Large and Moderate Deviations of Random Upper Semicontinuous Functions |
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| Authors: | Yukio Ogura Xia Wang |
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| Affiliation: | 1. Department of Mathematics , Saga University , Saga, Japan;2. Department of Applied Mathematics , Beijing University of Technology , Beijing, P.R. China |
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| Abstract: | ![]()
We firstly discuss the topological properties of the space of upper semicontinuous functions, and then we obtain large deviation principles for random upper semicontinuous functions under various topologies. Finally, we prove moderate deviation principles for random sets and random upper semicontinuous functions. |
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| Keywords: | Large deviations Moderate deviations Random sets Random upper semicontinuous functions |
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