Nested Inequalities Among Divergence Measures
نویسندگان
چکیده
منابع مشابه
Nested Inequalities Among Divergence Measures
In this paper we have considered an inequality having 11 divergence measures. Out of them three are logarithmic such as Jeffryes-Kullback-Leiber [4] [5] J-divergence. Burbea-Rao [1] Jensen-Shannon divergence and Taneja [7] arithmetic-geometric mean divergence. The other three are non-logarithmic such as Hellinger discrimination, symmetric χ−divergence, and triangular discrimination. Three more ...
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There are three classical divergence measures in the literature on information theory and statistics, namely, Jeffryes-Kullback-Leiber’s J-divergence, Sibson-Burbea-Rao’s JensenShannon divegernce and Taneja’s arithemtic geometric mean divergence. These bear an interesting relationship among each other and are based on logarithmic expressions. The divergence measures like Hellinger discriminatio...
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Inder Jeet Taneja Departamento de Matemática Universidade Federal de Santa Catarina 88.040-900 Florianópolis, SC, Brazil. e-mail: [email protected] http://www.mtm.ufsc.br/∼taneja Abstract There are three classical divergence measures exist in the literature on information theory and statistics. These are namely, Jeffryes-Kullback-Leiber [5, 6] J-divergence. Sibson-BurbeaRao [1] Jensen-Shannon ...
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Abstract There are three classical divergence measures exist in the literature on information theory and statistics. These are namely, Jeffryes-Kullback-Leiber J-divergence. Burbea-Rao [1] Jensen-Shannon divegernce and Taneja [8] arithmetic-geometric mean divergence. These three measures bear an interesting relationship among each other and are based on logarithmic expressions. The divergence m...
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In this paper we have considered two one parametric generalizations. These two generalizations have in particular the well known measures such as: J-divergence, Jensen-Shannon divergence and arithmetic-geometric mean divergence. These three measures are with logarithmic expressions. Also, we have particular cases the measures such as: Hellinger discrimination, symmetric χ2−divergence, and trian...
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ژورنال
عنوان ژورنال: Applied Mathematics & Information Sciences
سال: 2013
ISSN: 1935-0090,2325-0399
DOI: 10.12785/amis/070106