A Note on Inverse Stereographic Projection of Elliptical Distributions

Jean-Luc Dortet-Bernadet () and Nicolas Wicker ()
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Jean-Luc Dortet-Bernadet: Université de Strasbourg
Nicolas Wicker: Université de Lille 1

Sankhya A: The Indian Journal of Statistics, 2018, vol. 80, issue 1, No 7, 138-151

Abstract: Abstract This note concerns a family of distributions on the unit sphere obtained by inverse stereographic projection of elliptical distributions. We give some properties of these distributions with emphasis on the study of unimodality. This construction encompasses many known families of distributions on the unit sphere. Finally we show that it is possible to define new families of unimodal distributions that allow anisotropy.

Keywords: Inverse stereographic projection; Sphere; Hypersphere; Unimodality; Elliptical distributions; Primary 62H11; Secondary 62H05 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s13171-017-0101-y

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