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Some Results Based on a Version of the Generalized Dynamic Entropies

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

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.

Suggested Citation

  • S. Yasaei Sekeh & G. R. Mohtashami Borzadaran & A. H. Rezaei Roknabadi, 2014. "Some Results Based on a Version of the Generalized Dynamic Entropies," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(14), pages 2989-3006, July.
    • Handle: RePEc:taf:lstaxx:v:43:y:2014:i:14:p:2989-3006
    DOI: 10.1080/03610926.2012.687069
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    Cited by:

    1. Balakrishnan, Narayanaswamy & Buono, Francesco & Longobardi, Maria, 2022. "On Tsallis extropy with an application to pattern recognition," Statistics & Probability Letters, Elsevier, vol. 180(C).

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