The density function of the limiting spectral distribution of general sample covariance matrices is usually unknown. We propose to use kernel estimators which are proved to be consistent. A simulation study is also conducted to show the performance of the estimators.
@article{1291126971,
author = {Jing, Bing-Yi and Pan, Guangming and Shao, Qi-Man and Zhou, Wang},
title = {Nonparametric estimate of spectral density functions of sample covariance matrices: A first step},
journal = {Ann. Statist.},
volume = {38},
number = {1},
year = {2010},
pages = { 3724-3750},
language = {en},
url = {http://dml.mathdoc.fr/item/1291126971}
}
Jing, Bing-Yi; Pan, Guangming; Shao, Qi-Man; Zhou, Wang. Nonparametric estimate of spectral density functions of sample covariance matrices: A first step. Ann. Statist., Tome 38 (2010) no. 1, pp. 3724-3750. http://gdmltest.u-ga.fr/item/1291126971/