Fluctuations dans les suites de variables aléatoires indépendantes

Pierre Cartier

Séminaire Bourbaki (1962-1964)

  • Volume: 8, page 7-24
  • ISSN: 0303-1179

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Cartier, Pierre. "Fluctuations dans les suites de variables aléatoires indépendantes." Séminaire Bourbaki 8 (1962-1964): 7-24. <http://eudml.org/doc/109682>.

@article{Cartier1962-1964,
author = {Cartier, Pierre},
journal = {Séminaire Bourbaki},
keywords = {probability theory},
language = {fre},
pages = {7-24},
publisher = {Société Mathématique de France},
title = {Fluctuations dans les suites de variables aléatoires indépendantes},
url = {http://eudml.org/doc/109682},
volume = {8},
year = {1962-1964},
}

TY - JOUR
AU - Cartier, Pierre
TI - Fluctuations dans les suites de variables aléatoires indépendantes
JO - Séminaire Bourbaki
PY - 1962-1964
PB - Société Mathématique de France
VL - 8
SP - 7
EP - 24
LA - fre
KW - probability theory
UR - http://eudml.org/doc/109682
ER -

References

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  1. [1] Andersen ( Erik Sparre). - On the number of positive sums of random variables, Sksand. Aktuarietidskr., t. 32, 1949, p. 27-36. Zbl0041.45006MR32115
  2. [2] Baxter ( G.); - An analytic approach to finite fluctuation problems in probability, J. Anal. math., Jérusalem, t. 9, 1961, p. 31-70. Zbl0103.35903MR133852
  3. [3] Baxter ( G.) and Donsker ( M.). - On the distribution of the supremum functional for processes with stationary independant increments, Trans. Amer. math. Soc., t. 85, 1957, p. 73-87. Zbl0078.32002MR84900
  4. [4] Chung ( K.L.) and Felier ( W.). - On fluctuations in coin-tossing, Proc. Nat. Acad. Sc. U. S. A., t. 35, 1949, p. 605-608. Zbl0037.36310MR33459
  5. [5] Darling ( D.A.). - Sums of symmetrical random variables, Proc. Amer. math. Soc., t. 2, 1951, p. 511-517. Zbl0045.07501MR43405
  6. [6] Erdos ( P.) and Kac ( M.). - On the number of positive sums of independant random variables, Bull. Amer. math. Soc., t. 53, 1947, p. 1011-1020. Zbl0032.03502MR23011
  7. [7] Feller ( William). - An introduction to probability theory and its applications, 2nd edition. - New York, J. Wiley and sons, 1957 (A Wiley Publication in mathematical Statistics). Zbl0077.12201MR88081
  8. [8] Kac ( M.). - Toeplitz matrices, translation kernels and a related problem in probability theory, Duke math. J., t. 21, 1954, p. 501-509. Zbl0056.10201MR62867
  9. [9] Kolmogorov ( A.N.). - Foundations of the theory of probability, 2nd edition. - New York, Chelsea publishing Company, 1956. Zbl0074.12202MR79843
  10. [10] Lévy ( Paul). - Sur certains processus stochastiques homogènes, Compositio Math., t. 7, 1939, p. 283-339. Zbl0022.05903MR919
  11. [11] Spitzer ( Franz). - A combinatorial lemma and its applications to probability theory, Trans. Amer. math. Soc., t. 82, 1956, p. 323-339. Zbl0071.13003MR79851
  12. [12] Wendel ( J.G.). - Spitzer's formula : a short proof, Proc. Amer. math. Soc., t. 9, 1958, p. 905-908. Zbl0171.39502MR103531
  13. [13] Wendel ( J.G.). - Order statistics of partial sums, Annals of math. Statist., t. 31, 1960, p. 1034-1044. Zbl0118.33701MR119225

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