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Negative cumulative extropy of uncertain variables with applications

Author

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  • Saeid Tahmasebi
  • Hojat Ghimatgar
  • Hamed Ahmadzade

Abstract

Recently, a measure of uncertainty termed by negative cumulative extropy (NCEX) is proposed by Tahmasebi and Toomaj (2022). It is a flexible extension of extropy measure which was proposed by Lad, Sanfilippo, and Agro (2015). To measure the uncertainty of uncertain variables, in this article, we propose the concept of NCEX through uncertainty distributions. Some properties of NCEX are derived, and some practical examples of uncertain variables are given. Several basic theorems are proposed. A formula of cross-extropy is defined via inverse uncertainty distributions. We also delve into a pattern recognition problem to highlight the importance of cross-extropy. Finally, applications to portfolio selection and signal processing are presented.

Suggested Citation

  • Saeid Tahmasebi & Hojat Ghimatgar & Hamed Ahmadzade, 2025. "Negative cumulative extropy of uncertain variables with applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 54(11), pages 3135-3148, June.
    • Handle: RePEc:taf:lstaxx:v:54:y:2025:i:11:p:3135-3148
    DOI: 10.1080/03610926.2024.2385589
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