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.

Keywords


Entropy, Shannon’s entropy, Information source, Stochastic process, Zeta function

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