LARGE DEVIATIONS FOR LATTICE SYSTEMS .1. PARAMETRIZED INDEPENDENT FIELDS

Authors
SEPPALAINEN T
Citation
T. Seppalainen, LARGE DEVIATIONS FOR LATTICE SYSTEMS .1. PARAMETRIZED INDEPENDENT FIELDS, Probability theory and related fields, 96(2), 1993, pp. 241-260
Citations number
14
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Probability theory and related fields → ACNP
ISSN journal
01788051
Volume
96
Issue
2
Year of publication
1993
Pages
241 - 260
Database
ISI
SICI code
0178-8051(1993)96:2<241:LDFLS.>2.0.ZU;2-S
Abstract
We prove large deviation theorems for empirical measures of independen t random fields whose distributions depend measurably on an auxiliary parameter. This dependence respects the action of the shift group, and a large deviation principle holds whenever a certain ergodicity condi tion is satisfied. We also investigate the entropy functions for these processes, especially in relation to the usual relative entropy.