2021•Journal of mathematical extension.Open access

An improvement of the upper bound on the entropy of information sources

Yamin Sayyari

Abstract

Theory of zeta functions and fractional calculus plays an important role in the statistical problems and Shannon's entropy. Estimation of Shannon's entropies of information sources from numerical simulation of long orbits is difficult. Our aim within this paper is to present a strong upper bound for the Shannon's entropy of information sources.

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Key concepts: Mathematics, Shannon's source coding theorem, Information theory, Upper and lower bounds, Entropy (arrow of time), Rényi entropy, Min entropy, Applied mathematics