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Convergence rate of expected spectral distributions of large random matrices. II: Sample covariance matrices. (English) Zbl 0779.60025

[For part I see the paper reviewed above.]
This second part is devoted to establish convergence rate for the sample covariance matrices. If \(y\), the ratio of the dimension to the degrees of freedom (or sample size), is different from 0 and 1, the author establishes the order of \(O(n^{-1/4})\), and if \(y\) is close to 1, the order \(O(n^{-5/48})\).

MSC:

60F15 Strong limit theorems
62F15 Bayesian inference

Citations:

Zbl 0779.60024
Full Text: DOI