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Partial orderings of life distributions with respect to their aging properties

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  • Subhash C. Kochar
  • Douglas P. Wiens

Abstract

New partial orderings of life distributions are given. The concepts of decreasing mean residual life, new better than used in expectation, harmonic new better than used in expectation, new better than used in failure rate, and new better than used in failure rate average are generalized, so as to compare the aging properties of two arbitrary life distributions.

Suggested Citation

  • Subhash C. Kochar & Douglas P. Wiens, 1987. "Partial orderings of life distributions with respect to their aging properties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(6), pages 823-829, December.
    • Handle: RePEc:wly:navres:v:34:y:1987:i:6:p:823-829
    DOI: 10.1002/1520-6750(198712)34:63.0.CO;2-R
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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.
    2. Antonio Arriaza & Félix Belzunce & Carolina Martínez-Riquelme, 2021. "Sufficient Conditions for some Transform Orders Based on the Quantile Density Ratio," Methodology and Computing in Applied Probability, Springer, vol. 23(1), pages 29-52, March.
    3. Belzunce, F. & Candel, J. & Ruiz, J. M., 1996. "Dispersive orderings and characterization of ageing classes," Statistics & Probability Letters, Elsevier, vol. 28(4), pages 321-327, August.
    4. Xiaohu Li & Richard Yam, 2005. "Reversed preservation properties of some negative aging conceptions and stochastic orders," Statistical Papers, Springer, vol. 46(1), pages 65-78, January.
    5. P. G. Sankaran & M. Dileep Kumar, 2019. "Reliability properties of proportional hazards relevation transform," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(4), pages 441-456, May.
    6. Neeraj Misra & Jisha Francis, 2018. "Relative aging of (n − k + 1)‐out‐of‐n systems based on cumulative hazard and cumulative reversed hazard functions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(6-7), pages 566-575, September.
    7. Xiaohu Li & Ming J. Zuo, 2004. "Preservation of stochastic orders for random minima and maxima, with applications," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(3), pages 332-344, April.
    8. Fernandez-Ponce, J. M. & Infante-Macias, R. & Munoz-Perez, J., 1996. "Characterization of lifetime distributions based on a quantile dispersion measure," Computational Statistics & Data Analysis, Elsevier, vol. 21(5), pages 547-561, May.
    9. Abouammoh, A. M. & Ahmad, R. & Khalique, A., 2000. "On new renewal better than used classes of life distributions," Statistics & Probability Letters, Elsevier, vol. 48(2), pages 189-194, June.
    10. Li, Xiaohu & Shaked, Moshe, 2004. "The observed total time on test and the observed excess wealth," Statistics & Probability Letters, Elsevier, vol. 68(3), pages 247-258, July.
    11. Fernández-Ponce, J.M. & Pellerey, F. & Rodríguez-Griñolo, M.R., 2011. "On a new NBUE property in multivariate sense: An application," Computational Statistics & Data Analysis, Elsevier, vol. 55(12), pages 3283-3294, December.
    12. Kochar, Subhash & Xu, Maochao, 2010. "On the right spread order of convolutions of heterogeneous exponential random variables," Journal of Multivariate Analysis, Elsevier, vol. 101(1), pages 165-176, January.
    13. Emad‐Eldin A. A. Aly, 1993. "On testing for decreasing mean residual life ordering," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(5), pages 633-642, August.
    14. P. G. Sankaran & N. Unnikrishnan Nair & Nidhi P. Ramesh, 2016. "Quantification of relative ageing in discrete time," METRON, Springer;Sapienza Università di Roma, vol. 74(3), pages 339-355, December.
    15. 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.
    16. Enrico Fagiuoli & Franco Pellerey, 1993. "New partial orderings and applications," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(6), pages 829-842, October.
    17. Fernandez-Ponce, J. M. & Muñoz-Perez, J., 1997. "Characterization of lifetime distributions in the Ls-sense by a generalized spread," Statistics & Probability Letters, Elsevier, vol. 31(4), pages 323-331, February.

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