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arxiv: 1707.07174 · v1 · pith:2T2SB7KLnew · submitted 2017-07-22 · 🧮 math.CV · math.PR

Large deviation theorem for random covariance matrices

classification 🧮 math.CV math.PR
keywords randomcovariancedeviationlargematricestheoremcontrolleddistribution
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We establish a large deviation theorem for the empirical spectral distribution of random covariance matrices whose entries are independent random variables with mean 0, variance 1 and having controlled forth moments. Some new properties of Laguerre polynomials are also given.

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