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Characterizations of the IFR and DFR aging notions by means of the dispersive order


  • Pellerey, Franco
  • Shaked, Moshe


The purpose of this note is to show a new characterization of the IFR and DFR aging notions by means of the dispersive order. Our result extends results of Mailhot (1987) and of Belzunce, Candel and Ruiz (1995). Our method of proof can also be extended to handle comparisons of "past lives", that is, comparisons of [X - tX

Suggested Citation

  • Pellerey, Franco & Shaked, Moshe, 1997. "Characterizations of the IFR and DFR aging notions by means of the dispersive order," Statistics & Probability Letters, Elsevier, vol. 33(4), pages 389-393, May.
  • Handle: RePEc:eee:stapro:v:33:y:1997:i:4:p:389-393

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    Cited by:

    1. Denuit, Michel M. & Mesfioui, Mhamed, 2011. "The dispersive effect of cross-aging with archimedean copulas," Statistics & Probability Letters, Elsevier, vol. 81(9), pages 1407-1418, September.
    2. Jongwoo Jeon & Subhash Kochar & Chul Park, 2006. "Dispersive ordering—Some applications and examples," Statistical Papers, Springer, vol. 47(2), pages 227-247, March.
    3. Kayid, M. & Alamoudi, L., 2013. "Some results about the exponential ordering of inactivity time," Economic Modelling, Elsevier, vol. 33(C), pages 159-163.
    4. Belzunce, F., 1999. "On a characterization of right spread order by the increasing convex order," Statistics & Probability Letters, Elsevier, vol. 45(2), pages 103-110, November.
    5. Fernández-Ponce, J.M. & Pellerey, F. & Rodríguez-Griñolo, M.R., 2011. "A characterization of the multivariate excess wealth ordering," Insurance: Mathematics and Economics, Elsevier, vol. 49(3), pages 410-417.
    6. Belzunce, Félix & Ortega, Eva & Ruiz, José M., 1999. "The Laplace order and ordering of residual lives," Statistics & Probability Letters, Elsevier, vol. 42(2), pages 145-156, April.

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    Aging notions Stochastic orders;


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