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Characterizations of distributions through selected functions of reliability theory

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  • Maria Iwińska
  • Magdalena Szymkowiak

Abstract

In this article, exponential distribution, two-parameter Weibull distribution, log-logistic distribution, log-log-logistic distribution, and Lomax distribution are characterized through selected functions of reliability theory: failure rate, aging intensity function, and log-odds rate.

Suggested Citation

  • Maria Iwińska & Magdalena Szymkowiak, 2017. "Characterizations of distributions through selected functions of reliability theory," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(1), pages 69-74, January.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:1:p:69-74
    DOI: 10.1080/03610926.2014.985837
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    Cited by:

    1. Rahma Abid & Célestin C. Kokonendji & Afif Masmoudi, 2020. "Geometric Tweedie regression models for continuous and semicontinuous data with variation phenomenon," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 104(1), pages 33-58, March.
    2. Mohamed Kayid & Mansour Shrahili, 2023. "Characterization Results on Lifetime Distributions by Scaled Reliability Measures Using Completeness Property in Functional Analysis," Mathematics, MDPI, vol. 11(6), pages 1-15, March.
    3. Szymkowiak, Magdalena, 2018. "Generalized aging intensity functions," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 198-208.
    4. Rahma Abid & Célestin C. Kokonendji & Afif Masmoudi, 2021. "On Poisson-exponential-Tweedie models for ultra-overdispersed count data," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 105(1), pages 1-23, March.

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