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On the Accuracy of Kraft Upper Bound for the 𝐿 1 -Distance between Gaussian Densities in 𝑅 π‘˜

On the Accuracy of Kraft Upper Bound for the 𝐿 1 -Distance between Gaussian Densities in 𝑅 π‘˜ Abstract For a scaled family of centered nonsingular Gaussian measures in 𝑘 𝑘 the 𝐿 1 -distance between any two densities is compared with its Kraft upper bound. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

On the Accuracy of Kraft Upper Bound for the 𝐿 1 -Distance between Gaussian Densities in 𝑅 π‘˜

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References (8)

Publisher
de Gruyter
Copyright
Β© Heldermann Verlag
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.2005.679
Publisher site
See Article on Publisher Site

Abstract

Abstract For a scaled family of centered nonsingular Gaussian measures in 𝑘 𝑘 the 𝐿 1 -distance between any two densities is compared with its Kraft upper bound.

Journal

Georgian Mathematical Journalde Gruyter

Published: Dec 1, 2005

Keywords: 𝐿 1 -distance between probability densities; total variation; Hellinger integral; Kraft inequalities; Gaussian measure; scaling

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