NEW INFORMATION THEORETIC MODELS, THEIR DETAILED PROPERTIES AND NEW INEQUALITIES Page No: 3115-3123

Om Parkash and Priyanka Kakkar

Keywords: Entropy, directed divergence, inaccuracy, concavity, convexity

Abstract: New parametric models concerning measures of information including entropy, joint entropy, conditional entropy, directed divergence and inaccuracy have been introduced and their detailed properties have been studied. A new concept to be called alpha logarithm has been introduced and the chain rule for entropy, alpha mutual entropy and directed divergence has been studied. More desirable properties known as subadditivity and strong subadditivity of the entropy function have been studied and certain new inequalities useful in the literature of information theory has been derived.



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