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On weighted extropies

Author

Listed:
  • Narayanaswamy Balakrishnan
  • Francesco Buono
  • Maria Longobardi

Abstract

The extropy is a measure of information introduced as dual to entropy. It is a shift-independent information measure just as the entropy. We introduce here the notion of weighted extropy, a shift-dependent information measure which gives higher weights to larger values of random variables. We also study the weighted residual and past extropies as weighted versions of extropy for residual and past lifetimes. Bivariate versions extropy and weighted extropy are also described. Several examples are presented through out to illustrate all the concepts introduced here.

Suggested Citation

  • Narayanaswamy Balakrishnan & Francesco Buono & Maria Longobardi, 2022. "On weighted extropies," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(18), pages 6250-6267, September.
    • Handle: RePEc:taf:lstaxx:v:51:y:2022:i:18:p:6250-6267
    DOI: 10.1080/03610926.2020.1860222
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    Cited by:

    1. Islam A. Husseiny & Metwally A. Alawady & Salem A. Alyami & Mohamed A. Abd Elgawad, 2023. "Measures of Extropy Based on Concomitants of Generalized Order Statistics under a General Framework from Iterated Morgenstern Family," Mathematics, MDPI, vol. 11(6), pages 1-17, March.

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