Marčenko-Pastur law for Kendall’s tau

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[subscript 1 ]…,X[subscript n] with components that are independent and absolutely continuous with respect to the Lebesgue measure. This is the first...

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Bibliographic Details
Main Authors: Bandeira, Afonso S., Lodhia, Asad Iqbal, Rigollet, Philippe
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Institute of Mathematical Statistics 2018
Online Access:http://hdl.handle.net/1721.1/115158
https://orcid.org/0000-0002-6677-5349
https://orcid.org/0000-0002-0135-7162