Abstract
The existence of a dominating point for an open convex set and a corresponding representation formula for large deviation probabilities are established in the infinite-dimensional setting under conditions which are both necessary and sufficient and follow from those used previously in $\mathbb{R}^d$ . A precise nonlogarithmic estimate of large deviation probabilities applicable to Gaussian measures is also included.
Citation
J. Kuelbs. "Large deviation probabilities and dominating points for open convex sets: nonlogarithmic behavior." Ann. Probab. 28 (3) 1259 - 1279, July 2000. https://doi.org/10.1214/aop/1019160334
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