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Nonparametric estimate of spectral density functions of sample covariance matrices: A first step

Authors :
Jing, Bing-Yi
Pan, Guangming
Shao, Qi-Man
Zhou, Wang
Source :
Annals of Statistics 2010, Vol. 38, No. 6, 3724-3750
Publication Year :
2012

Abstract

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.<br />Comment: Published in at http://dx.doi.org/10.1214/10-AOS833 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)

Subjects

Subjects :
Mathematics - Statistics Theory

Details

Database :
arXiv
Journal :
Annals of Statistics 2010, Vol. 38, No. 6, 3724-3750
Publication Type :
Report
Accession number :
edsarx.1211.3230
Document Type :
Working Paper
Full Text :
https://doi.org/10.1214/10-AOS833