-
1
-
-
84857915628
-
-
Chevet type inequality and norms of submatrices, preprint.
-
R. Adamczak, R. Latała, A. Litvak, A. Pajor, N. Tomczak-Jaegermann, Chevet type inequality and norms of submatrices, preprint.
-
-
-
Adamczak, R.1
Latała, R.2
Litvak, A.3
Pajor, A.4
Tomczak-Jaegermann, N.5
-
2
-
-
77749271023
-
Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles
-
Adamczak R., Litvak A., Pajor A., Tomczak-Jaegermann N. Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles. J. Amer. Math. Soc. 2010, 23:535-561.
-
(2010)
J. Amer. Math. Soc.
, vol.23
, pp. 535-561
-
-
Adamczak, R.1
Litvak, A.2
Pajor, A.3
Tomczak-Jaegermann, N.4
-
3
-
-
79551492613
-
Sharp bounds on the rate of convergence of empirical covariance matrix
-
Adamczak R., Litvak A., Pajor A., Tomczak-Jaegermann N. Sharp bounds on the rate of convergence of empirical covariance matrix. C. R. Math. Acad. Sci. Paris 2011, 349:195-200.
-
(2011)
C. R. Math. Acad. Sci. Paris
, vol.349
, pp. 195-200
-
-
Adamczak, R.1
Litvak, A.2
Pajor, A.3
Tomczak-Jaegermann, N.4
-
4
-
-
44249127328
-
Sampling convex bodies: a random matrix approach
-
Aubrun G. Sampling convex bodies: a random matrix approach. Proc. Amer. Math. Soc. 2007, 135:1293-1303.
-
(2007)
Proc. Amer. Math. Soc.
, vol.135
, pp. 1293-1303
-
-
Aubrun, G.1
-
5
-
-
0001758959
-
Limit of the smallest eigenvalue of a large dimensional sample covariance matrix
-
Bai Z.D., Yin Y.Q. Limit of the smallest eigenvalue of a large dimensional sample covariance matrix. Ann. Probab. 1993, 21:1275-1294.
-
(1993)
Ann. Probab.
, vol.21
, pp. 1275-1294
-
-
Bai, Z.D.1
Yin, Y.Q.2
-
6
-
-
0042393715
-
On convex bodies and log-concave probability measures with unconditional basis
-
Geometric Aspects of Functional Analysis
-
Bobkov S.G., Nazarov F.L. On convex bodies and log-concave probability measures with unconditional basis. Lecture Notes in Math. 2003, vol. 1807:53-69.
-
(2003)
Lecture Notes in Math.
, vol.1807
, pp. 53-69
-
-
Bobkov, S.G.1
Nazarov, F.L.2
-
7
-
-
0001639899
-
The Brunn-Minkowski inequality in Gauss space
-
Borell C. The Brunn-Minkowski inequality in Gauss space. Invent. Math. 1975, 30:207-216.
-
(1975)
Invent. Math.
, vol.30
, pp. 207-216
-
-
Borell, C.1
-
8
-
-
0001820257
-
Random points in isotropic convex bodies
-
Convex Geometric Analysis
-
Bourgain J. Random points in isotropic convex bodies. Math. Sci. Res. Inst. Publ. 1999, vol. 34:53-58.
-
(1999)
Math. Sci. Res. Inst. Publ.
, vol.34
, pp. 53-58
-
-
Bourgain, J.1
-
9
-
-
0003208010
-
Uniform Central Limit Theorems
-
Cambridge University Press
-
Dudley R.M. Uniform Central Limit Theorems. Cambridge Stud. Adv. Math. 1999, vol. 63. Cambridge University Press.
-
(1999)
Cambridge Stud. Adv. Math.
, vol.63
-
-
Dudley, R.M.1
-
10
-
-
0001783943
-
Régularité des trajectoires des fonctiones aléatoires gaussiennes
-
Springer-Verlag, Ecole d'Eté de Probabilités de St-Flour 1974
-
Fernique X. Régularité des trajectoires des fonctiones aléatoires gaussiennes. Lecture Notes in Math. 1975, vol. 480:1-96. Springer-Verlag.
-
(1975)
Lecture Notes in Math.
, vol.480
, pp. 1-96
-
-
Fernique, X.1
-
13
-
-
0000145024
-
Some limit theorems for empirical processes
-
Giné E., Zinn J. Some limit theorems for empirical processes. Ann. Probab. 1984, 12(4):929-989.
-
(1984)
Ann. Probab.
