## The Annals of Applied Probability

### Sample Path Large Deviations and Convergence Parameters

Irina Ignatiouk-Robert

#### Abstract

In this paper we prove the local sample path large deviation estimates for a general class of Markov chains with discontinuous statistics. The local rate function is represented in terms of the convergence parameter of associated local transform matrices. Our method is illustrated by the case of perturbated random walks in $\mathbb{Z}^d$.

#### Article information

Source
Ann. Appl. Probab., Volume 11, Number 4 (2001), 1292-1329.

Dates
First available in Project Euclid: 5 March 2002

https://projecteuclid.org/euclid.aoap/1015345404

Digital Object Identifier
doi:10.1214/aoap/1015345404

Mathematical Reviews number (MathSciNet)
MR1878299

Zentralblatt MATH identifier
1025.60011

Subjects
Primary: 60F10: Large deviations
Secondary: 60J15 60K35

#### Citation

Ignatiouk-Robert, Irina. Sample Path Large Deviations and Convergence Parameters. Ann. Appl. Probab. 11 (2001), no. 4, 1292--1329. doi:10.1214/aoap/1015345404. https://projecteuclid.org/euclid.aoap/1015345404

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