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Mean residual life and increasing convex comparison of shock models

Author

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  • Fagiuoli, E.
  • Pellerey, F.

Abstract

Two devices are subjected to shocks arriving according to a general counting process. Let M1 and M2 be the random number of shocks that cause the failure of the first and the second device, respectively. We find conditions on the counting process such that the mean residual life ordering, the increasing convex ordering and the expectation ordering between M1 and M2 are preserved in the random lifetimes of the two devices.

Suggested Citation

  • Fagiuoli, E. & Pellerey, F., 1994. "Mean residual life and increasing convex comparison of shock models," Statistics & Probability Letters, Elsevier, vol. 20(5), pages 337-345, August.
    • Handle: RePEc:eee:stapro:v:20:y:1994:i:5:p:337-345
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    Citations

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    Cited by:

    1. Di Crescenzo, Antonio & Ricciardi, Luigi M., 1996. "Comparing first-passage times for semi-Markov skip-free processes," Statistics & Probability Letters, Elsevier, vol. 30(3), pages 247-256, October.
    2. Mervat Mahdy & Ramadan Mahdy, 2012. "On quantile reversed residual lifetime and its aging properties," METRON, Springer;Sapienza Università di Roma, vol. 70(2), pages 121-131, August.
    3. Pellerey, Franco, 1995. "On the preservation of some orderings of risks under convolution," Insurance: Mathematics and Economics, Elsevier, vol. 16(1), pages 23-30, April.
    4. Frostig, Esther, 2006. "On risk dependence and mrl ordering," Statistics & Probability Letters, Elsevier, vol. 76(3), pages 231-243, February.
    5. Arijit Patra & Chanchal Kundu, 2019. "On generalized orderings and ageing classes for residual life and inactivity time at random time," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(6), pages 691-704, August.
    6. Scarsini, Marco & Shaked, Moshe, 2000. "On the value of an item subject to general repair or maintenance," European Journal of Operational Research, Elsevier, vol. 122(3), pages 625-637, May.
    7. 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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