The generalized von Mises distribution

By R. Gatto, S. Jammalamadaka. 2007

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A Family of Distributions on the Circle With Links to, and Applications Arising From, Möbius Transformation (2010, background): “To see this, note that Gatto and Jammalamadaka (2007) showed that the condition determining the unimodality or otherwise of the GvM distribution also can be reduced to the behavior of the roots of a quartic equation.”
Sine-skewed circular distributions (2011, methodology): “According to Siew et al. (2008), when these data are treated as being continuous, the MLL values for their generalized t model and its special cases of the generalized von Mises (Maksimov 1967; Gatto and Jammalamadaka 2007 ), generalized cardioid and generalized wrapped Cauchy distributions are −11”
Learning the Irreducible Representations of Commutative Lie Groups (2014, unknown): “We have found that the conjugate prior for this likelihood is the generalized von-Mises (Gatto & Jammalamadaka, 2007): where T + ( s ) = [cos( s ) , sin( s ) , . . . , cos( Ks ) , sin( Ks )] T .”
On Families of Distributions with Shape Parameters (2015, unknown): “Again, unimodality will be very much to the fore, although on C “multiplicative mix-tures” such as the generalized von Mises distribution (e.g. Gatto & Jammalamadaka, 2007) compete with ordinary mixtures for modelling multimodality.”