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On asymptotic efficiency of multivariate version of Spearman's rho

Probability 2009-06-08 v1 Statistics Theory Statistics Theory

Abstract

A multivariate version of Spearman's rho for testing independence is considered. Its asymptotic efficiency is calculated under a general distribution model specified by the dependence function. The efficiency comparison study that involves other multivariate Spearman-type test statistics is made. Conditions for Pitman optimality of the test are established. Examples that illustrate the quality of the multivariate Spearman's test are included.

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Cite

@article{arxiv.0906.1059,
  title  = {On asymptotic efficiency of multivariate version of Spearman's rho},
  author = {Alexander Nazarov and Natalia Stepanova},
  journal= {arXiv preprint arXiv:0906.1059},
  year   = {2009}
}

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18 pages