It is shown that a method recently developed by Bolthausen permits an extension (up to a logarithmic factor) of an estimate of the rate of convergence in the martingale central limit theorem due to Heyde and Brown.
Publié le : 1984-05-14
Classification:
Martingales,
central limit theorem,
rates of convergence,
60F05,
60G42
@article{1176993311,
author = {Haeusler, Erich},
title = {A Note on the Rate of Convergence in the Martingale Central Limit Theorem},
journal = {Ann. Probab.},
volume = {12},
number = {4},
year = {1984},
pages = { 635-639},
language = {en},
url = {http://dml.mathdoc.fr/item/1176993311}
}
Haeusler, Erich. A Note on the Rate of Convergence in the Martingale Central Limit Theorem. Ann. Probab., Tome 12 (1984) no. 4, pp. 635-639. http://gdmltest.u-ga.fr/item/1176993311/