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2009 Large deviations for random upper semicontinuous functions
Yukio Ogura, Takayoshi Setokuchi
Tohoku Math. J. (2) 61(2): 213-223 (2009). DOI: 10.2748/tmj/1245849444

Abstract

In this paper, we shall study large deviation principle for random upper semicontinuous functions, and obtain Cramér type theorems for those whose underlying space is a separable Banach space of type $p$.

Citation

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Yukio Ogura. Takayoshi Setokuchi. "Large deviations for random upper semicontinuous functions." Tohoku Math. J. (2) 61 (2) 213 - 223, 2009. https://doi.org/10.2748/tmj/1245849444

Information

Published: 2009
First available in Project Euclid: 24 June 2009

zbMATH: 1181.60039
MathSciNet: MR2541406
Digital Object Identifier: 10.2748/tmj/1245849444

Subjects:
Primary: 60F10
Secondary: 03E72 , 60D05

Keywords: large deviations , random sets , random upper semicontinuous functions

Rights: Copyright © 2009 Tohoku University

Vol.61 • No. 2 • 2009
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