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A link of extropy to entropy for continuous random variables via the generalized ϕ–entropy

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  • Francesco Buono
  • Maria Kateri
Abstract
The concepts of entropy and divergence, along with their past, residual, and interval variants are revisited in a reliability theory context and generalized families of them that are based on ϕ-functions are discussed. Special emphasis is given in the parametric family of entropies and divergences of Cressie and Read. For non-negative and absolutely continuous random variables, the dual to Shannon entropy measure of uncertainty, the extropy, is considered and its link to a specific member of the ϕ-entropies family is shown. A number of examples demonstrate the implementation of the generalized entropies and divergences, exhibiting their utility.

Suggested Citation

  • Francesco Buono & Maria Kateri, 2025. "A link of extropy to entropy for continuous random variables via the generalized ϕ–entropy," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 54(8), pages 2227-2245, April.
    • Handle: RePEc:taf:lstaxx:v:54:y:2025:i:8:p:2227-2245
    DOI: 10.1080/03610926.2024.2363869
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