Some results on Tsallis entropy measure and k-record values

Vikas Kumar

Physica A: Statistical Mechanics and its Applications, 2016, vol. 462, issue C, 667-673

Abstract: Extensive or non-extensive statistical mechanics arise from the additive or non-additivity of the corresponding entropy measures. Non-additive entropy measures are important for many applications. In this article, we consider and study a non-additive Tsallis entropy for k-record statistics from some continuous probability models. Furthermore, we prove a characterization result for the Tsallis entropy of k-record values. At the end, we study Tsallis residual entropy for k-record statistics.

Keywords: Shannon entropy; k-record values; Residual entropy; Characterization (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:462:y:2016:i:c:p:667-673

DOI: 10.1016/j.physa.2016.05.064

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