Arrêt de certaines suites multiples de variables aléatoires indépendantes

Renzo Cairoli; Jean-Pierre Gabriel

Séminaire de probabilités de Strasbourg (1979)

  • Volume: 13, page 174-198

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Cairoli, Renzo, and Gabriel, Jean-Pierre. "Arrêt de certaines suites multiples de variables aléatoires indépendantes." Séminaire de probabilités de Strasbourg 13 (1979): 174-198. <http://eudml.org/doc/113211>.

@article{Cairoli1979,
author = {Cairoli, Renzo, Gabriel, Jean-Pierre},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {multi parameter martingale; maximal inequalities},
language = {fre},
pages = {174-198},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Arrêt de certaines suites multiples de variables aléatoires indépendantes},
url = {http://eudml.org/doc/113211},
volume = {13},
year = {1979},
}

TY - JOUR
AU - Cairoli, Renzo
AU - Gabriel, Jean-Pierre
TI - Arrêt de certaines suites multiples de variables aléatoires indépendantes
JO - Séminaire de probabilités de Strasbourg
PY - 1979
PB - Springer - Lecture Notes in Mathematics
VL - 13
SP - 174
EP - 198
LA - fre
KW - multi parameter martingale; maximal inequalities
UR - http://eudml.org/doc/113211
ER -

References

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  1. [1] Burkholder, D.L., Successive conditional expectations of an integrable function. Ann. Math. Statist.33, 887-893 (1962). Zbl0128.12602MR143246
  2. [2] Cairoli, R. et Walsh, J.B., Régions d'arrêt, localisations et prolongements de martingales. Z. Wahrscheinlichkeitstheorie verw. Gebiete44, 279-306 (1978). Zbl0369.60043MR509203
  3. [3] Davis, B., Stopping rules for Sn/n and the class L log L. Z. Wahrscheinlichkeitstheorie verw. Gebiete17, 147-150 (1971). Zbl0194.50102MR279873
  4. [4] Gabriel, J.P., Martingales with a countable filtering index set. Ann. Probability5, 888-898 (1977). Zbl0432.60055MR445603
  5. [5] McCabe, B.J. et Shepp, L.A., On the supremum of Sn/n. Ann. Math. Statist.41, 2166-2168 (1970). Zbl0226.60067MR267627
  6. [6] Smythe, R.T., Strong laws of large numbers for r-dimensional arrays of random variables. Ann. Probability1, 164-170 (1973). Zbl0258.60026MR346881
  7. [7] Smythe, R.T., Sums of independent random variables on partially ordered sets. Ann. Probability2, 906-917 (1974). Zbl0292.60081MR358973
  8. [8] Walsh, J.B.Martingales with a multidimensional parameter and stochastic integrals in the plane. Cours 3e cycle Univ. Paris VI. Zbl0602.60044

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