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  • 标题:Marčenko-Pastur law for Kendall’s tau
  • 本地全文:下载
  • 作者:Afonso S. Bandeira ; Asad Lodhia ; Philippe Rigollet
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2017
  • 卷号:22
  • DOI:10.1214/17-ECP59
  • 语种:English
  • 出版社:Electronic Communications in Probability
  • 摘要:We prove that Kendall’s Rank correlation matrix converges to the Marčenko Pastur law, under the assumption that observations are i.i.d random vectors $X_1, \ldots , X_n$ with components that are independent and absolutely continuous with respect to the Lebesgue measure. This is the first result on the empirical spectral distribution of a multivariate $U$-statistic.
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