{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,18]],"date-time":"2023-10-18T20:34:04Z","timestamp":1697661244318},"reference-count":18,"publisher":"Bentham Science Publishers Ltd.","issue":"1","license":[{"start":{"date-parts":[[2017,12,29]],"date-time":"2017-12-29T00:00:00Z","timestamp":1514505600000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/legalcode"}],"content-domain":{"domain":["openstatisticsandprobabilityjournal.com","benthamopen.com"],"crossmark-restriction":true},"short-container-title":["TOSPJ"],"published-print":{"date-parts":[[2017,12,29]]},"abstract":"<jats:sec><jats:title>Background:<\/jats:title><jats:p>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.<\/jats:p><\/jats:sec><jats:sec><jats:title>Objective:<\/jats:title><jats:p>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.<\/jats:p><\/jats:sec><jats:sec><jats:title>Results:<\/jats:title><jats:p>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.<\/jats:p><\/jats:sec>","DOI":"10.2174\/1876527001708010039","type":"journal-article","created":{"date-parts":[[2018,1,4]],"date-time":"2018-01-04T12:33:16Z","timestamp":1515069196000},"page":"39-52","update-policy":"http:\/\/dx.doi.org\/10.2174\/crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Clustering Directions Based on the Estimation of a Mixture of Von Mises-Fisher Distributions"],"prefix":"10.2174","volume":"08","author":[{"given":"Adelaide","family":"Figueiredo","sequence":"first","affiliation":[]}],"member":"965","reference":[{"key":"ref1","doi-asserted-by":"publisher","unstructured":"Dhillon IS, Modha DS. 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