Some results on the continuity of stable processes and the domain of attraction of continuous stable processes

M. B. Marcus; G. Pisier

Annales de l'I.H.P. Probabilités et statistiques (1984)

  • Volume: 20, Issue: 2, page 177-199
  • ISSN: 0246-0203

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Marcus, M. B., and Pisier, G.. "Some results on the continuity of stable processes and the domain of attraction of continuous stable processes." Annales de l'I.H.P. Probabilités et statistiques 20.2 (1984): 177-199. <http://eudml.org/doc/77231>.

@article{Marcus1984,
author = {Marcus, M. B., Pisier, G.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {sample continuous stable processes; domains of attraction; random Fourier integrals; metric entropy},
language = {eng},
number = {2},
pages = {177-199},
publisher = {Gauthier-Villars},
title = {Some results on the continuity of stable processes and the domain of attraction of continuous stable processes},
url = {http://eudml.org/doc/77231},
volume = {20},
year = {1984},
}

TY - JOUR
AU - Marcus, M. B.
AU - Pisier, G.
TI - Some results on the continuity of stable processes and the domain of attraction of continuous stable processes
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1984
PB - Gauthier-Villars
VL - 20
IS - 2
SP - 177
EP - 199
LA - eng
KW - sample continuous stable processes; domains of attraction; random Fourier integrals; metric entropy
UR - http://eudml.org/doc/77231
ER -

References

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  1. [1] A. Araujo and M.B. Marcus, Stable processes with continuous sample paths, Proc. Second International Conference in Probability in Banach Spaces, 1978, Lecture Notes in Math., t. 709, 1979, p. 9-32, Springer-Verlag, New York. Zbl0407.60040MR537689
  2. [2] X. Fernique, Continuité et théorème central limite pour les transformées de Fourier des mesures aléatoires du second ordre, Z. Wahrscheinlichkeith., t. 42, 1978, p. 57-66. Zbl0393.60020MR486036
  3. [3] E. Giné and M.B. Marcus, On the central limit theorem in C(K). Aspects Statistiques et Aspects Physiques des Processus Gaussiens, Éditions du C. N. R. S., t. 307, 1981, p. 361-383. Zbl0516.60011MR716537
  4. [4] E. Giné and M.B. Marcus, Some results on the domain of attraction of stable measures on C(K). Probability and Mathematical Studies, t. 2, 1982, p. 125-147. Zbl0535.60010MR711887
  5. [5] J. Hoffmann-JØRGENSEN, Sums of independent Banach space valued random variables. Studia Math., t. 52, 1974, p. 159-186. Zbl0265.60005MR356155
  6. [6] N.C. Jain and M.B. Marcus, Central limit theorems for C(S)-valued random variables. J. Functional Analysis, t. 19, 1975, p. 216-231. Zbl0305.60004MR385994
  7. [7] M.B. Marcus and G. Pisier, Random Fourier series with applications to harmonic analysis, Annals of Math. Studies, t. 101, 1981, Princeton Univ. Press, Princeton, N. J. Zbl0474.43004MR630532
  8. [8] M.B. Marcus and G. Pisier, Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes. Acta Mathematica (to appear) (1984), vol. 153. Zbl0547.60047MR741056
  9. [9] M. Nisio, On the continuity of stationary Gaussian processes. NagoyaMath. J., t. 34, 1969, p. 89-104. Zbl0174.49301MR240865
  10. [10] G. Pisier, De nouvelles caractérisations des ensembles de Sidon, Mathematical Analysis and Applications, 1981, p. 686-726, in the series Advances in Math. Supplementary Studies, 7B, Academic Press, New York, N. Y. Zbl0468.43008MR634264

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