New estimation of Zipf–Mandelbrot and Shannon entropies via refinements of Jensen’s inequality

Zipf–Mandelbrot and Shannon entropies are some basic and useful tools to quantify information about certain phenomena in various fields of science and technology, for example statistics, ecology, biology, and information theory. In this paper, we obtain some new bounds for generalized Shannon and Zi...

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Bibliographic Details
Main Authors: Khurshid Ahmad, Muhammad Adil Khan, Shahid Khan, Amjad Ali, Yu-Ming Chu
Format: Article
Language:English
Published: AIP Publishing LLC 2021-01-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/5.0039672