Large deviations for unbounded additive functionals of a Markov process with discrete time (noncompact case)

Large deviations for unbounded additive functionals of a Markov process with discrete time (noncompact case)

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Article ID: iaor1997264
Country: United States
Volume: 7
Issue: 3
Start Page Number: 423
End Page Number: 436
Publication Date: Jul 1994
Journal: Journal of Applied Mathematics and Stochastic Analysis
Authors: , ,
Abstract:

The authors combine the Donsker and Varadhan large deviation principle (l.d.p.) for the occupation measure of a Markov process with certain results of Deuschel and STroock, to obtain the l.d.p. for unbounded functionals. The approach relies on the concept of exponential tightness and on the Puhalskii theorem. Three illustrative examples are considered.

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