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A note on dispersive ordering defined by hazard functions

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  • Bartoszewicz, J.

Abstract

Recently many authors (e.g.Shaked (1982), Deshpande and Kochar (1983), Sathe (1984), Bartoszewicz (1985), Ahmed et al. (1986)) have studied relations between the dispersive ordering and some other partial orderings of distributions and monotone failure rate distributions. This note presents an approach to the studyong these relations, which is based on properties of hazard functions. A connection between NBU and NWU distribution and the dispersive ordering is established.

Suggested Citation

  • Bartoszewicz, J., 1987. "A note on dispersive ordering defined by hazard functions," Statistics & Probability Letters, Elsevier, vol. 6(1), pages 13-16, September.
    • Handle: RePEc:eee:stapro:v:6:y:1987:i:1:p:13-16
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    Citations

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    Cited by:

    1. Bartoszewicz, Jaroslaw, 2002. "Mixtures of exponential distributions and stochastic orders," Statistics & Probability Letters, Elsevier, vol. 57(1), pages 23-31, March.
    2. Peng Zhao & N. Balakrishnan, 2011. "Dispersive ordering of fail-safe systems with heterogeneous exponential components," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 74(2), pages 203-210, September.
    3. Jongwoo Jeon & Subhash Kochar & Chul Park, 2006. "Dispersive ordering—Some applications and examples," Statistical Papers, Springer, vol. 47(2), pages 227-247, March.
    4. Khaledi, Baha-Eldin & Kochar, Subhash, 2000. "On dispersive ordering between order statistics in one-sample and two-sample problems," Statistics & Probability Letters, Elsevier, vol. 46(3), pages 257-261, February.
    5. Satya R. Chakravarty & Pietro Muliere, 2003. "Welfare indicators: A review and new perspectives. 1. Measurement of inequality," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 457-497.
    6. Bartoszewicz, Jaroslaw, 1999. "Characterizations of stochastic orders based on ratios of Laplace transforms," Statistics & Probability Letters, Elsevier, vol. 42(2), pages 207-212, April.
    7. Fernández-Ponce, J.M. & Rodríguez-Griñolo, R., 2006. "Preserving multivariate dispersion: An application to the Wishart distribution," Journal of Multivariate Analysis, Elsevier, vol. 97(5), pages 1208-1220, May.
    8. Barmalzan, Ghobad & Kosari, Sajad & Zhang, Yiying, 2021. "On stochastic comparisons of finite α-mixture models," Statistics & Probability Letters, Elsevier, vol. 173(C).
    9. Bartoszewicz, Jaroslaw, 1998. "Characterizations of the dispersive order of distributions by the Laplace transform," Statistics & Probability Letters, Elsevier, vol. 40(1), pages 23-29, September.
    10. Kochar, Subhash C., 1996. "Dispersive ordering of order statistics," Statistics & Probability Letters, Elsevier, vol. 27(3), pages 271-274, April.
    11. Belzunce, F. & Pellerey, Franco & Ruiz, J. M. & Shaked, Moshe, 1997. "The dilation order, the dispersion order, and orderings of residual lives," Statistics & Probability Letters, Elsevier, vol. 33(3), pages 263-275, May.
    12. Omid Shojaee & Manoochehr Babanezhad, 2023. "On some stochastic comparisons of arithmetic and geometric mixture models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 86(5), pages 499-515, July.

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