Results 21 to 30 of about 165 (112)
On Csiszár and Tsallis type f-divergences induced by superquadratic and convex functions
, 2018 In this paper, Csiszár and Tsallis f -divergences are studied for superquadratic and convex functions. Some comparison theorems for two divergences are provided.
P. Kluza, M. Niezgoda
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Some Noiseless Coding Theorems of Inaccuracy Measure of Order $\alpha$ and Type $\beta$
Sarajevo Journal of MathematicsIn this paper, we propose a parametric `useful' mean code length which is weighted by utilities and generalizes some well known mean code lengths available in the literature.
M. Baig, R. Dar
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Monotonicity of the Jensen functional for f-divergences with applications to the Zipf-Mandelbrot law
Mathematical Inequalities & Applications, 2019 The Jensen functional in its discrete form is brought in relation to the Csiszár divergence functional via its monotonicity property. Thus deduced general results branch into specific forms for some of the well known f− divergences, e.g.
Neda Lovričević +2 more
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Equality cases of inequalities involving generalized Csiszár and Tsallis type f-divergences
Mathematical Inequalities & Applications, 2019 In this note, we study the problem of equality case of two inequalities involving generalized Csiszár f -divergences and generalized Tsallis f -divergences, respectively, with a convex function f .
M. Niezgoda
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Approximations of Jensen divergence for twice differentiable functions
Journal of Inequalities and Applications, 2013 The Jensen divergence is used to measure the difference between two probability distributions. This divergence has been generalised to allow the comparison of more than two distributions.
E. Kikianty +3 more
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, 2013 In this paper, we give a Heisenberg-type or a Schrödinger-type uncertainty relation for generalized metric adjusted skew information or generalized metric adjusted correlation measure.
K. Yanagi, S. Furuichi, K. Kuriyama
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An involution inequality for the Kullback-Leibler divergence
, 2017 . Let Rt := t P + (1− t)Pι , where t ∈ (0,1) , P is a probability measure, and Pι is the push-forward image of P under a measurable involution ι . An inequality involving the Kullback–Leibler divergence of Rt from P is given. It is shown that the role of
I. Pinelis
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Dynamic Parameter Estimation Based on Minimum Cross-Entropy Method for Combining Information Sources [PDF]
, 2015 When combining information sources, e.g. measuring devices or experts, we deal with two problems: which combining method to choose (linear combination, geometric mean) and how to measure the reliability of the sources, i.e.
Sečkárová, Vladimíra
core
CUMULATIVE ENTROPIES: A SURVEY
, 2017 We present a review of cumulative entropies from reliability theory. 2010 Mathematics Subject Classification: Primary 94A17.
V. Preda +3 more
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An alternate measure of the cumulative residual Sharma-Taneja-Mittal entropy
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaWe define a new alternate measure of the cumulative residual Sharma-Taneja-Mittal entropy. For this measure, there are given upper and lower bounds, is introduced a consistent test based on the uniform distribution and some concrete numerical examples ...
Sfetcu Răzvan-Cornel +2 more
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