Moderate Deviations for Recursive Stochastic Algorithms

We prove a moderate deviation principle for the continuous time interpolation of discrete time recursive stochastic processes. The methods of proof are somewhat different from the corresponding large deviation result, and in particular the proof of the upper bound is more complicated.

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Bibliographic Details
Published inStochastic systems Vol. 5; no. 1; pp. 87 - 119
Main Authors Dupuis, Paul, Johnson, Dane
Format Journal Article
LanguageEnglish
Published 01.06.2015
Online AccessGet full text
ISSN1946-5238
1946-5238
DOI10.1287/14-SSY138

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Summary:We prove a moderate deviation principle for the continuous time interpolation of discrete time recursive stochastic processes. The methods of proof are somewhat different from the corresponding large deviation result, and in particular the proof of the upper bound is more complicated.
ISSN:1946-5238
1946-5238
DOI:10.1287/14-SSY138