Monotonicity of the Jensen functional for f-divergences with applications to the Zipf-Mandelbrot law (CROSBI ID 680276)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Lovričević, Neda ; Pečarić, Đilda ; Pečarić, Josip
engleski
Monotonicity of the Jensen functional for f-divergences with applications to the Zipf-Mandelbrot law
The Jensen functional in its discrete form is brought in relation to the Csiszar divergence functional, this time via its monotonicity property. This approach presents a generalization of the previously obtained results that made use of interpolating Jensen-type inequalities. Thus the monotonicity property is integrated with the Zipf-Mandelbrot law and applied to f-divergences for probability distributions that originate from the Csiszar divergence functional: Kullback-Leibler divergence, Hellinger distance, Bhattacharyya distance, chi-square divergence, total variation distance. The Zipf-Mandelbrot and the Zipf law are widely used in various scientific fields and interdisciplinary and here the focus is on the aspect of the mathematical inequalities.
Jensen functional, monotonicity, Csiszar divergence functional, f-divergences, Zipf-Mandelbrot law.
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Podaci o prilogu
56-56.
2019.
objavljeno
Podaci o matičnoj publikaciji
International Research Conference 2019
Podaci o skupu
International Conference on Applied Mathematics, Optimization and Computation ICAMOC 2019
predavanje
24.06.2019-25.06.2019
Oslo, Norveška