Spherical Logistic Distribution
M. Moghimbeygi , M. Golalizadeh
Communications in Mathematics and Statistics ›› 2020, Vol. 8 ›› Issue (2) : 151 -166.
Spherical Logistic Distribution
Some of the spherical distributions can be constructed through proper transformation of the densities on plane. Since the logistic density on the Euclidean space has similar behavior to the normal distribution, it is of interest to extend it for spherical data. In this paper, we introduce spherical logistic distribution on the unit sphere and then study relevant statistical inferences including parameters estimation through method of moments and maximum likelihood techniques. It is shown that the spherical logistic distribution is a multimodal distribution with the marginal logistic density function. Proposed density has rotational symmetry property and this plays a key role to drive some important results related to first two moments. To investigate the proposed density in more details, some simulation studies along with analyzing real-life data are also considered.
Bessel function / Logistic density / Bimodality / Spherical distribution / Rotational symmetry
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