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moderate deviation principles

ESAIM: Probability and Statistics (1)

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1 results

Multidimensional limit theorems for smoothed extreme value estimates of pointprocesses boundaries
Ludovic Menneteau
Journal:

ESAIM: Probability and Statistics / Volume 12 / 2008

Published online by Cambridge University Press:

08 May 2008, pp. 273-307

Print publication:

2008
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In this paper, we give sufficient conditions to establish central limittheorems and moderate deviation principle for a class of support estimates ofempirical and Poisson point processes. The considered estimates are obtained bysmoothing some bias corrected extreme values of the point process. We show howthe smoothing permits to obtain Gaussian asymptotic limits and thereforepointwise confidence intervals. Some unidimensional and multidimensionalexamples are provided.