Geodesic Normal distribution on the circle - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Metrika Année : 2012

Geodesic Normal distribution on the circle

Résumé

This paper is concerned with the study of a circular random distribution called geodesic Normal distribution recently proposed for general manifolds. This distribution, parameterized by two real numbers associated to some specific location and dispersion concepts, looks like a standard Gaussian on the real line except that the support of this variable is [0,2π) and that the Euclidean distance is replaced by the geodesic distance on the circle. Some properties are studied and comparisons with the von Mises distribution in terms of intrinsic and extrinsic means and variances are provided. Finally, the problem of estimating the parameters through the maximum likelihood method is investigated and illustrated with some simulations.
Fichier principal
Vignette du fichier
circGaussV5.pdf (329.03 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00548828 , version 1 (20-12-2010)
hal-00548828 , version 2 (23-02-2011)

Identifiants

Citer

Jean-François Coeurjolly, Nicolas Le Bihan. Geodesic Normal distribution on the circle. Metrika, 2012, 75 (7), pp.977-995. ⟨10.1007/s00184-011-0363-7⟩. ⟨hal-00548828v2⟩
264 Consultations
293 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More