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Generalized aging intensity functions

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  • Szymkowiak, Magdalena

Abstract

A family of generalized aging intensity functions is introduced and studied. The functions characterize lifetime distributions of univariate positive absolutely continuous random variables. Further on, the generalized aging intensity orders are defined and analyzed.

Suggested Citation

  • Szymkowiak, Magdalena, 2018. "Generalized aging intensity functions," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 198-208.
    • Handle: RePEc:eee:reensy:v:178:y:2018:i:c:p:198-208
    DOI: 10.1016/j.ress.2018.06.012
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    References listed on IDEAS

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    1. C.D. Lai, 2013. "Constructions and applications of lifetime distributions," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 29(2), pages 127-140, March.
    2. Asok Nanda & Moshe Shaked, 2001. "The Hazard Rate and the Reversed Hazard Rate Orders, with Applications to Order Statistics," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(4), pages 853-864, December.
    3. K. Cheng, 1982. "Contributions to nonparametric generalized failure rate function estimation," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 29(1), pages 215-225, December.
    4. Nanda, Asok K. & Bhattacharjee, Subarna & Alam, S.S., 2007. "Properties of aging intensity function," Statistics & Probability Letters, Elsevier, vol. 77(4), pages 365-373, February.
    5. 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.
    6. Bhattacharjee, Subarna & Nanda, Asok K. & Misra, Satya Kr., 2013. "Reliability analysis using ageing intensity function," Statistics & Probability Letters, Elsevier, vol. 83(5), pages 1364-1371.
    7. Jones, M. C., 2002. "On fractional uniform order statistics," Statistics & Probability Letters, Elsevier, vol. 58(1), pages 93-96, May.
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    Cited by:

    1. Jiang, Renyan & Qi, Faqun & Cao, Yu, 2023. "Relation between aging intensity function and WPP plot and its application in reliability modelling," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    2. Sulewski Piotr & Szymkowiak Magdalena, 2022. "The Weibull lifetime model with randomised failure-free time," Statistics in Transition New Series, Polish Statistical Association, vol. 23(4), pages 59-76, December.
    3. Gámiz, Maria Luz & Nozal-Cañadas, Rafael & Raya-Miranda, Rocío, 2020. "TTT-SiZer: A graphic tool for aging trends recognition," Reliability Engineering and System Safety, Elsevier, vol. 202(C).

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