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Limiting Spectral Distribution of Large-Dimensional Sample Covariance Matrices Generated by the Periodic Autoregressive Model

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  • Jin Zou
  • Dong Han
  • Georgios Psarrakos

Abstract

The explicit representation for the limiting spectral moments of sample covariance matrices generated by the periodic autoregressive model (PAR) is established. We propose to use the moment-constrained maximum entropy method to estimate the spectral density function. The experiments show that the maximum entropy spectral density function curve obtained based on the fourth-order limiting spectral moment can match histograms of the eigenvalues of the covariance matrices very well.

Suggested Citation

  • Jin Zou & Dong Han & Georgios Psarrakos, 2021. "Limiting Spectral Distribution of Large-Dimensional Sample Covariance Matrices Generated by the Periodic Autoregressive Model," Journal of Mathematics, Hindawi, vol. 2021, pages 1-9, August.
  • Handle: RePEc:hin:jjmath:9526991
    DOI: 10.1155/2021/9526991
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