Abstract
In this paper, we show a sufficient condition under which the law of sums of i.i.d. compact random sets in a separable type p Banach space (resp. compact random upper semicontimuous functions) satisfies large deviations if the law of sums of its corresponding convex hull of compact random sets(resp. quasiconcave envelope of compact random upper semicontimuous functions) satisfies large deviations.
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Wang, X. (2013). A Note on Large Deviations of Random Sets and Random Upper Semicontinuous Functions. In: Kruse, R., Berthold, M., Moewes, C., Gil, M., Grzegorzewski, P., Hryniewicz, O. (eds) Synergies of Soft Computing and Statistics for Intelligent Data Analysis. Advances in Intelligent Systems and Computing, vol 190. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33042-1_18
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DOI: https://doi.org/10.1007/978-3-642-33042-1_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33041-4
Online ISBN: 978-3-642-33042-1
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