Some Results Based on a Version of the Generalized Dynamic Entropies

S. Yasaei Sekeh, G. R. Mohtashami Borzadaran and A. H. Rezaei Roknabadi

Communications in Statistics - Theory and Methods, 2014, vol. 43, issue 14, 2989-3006

Abstract: We propose new dynamic measures of uncertainty based on the notion of generalized dynamic entropy introduced in Di Crescenzo and Longobardi (2006). These can uniquely determine distribution functions in continuous and discrete cases, and the characterizations of some well-known distributions are provided. We also define some orderings and aging notions based on the generalized dynamic measures, and prove some of their properties, obtaining as corollaries results that have recently appeared in the literature.

Date: 2014
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DOI: 10.1080/03610926.2012.687069

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