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Characteristic Polynomials of Sample Covariance Matrices

Probability 2009-06-16 v1

Abstract

We investigate the second-order correlation function of the characteristic polynomial of a sample covariance matrix. Starting from an explicit formula for the generating function, we re-obtain several well-known kernels from random matrix theory.

Keywords

Cite

@article{arxiv.0906.2763,
  title  = {Characteristic Polynomials of Sample Covariance Matrices},
  author = {Holger Kösters},
  journal= {arXiv preprint arXiv:0906.2763},
  year   = {2009}
}

Comments

26 pages

R2 v1 2026-06-21T13:13:41.678Z