Kullback's Contrast and Lorentzian Entropy

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Published under licence by IOP Publishing Ltd
, , Citation R A Treumann and A Kull 2000 Phys. Scr. 61 403 DOI 10.1238/Physica.Regular.061a00403

1402-4896/61/4/403

Abstract

We demonstrate that the celebrated Kullback information (contrast) provides the measure of the shortest binary string by which a statistical system can be described. This measure is based on Shannon information. For Lorentzian information (entropy) the string will always be longer under otherwise same conditions. Kullback information provides a direct link between Shannon and Lorentzian informations.

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10.1238/Physica.Regular.061a00403