Classes de Donsker et fonction d'entropie relatives aux mesures aléatoires

Dominique Delesalle

Annales de l'I.H.P. Probabilités et statistiques (1987)

  • Volume: 23, Issue: 3, page 531-559
  • ISSN: 0246-0203

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Delesalle, Dominique. "Classes de Donsker et fonction d'entropie relatives aux mesures aléatoires." Annales de l'I.H.P. Probabilités et statistiques 23.3 (1987): 531-559. <http://eudml.org/doc/77303>.

@article{Delesalle1987,
author = {Delesalle, Dominique},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {central limit theorem; empirical processes; identically distributed random measures},
language = {fre},
number = {3},
pages = {531-559},
publisher = {Gauthier-Villars},
title = {Classes de Donsker et fonction d'entropie relatives aux mesures aléatoires},
url = {http://eudml.org/doc/77303},
volume = {23},
year = {1987},
}

TY - JOUR
AU - Delesalle, Dominique
TI - Classes de Donsker et fonction d'entropie relatives aux mesures aléatoires
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1987
PB - Gauthier-Villars
VL - 23
IS - 3
SP - 531
EP - 559
LA - fre
KW - central limit theorem; empirical processes; identically distributed random measures
UR - http://eudml.org/doc/77303
ER -

References

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  1. [1] G. Bennett, Probability Inequalities for the Sum of Independant Random Variables, J. Amer. Statist. Assoc., vol. 57, 1962, p. 33-45. Zbl0104.11905
  2. [2] P. Billingsley, Convergence of Probability Measures, Wiley, New York, 1968. Zbl0172.21201MR233396
  3. [3] R.M. Dudley, Central Limit Theorems for Empirical Measures, Ann. Probability., vol. 6, 1978, p. 899-929. Zbl0404.60016MR512411
  4. [4] R.M. Dudley, Cours de l'Ecole d'Eté de Probabilités de Saint-Flour, 1982. Lecture Notes in Mathematics, n° 1097, Springer Verlag, 1984. Zbl0554.60029MR876079
  5. [5] M. Fréchet, Recherches théoriques modernes sur le calcul des probabilités, Premier livre, 1950. 
  6. [6] P. Gaenssler et W. Stute, Empirical Processes: a Survey of Results for Independant and Identically Distributed Random Variables, Ann. Probability., vol. 7, 1979, p. 193-243. Zbl0402.60031MR525051
  7. [7] P. Jacob, Convergence uniforme à distance finie des mesures signées, Ann. Inst. Henri Poincaré, vol. XV, n° 4, 1979, p. 355-373. Zbl0439.60006MR567733
  8. [8] O. Kallenberg, Random Measures, Academic Press, 1976. Zbl0345.60032MR431373

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