@article{AIHPB_1980__16_4_327_0,
author = {Egghe, L.},
title = {Some new {Chacon-Edgar-type} inequalities for stochastic processes, and characterizations of {Vitali-conditions}},
journal = {Annales de l'institut Henri Poincar\'e. Section B. Calcul des probabilit\'es et statistiques},
pages = {327--337},
year = {1980},
publisher = {Gauthier-Villars},
volume = {16},
number = {4},
mrnumber = {603326},
zbl = {0451.60054},
language = {en},
url = {https://www.numdam.org/item/AIHPB_1980__16_4_327_0/}
}
TY - JOUR AU - Egghe, L. TI - Some new Chacon-Edgar-type inequalities for stochastic processes, and characterizations of Vitali-conditions JO - Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques PY - 1980 SP - 327 EP - 337 VL - 16 IS - 4 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPB_1980__16_4_327_0/ LA - en ID - AIHPB_1980__16_4_327_0 ER -
%0 Journal Article %A Egghe, L. %T Some new Chacon-Edgar-type inequalities for stochastic processes, and characterizations of Vitali-conditions %J Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques %D 1980 %P 327-337 %V 16 %N 4 %I Gauthier-Villars %U https://www.numdam.org/item/AIHPB_1980__16_4_327_0/ %G en %F AIHPB_1980__16_4_327_0
Egghe, L. Some new Chacon-Edgar-type inequalities for stochastic processes, and characterizations of Vitali-conditions. Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 16 (1980) no. 4, pp. 327-337. https://www.numdam.org/item/AIHPB_1980__16_4_327_0/
[1] , Amarts, indexed by directed sets. Ann. Prob., t. 6, 2, 1978, p. 267-278. | Zbl | MR
[2] , Uniform amarts: a class of asymptotic martingales for which strong almost sure convergence obtains. Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, t. 41, 1978, p. 177-191. | Zbl | MR
[3] , Une inégalité pour martingales à indices multiples et ses applications. Sém. de Prob., Univ. de Strasbourg. Lect. Notes in math., t. 124, 1970, p. 1-27, Springer-Verlag. | Zbl | MR | Numdam
[4] , A « stopped » proof of convergence. Adv. in math., t. 14, 1974, p. 365-368. | Zbl | MR
[5] , Uniform semiamarts. Ann. de l'Institut H. Poincaré, t. 15, sect. B, 1979, p. 197-203. | Zbl | MR | Numdam
[6] , Convergence of martingales with a directed index set. Trans. Am. Math. Soc., t. 83, 1956, p. 313-337. | Zbl | MR
[7] , Neighborly bushes and the Radon-Nikodym-Property for Banach spaces, preprint 1979. | MR
[8] and , A separable Banach space with the Radon-Nikodym-property which is not isomorphic to a subspace of a separable dual, preprint 1979.
[9] et , La convergence essentielle des martingales bornées dans L1 n'implique pas la condition de Vitali V. C. R. Acad. Sc. Paris, t. 288, série A, 1979, p. 595-598. | Zbl | MR
[10] and , Convergence of classes of amarts indexed by directed sets. Characterizations in terms of Vitali-conditions. Can. J. Math., t. 32, 1, 1980, p. 86-125. | Zbl | MR
[11] and , Characterizations of Vitali conditions with overlap in terms of convergence of classes of amarts. Can. J. Math., t. 31, 5, 1979, p. 1033-1046. | Zbl | MR
[12] and , A characterization of Vitali conditions in terms of maximal inequalities. Ann. Prob., t. 8, 2, 1980, p. 339-349. | Zbl | MR
[13] and , On convergence of L1-bounded martingales indexed by directed sets, preprint 1979.
[14] , Discrete parameter martingales. North Holland, Amsterdam; 1975. | Zbl | MR





