Title
Weighted covariance matrix estimation
Abstract
The paper proposes a cross-validated linear shrinkage estimation for population covariance matrices. Moreover we also propose a novel weighted estimator based on the thresholding and shrinkage methods for high dimensional datasets. It is applicable to a wider scope of different structures of covariance matrices. Some theoretical results about the cross-validated shrinkage method and weighted covariance estimation methods are also developed. The finite-sample performance of the proposed methods is illustrated through extensive simulations and real data analysis.
Year
DOI
Venue
2019
10.1016/j.csda.2019.04.017
Computational Statistics & Data Analysis
Keywords
Field
DocType
Thresholding,Shrinkage,Adaptive thresholding,Weighted,Bridge function
Applied mathematics,Population,Estimation of covariance matrices,Shrinkage,Matrix (mathematics),Thresholding,Covariance matrix,Statistics,Mathematics,Covariance,Estimator
Journal
Volume
ISSN
Citations 
139
0167-9473
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Guangren Yang101.69
Liu Yiming27316.37
Guangming Pan311.04