Weak convergence of summation processes in Besov spaces

Bruno Morel. "Weak convergence of summation processes in Besov spaces." Studia Mathematica 165.1 (2004): 19-37. <http://eudml.org/doc/285146>.

@article{BrunoMorel2004,
abstract = {We prove invariance principles for partial sum processes in Besov spaces. This functional framework allows us to give a unified treatment of the step process and the smoothed process in the same parametric scale of function spaces. Our functional central limit theorems in Besov spaces hold for i.i.d. sequences and also for a large class of weakly dependent sequences.},
author = {Bruno Morel},
journal = {Studia Mathematica},
keywords = {Besov spaces; compactness; weak convergence; invariance principle; summation processes; strong mixing; tightness},
language = {eng},
number = {1},
pages = {19-37},
title = {Weak convergence of summation processes in Besov spaces},
url = {http://eudml.org/doc/285146},
volume = {165},
year = {2004},
}

TY - JOUR
AU - Bruno Morel
TI - Weak convergence of summation processes in Besov spaces
JO - Studia Mathematica
PY - 2004
VL - 165
IS - 1
SP - 19
EP - 37
AB - We prove invariance principles for partial sum processes in Besov spaces. This functional framework allows us to give a unified treatment of the step process and the smoothed process in the same parametric scale of function spaces. Our functional central limit theorems in Besov spaces hold for i.i.d. sequences and also for a large class of weakly dependent sequences.
LA - eng
KW - Besov spaces; compactness; weak convergence; invariance principle; summation processes; strong mixing; tightness
UR - http://eudml.org/doc/285146
ER -