Confidence Sets for Spectral Projectros of Covariance Matrices

 
PIIS000523100002948-6-1
DOI10.31857/S000523100002948-6
Publication type Article
Status Published
Authors
Affiliation:
National Research University “Higher School of Economics”
Institute for Information Transmission Problems, RAS
Address: Russian Federation, Moscow
Affiliation:
Lomonosov Moscow State University
National Research University “Higher School of Economics”
Address: Russian Federation, Moscow
Affiliation:
Weierstrass Institute
Skolkovo Institute of Science and Technology
Institute for Information Transmission Problems of the Russian Academy of Sciences
Address: Russian Federation, Moscow
Journal nameDoklady Akademii nauk
EditionVolume 482 Issue 6
Pages644-647
Abstract

   

Keywords
Received06.12.2018
Publication date13.12.2018
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1. J. Tropp, User-friendly tail bounds for sums of random matrices, Found. Comput. Math., 12(4), (2012), 389Ts434.

2. R. Vershynin, Introduction to the non-asymptotic analysis of random matrices, In Compressed sensing, 210Ts268, Cambridge Univ. Press, Cambridge.

3. R. van Handel, On the spectral norm of gaussian random matrices, ArXiv:1502.05003, (2015).

4. V. Koltchinskii, K. Lounici, Concentration inequalities and moment bounds for sample covariance operators, ArXiv:1405.2468, (2015).

5. V. Koltchinskii, K. Lounici, Normal approximation and concentration of spectral projectors of sample covariance, ArXiv:1504.07333, (2015).

6. V. Spokoiny, M. Zhilova, Bootstrap confidence sets under model misspecification, Ann. Statist., 43(6), (2015), 2653Ts2675.

7. V. Chernozhukov, D. Chetverikov, D., K. Kato, Gaussian approximations and multiplier bootstrap for maxima of sums of highdimensional random vectors, Ann. Statist., 41 (6), (2013), 2786Ts2819.

8. V. Chernozhukov, D. Chetverikov, D., K. Kato, Central Limit Theorems and Bootstrap in High Dimensions, arXiv:1412.3661, (2014).

9. A. Naumov, V. Spokoiny, V. Ulyanov, Bootstrap confidence sets for spectral projectors of sample covariances. arXiv:1703.00871, (2017).

10. F. G?otze, A. Naumov, V. Spokoiny, V. Ulyanov, Large ball probabilities, Gaussian comparison and anti-concentration. arXiv:1708.08663v2, (2018).

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