We focus on kernel estimator of the density function of the limiting spectral distribution of sample covariance matrix associated to a large class of weak dependent sequences of real-valued random variables having only moment of order 2. A simulation study is conducted to show the performance of the kernel estimators of the density function and then compare these estimators with the one obtained by the Stieltjes transform method.

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Spectrum Density Estimation of Sample Covariance Matrices with Correlated Entries

  • Zahira Khettab

摘要

We focus on kernel estimator of the density function of the limiting spectral distribution of sample covariance matrix associated to a large class of weak dependent sequences of real-valued random variables having only moment of order 2. A simulation study is conducted to show the performance of the kernel estimators of the density function and then compare these estimators with the one obtained by the Stieltjes transform method.