On Dynamic Generalized Measures of Inaccuracy

Suchandan Kayal, Sunoj S. Madhavan, Rajesh Ganapathy

Abstract


Generalized information measures play an important role in the measurement of uncertainty of certain random variables, where the standard practice of applying ordinary uncertainty measures fails to fit. Based on the Renyi entropy and its divergence, we propose a generalized measure of inaccuracy of order α(≠1)>0
between two residual and past lifetime distributions of a system. We study some important properties and characterizations of these measures. A numerical example is given to illustrate the usefulness of the proposed measure.


Keywords


Kerridge inaccuracy measure; Renyi entropy; Reliability measures; Characterization

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References


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DOI: 10.6092/issn.1973-2201/6688