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Spherical Logistic Distribution
Communications in Mathematics and Statistics ( IF 0.9 ) Pub Date : 2019-05-13 , DOI: 10.1007/s40304-018-00171-2
M. Moghimbeygi , M. Golalizadeh

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.

中文翻译:

球形物流分布

一些球形分布可以通过适当地变换平面上的密度来构造。由于欧几里德空间上的逻辑密度具有与正态分布相似的行为,因此有兴趣将其扩展为球形数据。本文介绍了单位球面上的球形逻辑分布,然后研究了相关的统计推断,包括通过矩量法和最大似然技术进行参数估计。结果表明,球形逻辑分布是具有边际逻辑密度函数的多峰分布。提议的密度具有旋转对称性,这在驱动与前两个力矩有关的一些重要结果方面起着关键作用。要更详细地研究建议的密度,
更新日期:2019-05-13
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