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Communications in Statistics - Theory and Methods Volume 52, 2023 - Issue 21
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Article

On the distribution of Gini’s rank association index

Yiwei Zonga School of Mathematics, University of Edinburgh, Edinburgh, UKView further author information
,
Ffion Loringb Mathematical Sciences, University of Bath, Bath, UKView further author information
&
William F. Scottc Institute of Human Sciences, University of Oxford, Oxford, UKCorrespondence[email protected]
View further author information
Pages 7788-7796 | Received 21 Sep 2021, Accepted 25 Apr 2022, Published online: 11 May 2022

References

  • Balasubramanian, K. 1980. Combinatorics and diagonals of matrices. Thesis, Indian Statistical Institute, Calcutta.
  • Bax, E. T. 1998. Finite-difference algorithms for counting problems. Thesis. California Institute of Technology, Pasadena, CA.
  • Bax, E. T., and J. Franklin. 1996. A finite-difference sieve to count paths and cycles by length. Information Processing Letters 60 (4):171–6. doi:10.1016/S0020-0190(96)00159-7.
  • Betro, B. 1993. On the distribution of Gini’s rank association coefficient. Communications in Statistics - Simulation and Computation 22 (2):497–505. doi:10.1080/03610919308813105.
  • Blum, J. R., J. Kiefer, and M. Rosenblatt. 1961. Distribution free tests of independence based on the sample distribution function. The Annals of Mathematical Statistics 32 (2):485–98. doi:10.1214/aoms/1177705055.
  • Cifarelli, D. M., and E. Regazzini. 1977. On a distribution-free test of independence based on Gini’s rank association coefficient. Recent Developments in Statistics (Proceedings of the European Meeting of Statisticians, Grenoble 1976), Amsterdam, North Holland, 375–85.
  • Diaconis, P., and R. L. Graham. 1977. Spearman’s footrule as a measure of disarray. Journal of the Royal Statistical Society: Series B (Methodological) 39 (2):262–8. doi:10.1111/j.2517-6161.1977.tb01624.x.
  • Even-Zohar, C. 2020. Independence: fast rank tests. arXiv preprint arXiv: 2010.09712. doi:10.48550/arXiv.2010.09712.
  • Genest, C., and B. Rémillard. 2004. Tests of independence and randomness based on the empirical copula process. Test 13 (2):335–69. doi:10.1007/BF02595777.
  • Genest, C., J. Nešlehová, and N. Ben Ghorbal. 2010. Spearman’s footrule and Gini’s gamma: A review with complements. Journal of Nonparametric Statistics 22 (8):937–54. doi:10.1080/10485250903499667.
  • Gini, C. 1914. L’Ammontare e la Composizione della Ricchezza delle Nazione. Torino: Bocca.
  • Glynn, D. G. 2010. The permanent of a square matrix. European Journal of Combinatorics 31 (7):1887–91. doi:10.1016/j.ejc.2010.01.010.
  • Gustafson, L. 2009. Spearman’s rho null distribution. Last modified September 6. https://luke-g.com/math/spearman/index.html (accessed August 6, 2021).
  • Hoeffding, W. 1948. A non-parametric test of independence. The Annals of Mathematical Statistics 19 (4):546–57. doi:10.1214/aoms/1177730150.
  • Kendall, M. G. 1962. Rank correlation methods: 3d Ed. C. Griffin. Statistics 19:546–57.
  • Landenna, G., A. Scagni, and M. Boldrini. 1989. An approximated distribution of the Gini’s rank association coefficient. Communications in Statistics - Theory and Methods 18 (6):2017–26. doi:10.1080/03610928908830019.
  • Otten, A. 1973. The null distribution of Spearman’s S when n=13(1)16. Statistica Neerlandica 27 (1):19–20.
  • Salvemini, T. 1951. Sui vari indici di cograduazione. Statistica 11:133–54.
  • Savorgnan, F. 1915. Sulla Formazione dei Valori dell’Indice di Cograduazione. Studi Economico-Giuridici dell’Università di Cagliari.

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