Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1153152 | Statistics & Probability Letters | 2010 | 7 Pages |
Abstract
We compare the large deviations between jump Markov processes and their diffusion approximations for the problem of escape from a domain. It is known that the escape times are generally asymptotically different, leading to a quantitative error. In this paper we show that the escape point can also be different, which implies a qualitative error. In dimension one, for a general class of birth-and-death processes, we show that there always exists a domain [a,b][a,b] such that the jump process asymptotically escapes from aa and its approximation from bb.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Khashayar Pakdaman, Michèle Thieullen, Gilles Wainrib,