On stochastic approximation procedures with averaging
Teoriâ veroâtnostej i ee primeneniâ, Tome 44 (1999) no. 3, pp. 661-675
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Linear multidimensional stochastic approximation procedures in continuous time with martingale errors are considered. An asymptotic behavior of the estimator obtained by trajectory averaging is studied. An asymptotics of integrated squared deviations functionals of the averaged estimator is found. Some results concerning fixed-size confidence regions are presented.
Keywords:
stochastic approximation, averaged estimators
Mots-clés : martingales.
Mots-clés : martingales.
@article{TVP_1999_44_3_a12,
author = {A. Le Breton and A. A. Novikov},
title = {On stochastic approximation procedures with averaging},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {661--675},
year = {1999},
volume = {44},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TVP_1999_44_3_a12/}
}
A. Le Breton; A. A. Novikov. On stochastic approximation procedures with averaging. Teoriâ veroâtnostej i ee primeneniâ, Tome 44 (1999) no. 3, pp. 661-675. http://geodesic.mathdoc.fr/item/TVP_1999_44_3_a12/