Título: Large deviation principles for Markov processes via Phi-Sobolev inequalities
Autores: Wu, Liming; Wuhan University and Université Blaise Pascal
Yao, Nian; Wuhan University
Fecha: 2008-01-01
Publicador: Electronic communications in probability
Fuente:
Tipo: Peer-reviewed Article

Tema: large deviations; functional inequalities; Orlicz space
60F15
Descripción: Via Phi-Sobolev inequalities, we give some sharp integrability conditions on $F$ for the large deviation principle of the empirical mean $\frac{1}{T}{\int_{0}^{T}{F(X_{s})}ds}$ for large time $T$, where $F$ is unbounded with values in some separable Banach space. Several examples are provided.
Idioma: No aplica

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