Seven Means, Generalized Triangular Discrimination, and Generating Divergence Measures
نویسندگان
چکیده
منابع مشابه
Seven Means, Generalized Triangular Discrimination, and Generating Divergence Measures
Abstract From geometrical point of view, Eve [2] studied seven means. These means are Harmonic, Geometric, Arithmetic, Heronian, Contra-harmonic, Root-mean square and Centroidal mean. We have considered for the first time a new measure calling generalized triangular discrimination. Inequalities among non-negative differences arising due to seven means and particular cases of generalized triangu...
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Jensen-Shannon, J-divergence and Arithmetic-Geometric mean divergences are three classical divergence measures known in the information theory and statistics literature. These three divergence measures bear interesting inequality among the three non-logarithmic measures known as triangular discrimination, Hellingar’s divergence and symmetric chi-square divergence. However, in 2003, Eve studied ...
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, s = 1 The first measure generalizes the well known J-divergence due to Jeffreys [16] and Kullback and Leibler [17]. The second measure gives a unified generalization of JensenShannon divergence due to Sibson [22] and Burbea and Rao [2, 3], and arithmeticgeometric mean divergence due to Taneja [27]. These two measures contain in particular some well known divergences such as: Hellinger’s discr...
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ژورنال
عنوان ژورنال: Information
سال: 2013
ISSN: 2078-2489
DOI: 10.3390/info4020198