A new extension of von Mises-Fisher distribution

Authors : Meisam MOGHİMBEYGİ, Mousa GOLALİZADEH

Pages : 1838-1854

Doi:10.15672/hujms.788296

View : 24 | Download : 9

Publication Date : 2021-12-14

Article Type : Research Paper

Abstract :Spherical distributions, including the von Mises-Fisher density, have received a great attention in the literature because of their usefulness to model circular data lying on the unit sphere. However, there is a paucity of research on proposing spherical densities possing multimode tuned with a single parameter. To fill in this gap, we extend von Mises-Fisher distribution to construct a new density. Moreover, some of the important statistical properties of the proposed distribution including the estimation of parameters are highlighted. To evaluate the performance of the proposed distribution, some simulation studies and analyzing three real-life examples are presented.
Keywords : Directional statistics, von Mises Fisher distribution, Spherical data, Multimodality, Bessel function