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Fractional Conformable Approximation of Csiszar’s f-Divergence

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Intelligent Analysis: Fractional Inequalities and Approximations Expanded

Part of the book series: Studies in Computational Intelligence ((SCI,volume 886))

Abstract

Here are given tight probabilistic inequalities that give nearly best estimates for the Csiszar’s f-divergence. These use the right and left conformable fractional derivatives of the directing function f. Csiszar’s f-divergence or the so called Csiszar’s discrimination is used as a measure of dependence between two random variables which is a very important aspect of stochastics, we apply our results there. The Csiszar’s discrimination is the most essential and general measure for the comparison between two probability measures. See also [4].

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Correspondence to George A. Anastassiou .

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Anastassiou, G.A. (2020). Fractional Conformable Approximation of Csiszar’s f-Divergence. In: Intelligent Analysis: Fractional Inequalities and Approximations Expanded. Studies in Computational Intelligence, vol 886. Springer, Cham. https://doi.org/10.1007/978-3-030-38636-8_25

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