engleski

Converses of the Edmundson-Lah-Ribarič inequality for Shannon entropy and Csiszar divergence with applications to Zipf-Mandelbrot law

In this paper we obtain some estimates for the generalized f-divergence functional via converses of the Jensen and Edmundson-Lah- Ribarič 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.

Edmundson-Lah-Ribarič inequalitiy ; convex functions ; f-divergence ; Kullback-Leibler divergence ; Zipf-Mandelbrot law ; Zipf law

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