Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1155864 | Stochastic Processes and their Applications | 2011 | 29 Pages |
Abstract
We investigate large deviations for the empirical measure of the forward and backward recurrence time processes associated with a classical renewal process with arbitrary waiting-time distribution. The Donsker–Varadhan theory cannot be applied in this case, and indeed it turns out that the large deviations rate functional differs from the one suggested by such a theory. In particular, a non-strictly convex and non-analytic rate functional is obtained.
► We study large deviations for the empirical measure of renewal processes. ► The rate functional is not the one suggested by the Donsker–Varadhan theory. ► A non-strictly convex and non-analytic rate functional is obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Raphaël Lefevere, Mauro Mariani, Lorenzo Zambotti,