A new extension of von Mises-Fisher distribution

Year 2021, Volume: 50 Issue: 6, 1838 - 1854, 14.12.2021

Meisam Moghimbeygi Mousa Golalizadeh

https://doi.org/10.15672/hujms.788296

Cited By: 1

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

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