Sur la convergence vers la loi de Poisson

L. Pratelli

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

  • Volume: 28, Issue: 2, page 151-164
  • ISSN: 0246-0203

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Pratelli, L.. "Sur la convergence vers la loi de Poisson." Annales de l'I.H.P. Probabilités et statistiques 28.2 (1992): 151-164. <http://eudml.org/doc/77427>.

@article{Pratelli1992,
author = {Pratelli, L.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {triangular array; asymptotic negligibility; infinite smallness; weak convergence to a Poisson law},
language = {fre},
number = {2},
pages = {151-164},
publisher = {Gauthier-Villars},
title = {Sur la convergence vers la loi de Poisson},
url = {http://eudml.org/doc/77427},
volume = {28},
year = {1992},
}

TY - JOUR
AU - Pratelli, L.
TI - Sur la convergence vers la loi de Poisson
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1992
PB - Gauthier-Villars
VL - 28
IS - 2
SP - 151
EP - 164
LA - fre
KW - triangular array; asymptotic negligibility; infinite smallness; weak convergence to a Poisson law
UR - http://eudml.org/doc/77427
ER -

References

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  1. [1] D. Freedman, The Poisson approximation for dependent events, Ann. Prob., vol. 2, 1974, p. 256-269. Zbl0301.60021MR370694
  2. [2] M. Loève, Probability Theory, Van Nostrand, 3rd edition, 1963. Zbl0108.14202MR203748
  3. [3] L. Pratelli, Une caractérisation de la convergence dans L1. Application aux quasimartingales, Sém. Prob. (à paraître). Zbl0766.60041
  4. [4] R.J. Serfling, A general Poisson approximation theorem, Ann. Prob., vol. 3, 1975, p. 726-731. Zbl0321.60018MR380946
  5. [5] A.N. Shiryayev, Probability, Springer, 1984. Zbl0536.60001MR737192

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