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Title

Some results on characterization of distributions in reliability analysis

Authors

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

Scientific discipline (Law 2.0)

[2.2] Automation, electronics, electrical engineering and space technology

Year of publication

2024

Published in

Communications in Statistics - Theory and Methods

Journal year: 2024 | Journal volume: in press

Article type

scientific article

Publication language

english

Keywords
EN
  • failure rate
  • reversed failure rate
  • log-odds rate function
  • Gini’s mean difference
  • generalized aging intensity
  • generalized reversed aging intensity
Abstract

EN So far, a lot of work has been done on the characterization of distributions. In this article, we characterize a lifetime random variable following any distribution among two-parameter Weibull, modified Weibull, modified Weibull extension, log-logistic, modified log-logistic, power Lomax, modified power Lomax, and inverse two-parameter Weibull distributions. The unctions, viz., failure rate, reversed failure rate, aging intensity, reversed aging intensity, and log odds rate, available in reliability theory, along with the recently introduced concepts of generalized aging intensity and generalized reversed aging intensity functions, are used in the analysis.

Date of online publication

27.01.2024

DOI

10.1080/03610926.2024.2306543

URL

https://www.tandfonline.com/doi/epdf/10.1080/03610926.2024.2306543?needAccess=true

Ministry points / journal

40

Impact Factor

0,8 [List 2022]

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