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On the Spectral Density of Large Sample Covariance Matrices with Markov Dependent Columns

Probability 2012-03-19 v1

Abstract

We investigate the spectral distribution of large sample covariance matrices with independent columns and entries in the columns that stem from Markov chains. We characterize the limiting spectral densities by their moments. Correspondingly, the proof is based on a moment method.

Keywords

Cite

@article{arxiv.1203.3749,
  title  = {On the Spectral Density of Large Sample Covariance Matrices with Markov Dependent Columns},
  author = {Olga Friesen and Matthias Löwe},
  journal= {arXiv preprint arXiv:1203.3749},
  year   = {2012}
}

Comments

21 pages