In this work, we are interested in the moderate deviation principle for the statistic J n for an arbitrary space X and not necessarily finite partitions A n .
Moderate deviations of L1-error of empirical measures on partitions. Yu Miaoa,∗, Guangyu Yangb a College of Mathematics and Information Science, Henan ...
In this work, we establish a moderate deviation principle for the L1-error of empirical measures on partitions. As an application, the moderate deviation ...
We obtain a Chernoff-type large deviation result for the L 1 -error of empirical measure on partitions. As a corollary, large deviation asymptotics for the ...
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Asymptotic expression for the probability of excessive and moderate deviations are obtained for the mean of independent random variables, ^/-statistics, general ...
Abstract. Functionals in geometric probability are often expressed as sums of bounded functions exhibiting expo- nential stabilization.
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Yu, M.I.A.O.; Guangyu, Y.A.N.G. 2009: Moderate deviations of L1-error of empirical measures on partitions Applied Mathematics Letters 22(5): 782-786 ...
Jul 9, 2007 · Functionals in geometric probability are often expressed as sums of bounded functions exhibiting exponential stabilization.
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We prove large deviations on the scale {b2 n/n}n∈N of the moderate U-empirical measures {Mm,1 n. }n≥m in the stronger τΦ(E)-topologies, generated by a ...
This document provides an introduction to the theory of empirical processes. The standard references on this topic (e.g., [van der Vaart and Wellner, ...