Analyse asymptotique des processus gaussiens stationnaires
Annales de l'I.H.P. Probabilités et statistiques (1980)
- Volume: 16, Issue: 2, page 117-176
- ISSN: 0246-0203
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topWeber, Michel. "Analyse asymptotique des processus gaussiens stationnaires." Annales de l'I.H.P. Probabilités et statistiques 16.2 (1980): 117-176. <http://eudml.org/doc/77141>.
@article{Weber1980,
author = {Weber, Michel},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {asymptotic behaviour of trajectories; stability of trajectories},
language = {fre},
number = {2},
pages = {117-176},
publisher = {Gauthier-Villars},
title = {Analyse asymptotique des processus gaussiens stationnaires},
url = {http://eudml.org/doc/77141},
volume = {16},
year = {1980},
}
TY - JOUR
AU - Weber, Michel
TI - Analyse asymptotique des processus gaussiens stationnaires
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1980
PB - Gauthier-Villars
VL - 16
IS - 2
SP - 117
EP - 176
LA - fre
KW - asymptotic behaviour of trajectories; stability of trajectories
UR - http://eudml.org/doc/77141
ER -
References
top- [1] S.M. Berman, Limit theorems for the maximum term in stationary sequences. Ann. Math. Statist., t. 35, 1964, p. 502-516. Zbl0122.13503MR161365
- [2] S.M. Berman, Local time and sample function properties od stationary Gaussian processes. Trans. Amer. Math. Soc., t. 137, 1969, p. 277-299. Zbl0184.40801MR239652
- [3] P. Billingsley, Ergodic Theory. Ed. by F. B. Wright, Acad. Press, 1963, New York. MR158967
- [4] J.P. Conze, Systèmes topologiques et métriques en théorie ergodique. École d'Été de Probabilité de Saint-Flour (1974). Lect. Notes Math., t. 480, 1975, p. 100-187. Zbl0321.28010MR393421
- [5] K.L. Chung, P. Erdös et T. Sirao, On the Lipschitz's conditions for Brownian Motion. J. Math. Soc. Japan, vol. 11, n° 4, 1959, p. 263-274. Zbl0091.13301MR121873
- [6] X. Fernique, Régularité des trajectoires des fonctions aléatoires gaussiennes. École d'Été de Probabilité de Saint-Flour (1974). Lect. Notes Math., t. 480, 1975, p. 1-96. Zbl0331.60025MR413238
- [7] X. Fernique, Évaluation de processus gaussiens composés. Lect. Notes Math., t. 526, 1976, p. 67-83. Zbl0383.60037MR443054
- [8] X. Fernique, A paraître.
- [9] N.C. Jain, K. Jogdeo et W.F. Stout, Upper and lower functions for Martingales and mixing Processes. Ann. of Prob., vol. 3, n° 1, 1975, p. 119-145. Zbl0301.60026MR368130
- [10] N. Kôno, Sur la minoration asymptotique et le caractère transitoire des trajectoires des fonctions aléatoires gaussiennes à valeurs dans Rd. Z. Wahrscheinlichkeitsth. verw. Gebiete, t. 33, 1975, p. 95-112. Zbl0322.60036MR397855
- [11] N. Kôno, Asymptotic behavior of sample functions of Gaussian random fields. J. Math. Kyoto Univ., t. 15 (3), 1975, p. 671-707. Zbl0339.60034MR458560
- [12] M.B. Marcus, Upper bounds for the asymptotic maxima of continuous Gaussian processes. Ann. Math. Stat., t. 43, 1972, p. 522-533. Zbl0241.60032MR388519
- [13] M.B. Marcus, Asymptotic Maxima of Continuous Gaussian Processes (II). Ann. of Prob., t. 2, 1974, p. 702-713. Zbl0304.60024MR370726
- [14] G. Maruyama, The harmonic analysis of stationary stochastic processes. Memoirs of the faculty of Sci. Kyusyu Univ., Ser. A, vol. IV, 1949, p. 45-106. Zbl0045.40602MR32127
- [15] J. Pickands, III, Maxima of stationary Gaussian processes. Z. Wahrscheinlichkeitsth. verw. Gebiete, t. 7, 1967, p. 190-223. Zbl0158.16702MR217866
- [16] J. Pickands, III, An iterated logarithm for the maximum in a stationary Gaussian sequence. Z. Wahrscheinlichkeitsth. verw. Gebiete, vol. 12, 1969, p. 344-353. Zbl0181.20703MR251776
- [17] C. Qualls et H. Watanabe, An asymptotic 0-1 behavior of Gaussian processes. Ann. Math. Stat., vol. 42, n° 6, 1971, p. 2027–2035. Zbl0239.60031MR307317
- [18] C. Qualls, H. Watanabe et G. Simmons, A note on a 0-1 law for stationary Gaussian processes. Inst. of Statis., Mimeo Series n° 793, 1972.
- [19] C. Qualls et P.K. Pathak, A law of iterated logarithm for stationary Gaussian Processes. Trans. Amer. Math. Soc., vol. 18, 1973, p. 185-193. Zbl0273.60016MR321170
- [20] C. Qualls, The law of the iterated logarithm on arbitrary sequences for stationary Gaussian processes and Brownian motion. Ann. of Prob., vol. 5, n° 5, 1977, p. 724- 739. Zbl0375.60035MR451369
- [21] H. Vishnu Hebbar , A law of the iterated logarithm for Extrem values from Gaussian Sequences. Z. Wahrscheinlichkeitsth. verw. Gebiete, vol. 48, 1979, p. 1-16. Zbl0387.60035MR533002
- [22] M. Weber, Classes supérieures de processus gaussiens. Z. Wahrscheinlichkeitsth. verw. Gebiete, vol. 42, 1978, p. 113-128. Zbl0374.60050MR494460
- [23] M. Weber, Tests intégraux pour certaines classes de processus gaussiens stationnaires à trajectoires continues. C. R. Acad. Sci. Paris, t. 287, série A, 1978, p. 969- 971. Zbl0391.60041MR520782
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