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

O. Friesen, M. Lowe

2014, v.20, №2, 349-374

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: dependent entries,Markov chains,Pastur - Marcenko law,random matrix,sample covariance matrix

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