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August, 1984 Convexity and Large Deviations
Peter Ney
Ann. Probab. 12(3): 903-906 (August, 1984). DOI: 10.1214/aop/1176993239


A convexity argument is used to establish a representation formula from which one can derive the asymptotics of large deviations of sums of i.i.d. random variables on $\mathbb{R}^d$. This simplifies a proof in [4] which relied on fixed point and probabilistic arguments.


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Peter Ney. "Convexity and Large Deviations." Ann. Probab. 12 (3) 903 - 906, August, 1984.


Published: August, 1984
First available in Project Euclid: 19 April 2007

zbMATH: 0543.60035
MathSciNet: MR744245
Digital Object Identifier: 10.1214/aop/1176993239

Primary: 60G10
Secondary: 60G50

Keywords: convexity , large deviations

Rights: Copyright © 1984 Institute of Mathematical Statistics

Vol.12 • No. 3 • August, 1984
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