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A comparison principle for large deviations

Authors: John R. Baxter and Naresh C. Jain
Journal: Proc. Amer. Math. Soc. 103 (1988), 1235-1240
MSC: Primary 60F10; Secondary 60B05
MathSciNet review: 955016
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Abstract: If $ \{ {\mu _n}\} $ and $ \left\{ {{\nu _n}} \right\}$ are two sequences of probability measures on a separable metric space, we give conditions under which $ \left\{ {{\mu _n}} \right\}$ satisfies a large deviation principle if and only if $ \left\{ {{\nu _n}} \right\}$ does. A known and a new theorem follow immediately from the application of this comparison principle to standard results in large deviation theory.

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Keywords: Large deviations, Banach-space-valued Random Variable
Article copyright: © Copyright 1988 American Mathematical Society