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A strong approximation theorem for stochastic recursive algorithms
Authors
Borkar, VS
Mitter, SK
Citation
Vs. Borkar et Sk. Mitter, A strong approximation theorem for stochastic recursive algorithms, J OPTIM TH, 100(3), 1999, pp. 499-513
Citations number
17
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN journal
00223239 →
ACNP
Volume
100
Issue
3
Year of publication
1999
Pages
499 - 513
Database
ISI
SICI code
0022-3239(199903)100:3<499:ASATFS>2.0.ZU;2-5
Abstract
The constant stepsize analog of Gelfand-Mitter type discrete-time stochasti c recursive algorithms is shown to track an associated stochastic different ial equation in the strong sense, i.e., with respect to an appropriate dive rgence measure.