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Dispersive ordering by the spread function

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  • Muñoz-Perez, J.

Abstract

In this paper, we have introduced the Q-addition of random variables and we have shown that this concept is equivalent to dispersive ordering. Also, we have introduced an ordering, weaker than dispersive ordering, based on the spread function. This allows us to compare two distributions with the same finite support and to check these ordering of distributions by the spread function.

Suggested Citation

  • Muñoz-Perez, J., 1990. "Dispersive ordering by the spread function," Statistics & Probability Letters, Elsevier, vol. 10(5), pages 407-410, October.
    • Handle: RePEc:eee:stapro:v:10:y:1990:i:5:p:407-410
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    Citations

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    Cited by:

    1. Sordo, Miguel A., 2008. "Characterizations of classes of risk measures by dispersive orders," Insurance: Mathematics and Economics, Elsevier, vol. 42(3), pages 1028-1034, June.
    2. Kochar, Subhash C. & Carrière, K. C., 1997. "Connections among various variability orderings," Statistics & Probability Letters, Elsevier, vol. 35(4), pages 327-333, November.
    3. Belzunce, F., 1999. "On a characterization of right spread order by the increasing convex order," Statistics & Probability Letters, Elsevier, vol. 45(2), pages 103-110, November.

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