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2013

An optimal bound on the quantiles of a certain kind of distributions

Pinelis, Iosif

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An optimal bound on the quantiles of a certain kind of distributions is given.

Such a bound is used in applications to Berry--Esseen-type bounds for nonlinear statistics.

An optimal bound on the quantiles of a certain kind of distributions · Around

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Normal approximation for nonlinear statistics using a concentration inequality approach
L. H. Y. Chen and Q.-M. Shao · 2007
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Berry-Esséen bounds for general nonlinear statistics, with applications to Pearson’s and non-central Student’s and Hotelling’s (preprint), arXiv:0906.0177v1 [math.ST]
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I. Pinelis and R. Molzon
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