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Large deviation theorem for random covariance matrices

Complex Variables 2017-07-25 v1 Probability

Abstract

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.

Keywords

Cite

@article{arxiv.1707.07174,
  title  = {Large deviation theorem for random covariance matrices},
  author = {Tien-Cuong Dinh and Duc-Viet Vu},
  journal= {arXiv preprint arXiv:1707.07174},
  year   = {2017}
}

Comments

21 pages

R2 v1 2026-06-22T20:54:44.944Z