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Spearman's footrule and Gini's gamma: a review with complements

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  • Christian Genest
  • Johanna Nešlehová
  • Noomen Ben Ghorbal

Abstract

The scattered literature on Spearman's footrule and Gini's gamma is surveyed. The following topics are covered: finite-sample moments and asymptotic distribution under independence; large-sample distribution under arbitrary alternatives; asymptotic relative efficiency for testing independence; consistent asymptotic variance estimation through the jackknife; multivariate generalisations and uses. Complementary results and an extensive bibliography are provided, along with several original illustrations.

Suggested Citation

  • Christian Genest & Johanna Nešlehová & Noomen Ben Ghorbal, 2010. "Spearman's footrule and Gini's gamma: a review with complements," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 22(8), pages 937-954.
    • Handle: RePEc:taf:gnstxx:v:22:y:2010:i:8:p:937-954
    DOI: 10.1080/10485250903499667
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    Cited by:

    1. Vanderford Courtney & Sang Yongli & Dang Xin, 2020. "Two symmetric and computationally efficient Gini correlations," Dependence Modeling, De Gruyter, vol. 8(1), pages 373-395, January.
    2. Nguyen, Hoang & Javed, Farrukh, 2023. "Dynamic relationship between Stock and Bond returns: A GAS MIDAS copula approach," Journal of Empirical Finance, Elsevier, vol. 73(C), pages 272-292.
    3. Moshe Kelner & Zinoviy Landsman & Udi E. Makov, 2022. "Probabilistic Peak Demand Estimation Using Members of the Clayton Generalized Gamma Copula Family," Energies, MDPI, vol. 15(16), pages 1-15, August.
    4. Salim Bouzebda, 2023. "On Weak Convergence of the Bootstrap Copula Empirical Process with Random Resample Size," Stats, MDPI, vol. 6(1), pages 1-16, February.
    5. David E. Allen, 2022. "Cryptocurrencies, Diversification and the COVID-19 Pandemic," JRFM, MDPI, vol. 15(3), pages 1-25, February.
    6. Vanderford Courtney & Sang Yongli & Dang Xin, 2020. "Two symmetric and computationally efficient Gini correlations," Dependence Modeling, De Gruyter, vol. 8(1), pages 373-395, January.
    7. Girard Stéphane, 2018. "Transformation of a copula using the associated co-copula," Dependence Modeling, De Gruyter, vol. 6(1), pages 298-308, December.

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