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Properties of aging intensity function

Author

Listed:
  • Nanda, Asok K.
  • Bhattacharjee, Subarna
  • Alam, S.S.

Abstract

Recently, the concept of aging intensity (AI) function has been introduced in the literature for evaluating the aging property of a unit (that may be a system or a living organism) quantitatively. In this paper, we discuss the properties of AI function and study its nature for various distributions. The closure properties of the aging classes defined in terms of AI function are also presented. We define an ordering, called aging intensity ordering, and study its closure properties under different reliability operations, viz., formation of k-out-of-n system, and increasing transformations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:4:p:365-373
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    Citations

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    Cited by:

    1. Navarro, Jorge, 2008. "Characterizations using the bivariate failure rate function," Statistics & Probability Letters, Elsevier, vol. 78(12), pages 1349-1354, September.
    2. M. Kayid & S. Izadkhah & Ming J. Zuo, 2017. "Some results on the relative ordering of two frailty models," Statistical Papers, Springer, vol. 58(2), pages 287-301, June.
    3. 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.
    4. Szymkowiak, Magdalena & Iwińska, Maria, 2016. "Characterizations of Discrete Weibull related distributions," Statistics & Probability Letters, Elsevier, vol. 111(C), pages 41-48.
    5. Nanda, Asok K. & Das, Suchismita, 2012. "Stochastic orders of the Marshall–Olkin extended distribution," Statistics & Probability Letters, Elsevier, vol. 82(2), pages 295-302.
    6. Szymkowiak, Magdalena, 2018. "Generalized aging intensity functions," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 198-208.
    7. 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.
    8. Bhattacharjee, Subarna & Nanda, Asok K. & Misra, Satya Kr., 2013. "Inequalities involving expectations to characterize distributions," Statistics & Probability Letters, Elsevier, vol. 83(9), pages 2113-2118.
    9. J. Jarrahiferiz & M. Kayid & S. Izadkhah, 2019. "Stochastic properties of a weighted frailty model," Statistical Papers, Springer, vol. 60(1), pages 53-72, February.

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