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- W2071725938 abstract "We define a generalized entropy that measures the evenness of the distribution of the real non-negative elements of a multiset X. The approach is to determine a comparison multiset R which is in a precise sense equivalent to X and which contains only one distinct positive element, whose multiplicity k then yields the desired measure. To this end, R and X are considered equivalent if their p- and q- norms coincide. Accordingly, we define k and its logarithm to be the effective cardinality and the generalized entropy of X respectively, of the order p,q . We show that the new entropy measure is a generalization of the Renyi entropy after proper normalization of the multiset elements. We also discuss some properties of the proposed measure." @default.
- W2071725938 created "2016-06-24" @default.
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- W2071725938 date "2009-06-01" @default.
- W2071725938 modified "2023-09-23" @default.
- W2071725938 title "On a generic entropy measure in physics and information" @default.
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- W2071725938 doi "https://doi.org/10.1109/wiopt.2009.5291598" @default.
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