Extropy: Characterizations and dynamic versions Journal Articles

abstract

• AbstractSeveral information measures have been proposed and studied in the literature. One such measure is extropy, a complementary dual function of entropy. Its meaning and related aging notions have not yet been studied in great detail. In this paper, we first illustrate that extropy information ranks the uniformity of a wide array of absolutely continuous families. We then discuss several theoretical merits of extropy. We also provide a closed-form expression of it for finite mixture distributions. Finally, the dynamic versions of extropy are also discussed, specifically the residual extropy and past extropy measures.

authors

• Balakrishnan, Narayanaswamy
• Toomaj, Abdolsaeed
• Hashempour, Majid
• Balakrishnan, Narayanaswamy

status

• published 

publication date

• December 2023

has subject area

• 0102 Applied Mathematics (FoR)
• 0104 Statistics (FoR)
• Statistics & Probability (Science Metrix)

published in

• Journal of Applied Probability  Journal

keywords

• ENTROPY
• FISHER INFORMATION
• Kullback-Leibler information
• Mathematics
• Physical Sciences
• Science & Technology
• Shannon's entropy
• Statistics & Probability
• UNIVARIATE
• dynamic extropy
• extropy
• mixture distribution
• relative extropy

Digital Object Identifier (DOI)

• 10.1017/jpr.2023.7

start page

• 1333

end page

• 1351

volume

• 60

issue

• 4