English

Limit distributions of sample covariance matrices are compound free Poisson

Probability 2015-11-03 v1

Abstract

We show that the empirical distribution of the eigenvalues of the sample covariance matrix of certain random vectors (not necessarily independent entries) with bounded marginal L4L^{4} norms converges weakly to a compound free Poisson distribution.

Keywords

Cite

@article{arxiv.1511.00049,
  title  = {Limit distributions of sample covariance matrices are compound free Poisson},
  author = {M. Boedihardjo},
  journal= {arXiv preprint arXiv:1511.00049},
  year   = {2015}
}