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On partial orderings of life distributions

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  • Harshinder Singh

Abstract

Various partial orderings of life distributions have been studied in a unified way with the help of some functions. Two new partial orderings have been defined. Relevance of these partial orderings, for comparing life of a new unit with residual life of a used unit, is discussed.

Suggested Citation

  • Harshinder Singh, 1989. "On partial orderings of life distributions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(1), pages 103-110, February.
    • Handle: RePEc:wly:navres:v:36:y:1989:i:1:p:103-110
    DOI: 10.1002/1520-6750(198902)36:13.0.CO;2-7
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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. Alamatsaz, Mohammad Hossein & Abbasi, Somayyeh, 2008. "Ordering comparison of negative binomial random variables with their mixtures," Statistics & Probability Letters, Elsevier, vol. 78(14), pages 2234-2239, October.
    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. Harshinder Singh & Radhey S. Singh, 1997. "Note: Optimal allocation of resources to nodes of series systems with respect to failure‐rate ordering," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(1), pages 147-152, February.
    5. Malomuzh, N.P. & Veytsman, B.A., 1990. "The classification of double critical points and thermodynamical properties in their vicinities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(2), pages 833-852.
    6. Sreenarayanapurath Madhavan Sunoj, 2004. "Characterizations of some continuous distributions using partial moments," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 353-362.
    7. 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.
    8. Misra, Neeraj & Singh, Harshinder & James Harner, E., 2003. "Stochastic comparisons of Poisson and binomial random variables with their mixtures," Statistics & Probability Letters, Elsevier, vol. 65(4), pages 279-290, December.
    9. Enrico Fagiuoli & Franco Pellerey, 1993. "New partial orderings and applications," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(6), pages 829-842, October.

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