Title
Minimax covariance estimation using commutator subgroup of lower triangular matrices
Abstract
This paper deals with the problem of estimating the normal covariance matrix relative to the Stein loss. The main interest concerns a new class of estimators which are invariant under a commutator subgroup of lower triangular matrices. The minimaxity of a James-Stein type invariant estimator under the subgroup is shown by means of a least favorable sequence of prior distributions. The class yields improved estimators on the James-Stein type invariant and minimax estimator.
Year
DOI
Venue
2014
10.1016/j.jmva.2013.11.007
J. Multivariate Analysis
Keywords
Field
DocType
minimax estimator,commutator subgroup,class yield,stein loss,main interest concern,james-stein type invariant,minimax covariance estimation,new class,favorable sequence,james-stein type invariant estimator,lower triangular matrix,covariance matrix,primary,wishart distribution
Combinatorics,Minimax,Commutator subgroup,Estimation of covariance matrices,Minimax estimator,Invariant (mathematics),Statistics,Triangular matrix,Invariant estimator,Mathematics,Estimator
Journal
Volume
ISSN
Citations 
124,
0047-259X
2
PageRank 
References 
Authors
0.52
1
1
Name
Order
Citations
PageRank
Hisayuki Tsukuma184.66