennes stationnaires définies sur l'intervalle [0,1]. C.R. Acad. Scienc.Paris Sér. A., pp. 49-52. Zbl0309.60030MR375451

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