Classes of Geometrically Generalized Von Mises Distributions

Thomas Dietrich and Wolf-Dieter Richter ()
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Thomas Dietrich: University of Rostock
Wolf-Dieter Richter: University of Rostock

Sankhya B: The Indian Journal of Statistics, 2017, vol. 79, issue 1, No 2, 59 pages

Abstract: Abstract Starting from a norm-contoured or star-shaped, bivariate vector distribution giving rise to a generalized (non-Euclidean) radius coordinate, the conditional density of the polar angle given the fixed radius variable is derived and visualized. A model is fitted to real life data.

Keywords: Conditional offset approach; Model fit; Directional coordinate; Radius coordinate; Norm contoured distribution; Star-shaped distribution model; Polygonally contoured model; Non-concentric elliptically contoured model; p-generalized elliptically contoured model; Density generating function; Normalizing constant; Unimodality; Multimodality; Symmetry; Asymmetry; Stochastic representations; Process Analysis; Non-concentric elliptically contoured distributions; 60E05 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s13571-016-0118-6

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