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Lorenz ordering of means and medians

Author

Listed:
  • Arnold, Barry C.
  • Villaseñor, Jose A.

Abstract

Increasing sample size decreases the inequality of the sample mean as measured by the Lorenz order. A similar result occurs in the case of sample medians from symmetric distributions. In certain cases the sample median can be expected to be Lorenz ordered with respect to the sample mean. The problem of determining sufficient conditions for such Lorenz ordering remains open.

Suggested Citation

  • Arnold, Barry C. & Villaseñor, Jose A., 1986. "Lorenz ordering of means and medians," Statistics & Probability Letters, Elsevier, vol. 4(1), pages 47-49, January.
    • Handle: RePEc:eee:stapro:v:4:y:1986:i:1:p:47-49
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    Citations

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    Cited by:

    1. Wilfling, Bernd, 1996. "Lorenz ordering of power-function order statistics," Statistics & Probability Letters, Elsevier, vol. 30(4), pages 313-319, November.
    2. Kleiber, Christian, 2002. "Variability ordering of heavy-tailed distributions with applications to order statistics," Statistics & Probability Letters, Elsevier, vol. 58(4), pages 381-388, July.
    3. Adams Vallejos & Ignacio Ormazabal & Felix A. Borotto & Hernan F. Astudillo, 2018. "A new $\kappa$-deformed parametric model for the size distribution of wealth," Papers 1805.06929, arXiv.org.
    4. Vallejos, Adams & Ormazábal, Ignacio & Borotto, Félix A. & Astudillo, Hernán F., 2019. "A new κ-deformed parametric model for the size distribution of wealth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 819-829.
    5. Lu, ZhiYi & Meng, LiLi, 2011. "Stochastic comparisons for allocations of policy limits and deductibles with applications," Insurance: Mathematics and Economics, Elsevier, vol. 48(3), pages 338-343, May.

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