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On measures of association as measures of positive dependence

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  • Nelsen, Roger B.

Abstract

We show that Spearman's rho is a measure of average positive (and negative) quadrant dependence, and that Kendall's tau is a measure of average total positivity (and reverse regularity) of order two.

Suggested Citation

  • Nelsen, Roger B., 1992. "On measures of association as measures of positive dependence," Statistics & Probability Letters, Elsevier, vol. 14(4), pages 269-274, July.
    • Handle: RePEc:eee:stapro:v:14:y:1992:i:4:p:269-274
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    Citations

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    Cited by:

    1. Aloysius Siow, 2015. "Testing Becker's Theory of Positive Assortative Matching," Journal of Labor Economics, University of Chicago Press, vol. 33(2), pages 409-441.
    2. Jone Ascorbebeitia & Eva Ferreira & Susan Orbe, 2022. "Testing conditional multivariate rank correlations: the effect of institutional quality on factors influencing competitiveness," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(4), pages 931-949, December.
    3. Stoyanov, Jordan, 1995. "Dependency measure for sets of random events or random variables," Statistics & Probability Letters, Elsevier, vol. 23(1), pages 13-20, April.
    4. Krajka, A., 1998. "On the class of g-monotone dependence functions," Statistics & Probability Letters, Elsevier, vol. 39(3), pages 213-227, August.
    5. Lai, C. D. & Xie, M., 2000. "A new family of positive quadrant dependent bivariate distributions," Statistics & Probability Letters, Elsevier, vol. 46(4), pages 359-364, February.
    6. Fang, Hong-Bin & Fang, Kai-Tai & Kotz, Samuel, 2002. "The Meta-elliptical Distributions with Given Marginals," Journal of Multivariate Analysis, Elsevier, vol. 82(1), pages 1-16, July.

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