Generalized Relative AG Divergence of Type S and Information Inequalities
نویسندگان
چکیده
منابع مشابه
Relative information of type s, Csiszár's f-divergence, and information inequalities
During past years Dragomir has contributed a lot of work providing different kinds of bounds on the distance, information and divergence measures. In this paper, we have unified some of his results using the relative information of type s and relating it with the Csisz ar’s f -divergence. 2003 Elsevier Inc. All rights reserved.
متن کاملRelative Divergence Measures and Information Inequalities
There are many information and divergence measures exist in the literature on information theory and statistics. The most famous among them are Kullback-Leiber’s [17] relative information and Jeffreys [16] J-divergence, Information radius or Jensen difference divergence measure due to Sibson [23]. Burbea and Rao [3, 4] has also found its applications in the literature. Taneja [25] studied anoth...
متن کاملGeneralized Relative Information and Information Inequalities
In this paper, we have obtained bounds on Csiszár’s f-divergence in terms of relative information of type s using Dragomir’s [9] approach. The results obtained in particular lead us to bounds in terms of χ−Divergence, Kullback-Leibler’s relative information and Hellinger’s discrimination.
متن کاملOn the Integral Representations of Generalized Relative Type and Generalized Relative Weak Type of Entire Functions
In this paper we wish to establish the integral representations of generalized relative type and generalized relative weak type as introduced by Datta et al [9]. We also investigate their equivalence relation under some certain conditions.
متن کاملGeneralized Symmetric Divergence Measures and Inequalities
, 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: IOSR Journal of Mathematics
سال: 2012
ISSN: 2319-765X,2278-5728
DOI: 10.9790/5728-0432231