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Relative ageing of (n−k+1)-out-of-n systems

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  • Misra, Neeraj
  • Francis, Jisha

Abstract

Various partial orders describing relative ageing of two life distributions have been proposed in the literature. These partial orders are based on various reliability measures such as failure rate, reversed failure rate and mean residual life. In this paper we study the relative ageing of (n−k+1)-out-of-n systems.

Suggested Citation

  • Misra, Neeraj & Francis, Jisha, 2015. "Relative ageing of (n−k+1)-out-of-n systems," Statistics & Probability Letters, Elsevier, vol. 106(C), pages 272-280.
    • Handle: RePEc:eee:stapro:v:106:y:2015:i:c:p:272-280
    DOI: 10.1016/j.spl.2015.07.013
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    References listed on IDEAS

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    1. Crescenzo, Antonio Di, 2000. "Some results on the proportional reversed hazards model," Statistics & Probability Letters, Elsevier, vol. 50(4), pages 313-321, December.
    2. Majid Rezaei & Behzad Gholizadeh & Salman Izadkhah, 2015. "On Relative Reversed Hazard Rate Order," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(2), pages 300-308, January.
    3. Finkelstein, Maxim, 2006. "On relative ordering of mean residual lifetime functions," Statistics & Probability Letters, Elsevier, vol. 76(9), pages 939-944, May.
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    Cited by:

    1. Neeraj Misra & Jisha Francis, 2020. "Relative ageing in frailty and resilience models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(2), pages 171-196, February.

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