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On generalized reversed aging intensity functions


[ 1 ] Instytut Automatyki i Robotyki, Wydział Automatyki, Robotyki i Elektrotechniki, Politechnika Poznańska | [ P ] employee

Scientific discipline (Law 2.0)

[2.2] Automation, electronics and electrical engineering

Year of publication


Published in

Ricerche di Matematica

Journal year: 2022 | Journal volume: vol. 71 | Journal number: iss. 1

Article type

scientific article

Publication language


  • generalized reversed aging intensity
  • reversed hazard rate
  • generalized Pareto distribution
  • generalized reversed aging intensity order

EN The reversed aging intensity function is defined as the ratio of the instantaneous reversed hazard rate to the baseline value of the reversed hazard rate. It analyzes the aging property quantitatively, the higher the reversed aging intensity, the weaker the tendency of aging. In this paper, a family of generalized reversed aging intensity functions is introduced and studied. Those functions depend on a real parameter. If the parameter is positive they characterize uniquely the distribution functions of univariate positive absolutely continuous random variables, in the opposite case they characterize families of distributions. Furthermore, the generalized reversed aging intensity orders are defined and studied. Finally, several numerical examples are given.

Date of online publication


Pages (from - to)

85 - 108




License type

CC BY (attribution alone)

Open Access Mode

czasopismo hybrydowe

Open Access Text Version

final published version

Date of Open Access to the publication

in press

Points of MNiSW / journal


Impact Factor

1.034 [List 2020]

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