scholarly journals A novel approach for pre-filtering event sources using the von Mises–Fisher distribution

2020 ◽  
Vol 365 (3) ◽  
Author(s):  
D. Costantin ◽  
G. Menardi ◽  
A. R. Brazzale ◽  
D. Bastieri ◽  
J. H. Fan
Keyword(s):  
Fisher Distribution ◽  
Novel Approach ◽  
Von Mises

scholarly journals Clustering Directions Based on the Estimation of a Mixture of Von Mises-Fisher Distributions

2017 ◽  
Vol 08 (1) ◽  
pp. 39-52 ◽  
Author(s):  
Adelaide Figueiredo
Keyword(s):  
Statistical Analysis ◽  
Simulation Study ◽  
Directional Data ◽  
Fisher Distribution ◽  
Spherical Data ◽  
Model Unit ◽  
Type Algorithm ◽  
Estimation Maximization Algorithm ◽  
Von Mises ◽  
Unit Vectors

Background:In the statistical analysis of directional data, the von Mises-Fisher distribution plays an important role to model unit vectors. The estimation of the parameters of a mixture of von Mises-Fisher distributions can be done through the Estimation-Maximization algorithm.Objective:In this paper we propose a dynamic clusters type algorithm based on the estimation of the parameters of a mixture of von Mises-Fisher distributions for clustering directions, and we compare this algorithm with the Estimation-Maximization algorithm. We also define the between-groups and within-groups variability measures to compare the solutions obtained with the algorithms through these measures.Results:The comparison of the clusters obtained with both algorithms is provided for a simulation study based on samples generated from a mixture of two Fisher distributions and for an illustrative example with spherical data.

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