Yaskov, Pavel Necessary and sufficient conditions for the Marchenko-Pastur theorem. (English) Zbl 1352.60008 Electron. Commun. Probab. 21, Paper No. 73, 8 p. (2016). Summary: We obtain necessary and sufficient conditions for the Marchenko-Pastur theorem for matrices with IID isotropic rows. Our conditions are related to a weak concentration property for certain quadratic forms of the rows. Cited in 8 Documents MSC: 60B20 Random matrices (probabilistic aspects) 15B52 Random matrices (algebraic aspects) Keywords:Marchenko-Pastur theorem; random matrices PDFBibTeX XMLCite \textit{P. Yaskov}, Electron. Commun. Probab. 21, Paper No. 73, 8 p. (2016; Zbl 1352.60008) Full Text: DOI Euclid