Time weighted entropies
نویسندگان
چکیده
منابع مشابه
Simple inequalities for weighted entropies
A number of inequalities for the weighted entropies is proposed, mirroring properties of a standard (Shannon) entropy and related quantities. 2000 MSC. 60A10, 60B05, 60C05
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A number of simple inequalities for the weighted entropies is proposed, mirroring properties of a standard (Shannon) entropy and related quantities. 1 The weighted Gibbs inequality and its consequences The definition and initial results on weighted entropy were introduced in [1, 14]. Further progress was made, subsequently, in [27, 9, 17, 26, 28, 34, 18], and, more recently, in [8, 29, 2, 25, 3...
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In this note, the following basic question is explored: in a cyclic group, how are the Shannon entropies of the sum and difference of i.i.d. random variables related to each other? For the integer group, we show that they can differ by any real number additively, but not too much multiplicatively; on the other hand, for Z/3Z, the entropy of the difference is always at least as large as that of ...
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We generalize the weighted cumulative entropies (WCRE and WCE), introduced in [5], for a system or component lifetime. Representing properties of cumulative entropies, several bounds and inequalities for the WCRE is proposed. 2000 MSC. 62N05, 62B10
متن کاملOn relative weighted entropies with central moments weight functions
The definition and a number of inequalities for a standard DE were illustrated in [9, 3, 7]. Furthermore, in [1, 6] the initial definition and results on weighted entropy was introduced. Following [10, 5, 8, 11], recently in [4, 2, 13, 14, 15], a similar method with standard DE drives to emerge certain properties and applications of information-theoretical weighted entropies with a number of de...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 2000
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-84/85-1-265-278