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Lower bounds on the smallest eigenvalue of a sample covariance matrix.


 
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1. Title Title of document Lower bounds on the smallest eigenvalue of a sample covariance matrix.
 
2. Creator Author's name, affiliation, country Pavel Yaskov; Steklov Mathematical Institute of RAS; Russian Federation
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Covariance matrices; Gram matrices; Random matrices
 
3. Subject Subject classification 60B20
 
4. Description Abstract We provide tight lower bounds on the smallest eigenvalue of a sample covariance matrix of a centred isotropic random vector under weak or no assumptions on its components.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Russian Scientific Fund
 
7. Date (YYYY-MM-DD) 2014-12-06
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/3807
 
10. Identifier Digital Object Identifier 10.1214/ECP.v19-3807
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 19
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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