, vol.12
, Issue.4
, pp. 929-989
-
-
Giné, E.1
Zinn, J.2
-
14
-
-
0002998367
-
Tail and moment estimates for sums of independent random variables with logarithmically concave tails
-
Gluskin E.D., Kwapien S. Tail and moment estimates for sums of independent random variables with logarithmically concave tails. Studia Math. 1995, 114:303-309.
-
(1995)
Studia Math.
, vol.114
, pp. 303-309
-
-
Gluskin, E.D.1
Kwapien, S.2
-
16
-
-
0041157299
-
Estimation of moments of sums of independent real random variables
-
Latała R. Estimation of moments of sums of independent real random variables. Ann. Probab. 1997, 25:1502-1513.
-
(1997)
Ann. Probab.
, vol.25
, pp. 1502-1513
-
-
Latała, R.1
-
17
-
-
84857920991
-
On weak tail domination of random vectors
-
Latała R. On weak tail domination of random vectors. Bull. Pol. Acad. Sci. Math. 2009, 57:75-80.
-
(2009)
Bull. Pol. Acad. Sci. Math.
, vol.57
, pp. 75-80
-
-
Latała, R.1
-
18
-
-
79955639872
-
r norms for log-concave vectors
-
r norms for log-concave vectors. J. Funct. Anal. 2011, 261:681-696.
-
(2011)
J. Funct. Anal.
, vol.261
, pp. 681-696
-
-
Latała, R.1
-
19
-
-
0003372425
-
Probability in Banach Spaces. Isoperimetry and Processes
-
Springer-Verlag, Berlin
-
Ledoux M., Talagrand M. Probability in Banach Spaces. Isoperimetry and Processes. Ergeb. Math. Grenzgeb. (3) 1991, vol. 23. Springer-Verlag, Berlin.
-
(1991)
Ergeb. Math. Grenzgeb. (3)
, vol.23
-
-
Ledoux, M.1
Talagrand, M.2
-
22
-
-
0003270948
-
Asymptotic Theory of Finite Dimensional Normed Spaces
-
Springer
-
Milman V.D., Schechtman G. Asymptotic Theory of Finite Dimensional Normed Spaces. Lecture Notes in Math. 1986, vol. 1200. Springer.
-
(1986)
Lecture Notes in Math.
, vol.1200
-
-
Milman, V.D.1
Schechtman, G.2
-
23
-
-
33846813628
-
Concentration of mass on convex bodies
-
Paouris G. Concentration of mass on convex bodies. Geom. Funct. Anal. 2006, 16(5):1021-1049.
-
(2006)
Geom. Funct. Anal.
, vol.16
, Issue.5
, pp. 1021-1049
-
-
Paouris, G.1
-
25
-
-
0033541884
-
Random vectors in the isotropic position
-
Rudelson M. Random vectors in the isotropic position. J. Funct. Anal. 1999, 164:60-72.
-
(1999)
J. Funct. Anal.
, vol.164
, pp. 60-72
-
-
Rudelson, M.1
-
28
-
-
0002662601
-
Regularity of Gaussian processes
-
Talagrand M. Regularity of Gaussian processes. Acta Math. 1987, 159:99-149.
-
(1987)
Acta Math.
, vol.159
, pp. 99-149
-
-
Talagrand, M.1
-
29
-
-
0000016516
-
The supremum of some canonical processes
-
Talagrand M. The supremum of some canonical processes. Amer. J. Math. 1994, 116:283-325.
-
(1994)
Amer. J. Math.
, vol.116
, pp. 283-325
-
-
Talagrand, M.1
-
32
-
-
84938533326
-
Introduction to the non-asymptotic analysis of random matrices
-
Cambridge University Press, Y. Eldar, G. Kutyniok (Eds.)
-
Vershynin R. Introduction to the non-asymptotic analysis of random matrices. Compressed Sensing: Theory and Applications 2012, 210-268. Cambridge University Press. Y. Eldar, G. Kutyniok (Eds.).
-
(2012)
Compressed Sensing: Theory and Applications
, pp. 210-268
-
-
Vershynin, R.1
-
33
-
-
84865433010
-
How close is the sample covariance matrix to the actual covariance matrix?
-
in press. doi:10.1007/s10959-010-0338-z
-
R. Vershynin, How close is the sample covariance matrix to the actual covariance matrix?, J. Theoret. Probab., , in press. doi:10.1007/s10959-010-0338-z.
-
J. Theoret. Probab.
-
-
Vershynin, R.1
|