Dans cette Note nous donnons la vitesse d'approche uniforme presque sûre des fonctions de Strassen par les incréments des processus empirique, de quantile, de Poisson, de Wiener, de somme partielle. Des conditions minimales sur la localisation des incréments sont introduites et les fonctions limites critiques les plus utiles sont traitées.
In this Note we give the almost sure rate of uniform approach of Strassen functions by increments of empirical, quantile, Poisson, Wiener and Partial sums processes. Minimal conditions on the location of the increments are introduced and most useful critical limit functions are taken into account.
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@article{CRMATH_2003__337_6_415_0,
author = {Berthet, Philippe},
title = {Module d'oscillation fonctionnel de quelques processus r\'eels},
journal = {Comptes Rendus. Math\'ematique},
pages = {415--418},
publisher = {Elsevier},
volume = {337},
number = {6},
year = {2003},
doi = {10.1016/S1631-073X(03)00366-2},
language = {fr},
url = {http://www.numdam.org/articles/10.1016/S1631-073X(03)00366-2/}
}
TY - JOUR AU - Berthet, Philippe TI - Module d'oscillation fonctionnel de quelques processus réels JO - Comptes Rendus. Mathématique PY - 2003 SP - 415 EP - 418 VL - 337 IS - 6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/S1631-073X(03)00366-2/ DO - 10.1016/S1631-073X(03)00366-2 LA - fr ID - CRMATH_2003__337_6_415_0 ER -
%0 Journal Article %A Berthet, Philippe %T Module d'oscillation fonctionnel de quelques processus réels %J Comptes Rendus. Mathématique %D 2003 %P 415-418 %V 337 %N 6 %I Elsevier %U http://www.numdam.org/articles/10.1016/S1631-073X(03)00366-2/ %R 10.1016/S1631-073X(03)00366-2 %G fr %F CRMATH_2003__337_6_415_0
Berthet, Philippe. Module d'oscillation fonctionnel de quelques processus réels. Comptes Rendus. Mathématique, Tome 337 (2003) no. 6, pp. 415-418. doi : 10.1016/S1631-073X(03)00366-2. http://www.numdam.org/articles/10.1016/S1631-073X(03)00366-2/
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