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In this paper, an information geometric generalization of the skew divergence called the \u03b1-geodesical skew divergence is proposed, and its properties are studied.<\/jats:p>","DOI":"10.3390\/e23050528","type":"journal-article","created":{"date-parts":[[2021,4,25]],"date-time":"2021-04-25T22:31:39Z","timestamp":1619389899000},"page":"528","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["\u03b1-Geodesical Skew Divergence"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9953-3469","authenticated-orcid":false,"given":"Masanari","family":"Kimura","sequence":"first","affiliation":[{"name":"Department of Statistical Science, School of Multidisciplinary Sciences, The Graduate University for Advanced Studies (SOKENDAI), Kanagawa 240-0193, Japan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6405-4361","authenticated-orcid":false,"given":"Hideitsu","family":"Hino","sequence":"additional","affiliation":[{"name":"The Institute of Statistical Mathematics, Tokyo 190-0014, Japan"}]}],"member":"1968","published-online":{"date-parts":[[2021,4,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Deza, M.M., and Deza, E. 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