Open Access
July, 1991 Large Deviations for Markov Processes with Discontinuous Statistics, I: General Upper Bounds
Paul Dupuis, Richard S. Ellis, Alan Weiss
Ann. Probab. 19(3): 1280-1297 (July, 1991). DOI: 10.1214/aop/1176990344

Abstract

In this paper we prove an upper large deviation bound for a general class of Markov processes, which includes processes with discontinuous statistics. We also specialize the results to a class of jump Markov processes that model scaled queuing systems.

Citation

Download Citation

Paul Dupuis. Richard S. Ellis. Alan Weiss. "Large Deviations for Markov Processes with Discontinuous Statistics, I: General Upper Bounds." Ann. Probab. 19 (3) 1280 - 1297, July, 1991. https://doi.org/10.1214/aop/1176990344

Information

Published: July, 1991
First available in Project Euclid: 19 April 2007

zbMATH: 0735.60027
MathSciNet: MR1112416
Digital Object Identifier: 10.1214/aop/1176990344

Subjects:
Primary: 60F10
Secondary: 60J99

Keywords: Markov processes , queueing systems , Upper large deviation bound

Rights: Copyright © 1991 Institute of Mathematical Statistics

Vol.19 • No. 3 • July, 1991
Back to Top