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The Entropy of a Discrete Real Variable
AbstractThe 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.
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Funkhouser, S. The Entropy of a Discrete Real Variable. Entropy 2012, 14, 1522-1538.View more citation formats
Funkhouser S. The Entropy of a Discrete Real Variable. Entropy. 2012; 14(8):1522-1538.Chicago/Turabian Style
Funkhouser, Scott. 2012. "The Entropy of a Discrete Real Variable." Entropy 14, no. 8: 1522-1538.