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Deviations in the Zipf and Heaps laws in natural languagesThis paper is devoted to verifying of the empirical Zipf and Hips laws in natural languages using
Sherman's and related inequalities with applications in information theory probability distributions. Using the Zipf-Mandelbrot law, we introduce new functionals to derive some related
Inequalities of the Jensen and Edmundson-Lah-Ribarič type for 3-convex functions with applications, as well as to the generalized f -divergence functional. Examples with Zipf-Mandelbrot law are given
CONVERSE TO THE SHERMAN INEQUALITY WITH APPLICATIONS the Zipf-Mandelbrot law and derived some related inequalities.
Zipf exponent of trajectory distribution in the hidden Markov model. The main goal is to study the power (Zipf) and nonpower asymptotics of the frequency list of trajectories
NEW BOUNDS FOR SHANNON, RELATIVE AND MANDELBROT ENTROPIES VIA ABEL-GONTSCHAROFF INTERPOLATING POLYNOMIALZipf-Mandelbrot entropy
Several new cyclic Jensen type inequalities and their applicationsZipf–Mandelbrot entropy
Finding exact constants in a Markov model of Zipfs law generation© Published under licence by IOP Publishing Ltd. According to the classical Zipfs law, the word
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