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24 April 2024

» arxiv » math/0602276

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A Sub-Gaussian Berry-Esseen Theorem for the Hypergeometric Distribution
Soumendra N. Lahiri ; A. Chatterjee ; T. Maiti ; PostScript ; PDF ; Other formats ;
Date:	13 Feb 2006
Subject:	Probability; Statistics
Abstract:	In this paper, we derive a necessary and sufficient condition on the parameters of the Hypergeometric distribution for weak convergence to a Normal limit. We establish a Berry-Esseen theorem for the Hypergeometric distribution solely under this necessary and sufficient condition. We further derive a nonuniform Berry-Esseen bound where the tails of the difference between the Hypergeometric and the Normal distribution functions are shown to decay at a sub-Gaussian rate.
Source:	arXiv, math/0602276
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