Converses of the Edmundson-Lah-Ribaric inequality for the generalized Csiszar divergence with applications to Zipf-Mandelbrot law

Rozarija Mikic, Dilda Pecaric, Josip Pecaric

Abstract


In this paper we obtain some estimates for the generalized f-divergence functional via converses of the Jensen and Edmundson-Lah-Ribaric inequalities for convex functions, and then we obtain some estimates for the Kullback-Leibler divergence. All of the obtained results are applied to Zipf-Mandelbrot law and Zipf law.

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DOI: https://doi.org/10.52846/ami.v45i2.976