A Sub-Gaussian Berry-Esseen Theorem for the Hypergeometric Distribution

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dc.creatorLahiri, Soumendra N.
dc.creatorChatterjee, A.
dc.creatorMaiti, T.
dc.date2006-02-13
dc.date.accessioned2026-07-07T08:07:33Z
dc.date.available2026-07-07T08:07:33Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/math/0602276
dc.identifierhttp://arxiv.org/abs/math/0602276
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130968
dc.subjectProbability
dc.subjectStatistics Theory
dc.subjectPrimary 60F05; Secondary 62E20
dc.titleA Sub-Gaussian Berry-Esseen Theorem for the Hypergeometric Distribution
dc.typetext

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