A Probabilistic Upper Bound on Differential Entropy

dc.creatorDeStefano, Joseph
dc.creatorLearned-Miller, Erik
dc.date2005-04-21
dc.date.accessioned2026-07-07T08:15:26Z
dc.date.available2026-07-07T08:15:26Z
dc.descriptionA novel, non-trivial, probabilistic upper bound on the entropy of an unknown one-dimensional distribution, given the support of the distribution and a sample from that distribution, is presented. No knowledge beyond the support of the unknown distribution is required, nor is the distribution required to have a density. Previous distribution-free bounds on the cumulative distribution function of a random variable given a sample of that variable are used to construct the bound. A simple, fast, and intuitive algorithm for computing the entropy bound from a sample is provided.
dc.identifierhttps://arxiv.org/abs/cs/0504091
dc.identifierhttp://arxiv.org/abs/cs/0504091
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133447
dc.subjectInformation Theory
dc.titleA Probabilistic Upper Bound on Differential Entropy
dc.typetext

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