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On the Comparison of Relative Spacings with Applications

Author

Listed:
  • Félix Belzunce

    (Universidad de Murcia)

  • Carolina Martínez-Riquelme

    (Universidad de Murcia)

  • José M. Ruiz

    (Universidad de Murcia)

  • Miguel A. Sordo

    (Universidad de Cádiz)

Abstract

In this paper we introduce the notion of relative spacings. We show the interest of this notion in several contexts like reliability and economy, and we provide several results for the comparison of relative spacings from two populations.

Suggested Citation

  • Félix Belzunce & Carolina Martínez-Riquelme & José M. Ruiz & Miguel A. Sordo, 2017. "On the Comparison of Relative Spacings with Applications," Methodology and Computing in Applied Probability, Springer, vol. 19(2), pages 357-376, June.
    • Handle: RePEc:spr:metcap:v:19:y:2017:i:2:d:10.1007_s11009-016-9479-6
    DOI: 10.1007/s11009-016-9479-6
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    References listed on IDEAS

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    1. Satya R. Chakravarty & Patrick Moyes, 2003. "Individual welfare, social deprivation and income taxation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(4), pages 843-869, June.
    2. Paulo Oliveira & Nuria Torrado, 2015. "On proportional reversed failure rate class," Statistical Papers, Springer, vol. 56(4), pages 999-1013, November.
    3. Belzunce, Félix & Pinar, José F. & Ruiz, José M. & Sordo, Miguel A., 2012. "Comparison of risks based on the expected proportional shortfall," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 292-302.
    4. James B. McDonald, 2008. "Some Generalized Functions for the Size Distribution of Income," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Duangkamon Chotikapanich (ed.), Modeling Income Distributions and Lorenz Curves, chapter 3, pages 37-55, Springer.
    5. Belzunce, Félix & Pinar, José F. & Ruiz, José M. & Sordo, Miguel A., 2013. "Comparison of concentration for several families of income distributions," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1036-1045.
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