Star-shaped distributions and their generalizations

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dc.creatorKamiya, Hidehiko
dc.creatorTakemura, Akimichi
dc.creatorKuriki, Satoshi
dc.date2006-05-23
dc.date.accessioned2026-07-07T09:56:45Z
dc.date.available2026-07-07T09:56:45Z
dc.descriptionElliptically contoured distributions can be considered to be the distributions for which the contours of the density functions are proportional ellipsoids. We generalize elliptically contoured densities to ``star-shaped distributions'' with concentric star-shaped contours and show that many results in the former case continue to hold in the more general case. We develop a general theory in the framework of abstract group invariance so that the results can be applied to other cases as well, especially those involving random matrices.
dc.identifierhttps://arxiv.org/abs/math/0605600
dc.identifierhttp://arxiv.org/abs/math/0605600
dc.identifierJournal of Statistical Planning and Inference, Vol.138, 3429-3447, 2008
dc.identifierdoi:10.1016/j.jspi.2006.03.016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167091
dc.subjectStatistics Theory
dc.subject60E05
dc.titleStar-shaped distributions and their generalizations
dc.typetext

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