The Entropy of a Discrete Real VariableReportar como inadecuado


The Entropy of a Discrete Real Variable


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SPAWAR Systems Center Atlantic, Joint Base Charleston, North Charleston, SC 29406, USA





Abstract The discrete Shannon entropy H was formulated only to measure indeterminacy effected through a set of probabilities, but the indeterminacy in a real-valued discrete variable depends on both the allowed outcomes x and the corresponding probabilities Þ. A fundamental measure that is sensitive to both x and p is derived here from the total differential entropy of a continuous real variable and its conjugate in the discrete limit, where the conjugate is universally eliminated. The asymptotic differential entropy recovers H plus the new measure, named ≡, which provides a novel probe of intrinsic organization in sequences of real numbers. View Full-Text

Keywords: Shannon entropy; information entropy; information theory Shannon entropy; information entropy; information theory





Autor: Scott Funkhouser

Fuente: http://mdpi.com/



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