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		"Gerichtete Statistik"@de ,
		"Directional statistics"@en ,
		"Statistiques directionnelles"@fr ;
	rdfs:comment	"Die gerichtete Statistik (auch zirkul\u00E4re Statistik) ist eine Teildisziplin der Statistik, die sich mit Richtungen besch\u00E4ftigt (Einheitsvektoren in Rn), Achsen (Linien durch den Ursprung in Rn) oder Drehungen in Rn. Generell befasst sich die Richtungsstatistik mit Beobachtungen auf kompakte Riemannsche Mannigfaltigkeiten. Eine in der gerichteten Statistik anzutreffende Verteilung ist die Von-Mises-Verteilung."@de ,
		"Les statistiques directionnelles (qui incluent les statistiques circulaires et sph\u00E9riques) sont une discipline des statistiques qui fournit des outils math\u00E9matiques pour traiter les observations angulaires, les directions (vecteurs unit\u00E9s dans Rn) ou les rotations de Rn. Plus g\u00E9n\u00E9ralement, les statistiques directionnelles traitent les observations dans des vari\u00E9t\u00E9s riemanniennes compactes. Gaile et Burt ont pos\u00E9 les premi\u00E8res bases et outils de cette discipline en 1980."@fr ,
		"Directional statistics (also circular statistics or spherical statistics) is the subdiscipline of statistics that deals with directions (unit vectors in Euclidean space, Rn), axes (lines through the origin in Rn) or rotations in Rn. More generally, directional statistics deals with observations on compact Riemannian manifolds including the Stiefel manifold."@en ,
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	dbo:abstract	"Les statistiques directionnelles (qui incluent les statistiques circulaires et sph\u00E9riques) sont une discipline des statistiques qui fournit des outils math\u00E9matiques pour traiter les observations angulaires, les directions (vecteurs unit\u00E9s dans Rn) ou les rotations de Rn. Plus g\u00E9n\u00E9ralement, les statistiques directionnelles traitent les observations dans des vari\u00E9t\u00E9s riemanniennes compactes. Gaile et Burt ont pos\u00E9 les premi\u00E8res bases et outils de cette discipline en 1980. On constate que les outils statistiques usuels ne fonctionnent pas correctement sur des angles : par exemple, il serait absurde que la moyenne d'un angle de 2 degr\u00E9s et d'un angle de 358 degr\u00E9s soit un angle de 180 degr\u00E9s, puisque 0 et 360 degr\u00E9s correspondent au m\u00EAme angle. Cela illustre la n\u00E9cessit\u00E9 d'outils statistiques sp\u00E9cifiques \u00E0 l'\u00E9tude de donn\u00E9es cycliques, comme les angles, mais aussi les p\u00E9riodes r\u00E9p\u00E9t\u00E9es (jours de la semaines, mois de l'ann\u00E9e, etc.). Le m\u00EAme probl\u00E8me se pose pour des donn\u00E9es qui repr\u00E9senteraient des angle di\u00E8dres ou des rotations en g\u00E9om\u00E9trie 3D, par exemple dans l'\u00E9tude de la structure des mol\u00E9cules."@fr ,
		"Die gerichtete Statistik (auch zirkul\u00E4re Statistik) ist eine Teildisziplin der Statistik, die sich mit Richtungen besch\u00E4ftigt (Einheitsvektoren in Rn), Achsen (Linien durch den Ursprung in Rn) oder Drehungen in Rn. Generell befasst sich die Richtungsstatistik mit Beobachtungen auf kompakte Riemannsche Mannigfaltigkeiten. Eine in der gerichteten Statistik anzutreffende Verteilung ist die Von-Mises-Verteilung."@de ,
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		"Directional statistics (also circular statistics or spherical statistics) is the subdiscipline of statistics that deals with directions (unit vectors in Euclidean space, Rn), axes (lines through the origin in Rn) or rotations in Rn. More generally, directional statistics deals with observations on compact Riemannian manifolds including the Stiefel manifold. The fact that 0 degrees and 360 degrees are identical angles, so that for example 180 degrees is not a sensible mean of 2 degrees and 358 degrees, provides one illustration that special statistical methods are required for the analysis of some types of data (in this case, angular data). Other examples of data that may be regarded as directional include statistics involving temporal periods (e.g. time of day, week, month, year, etc.), compass directions, dihedral angles in molecules, orientations, rotations and so on."@en ;
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