-
2
-
-
0001917727
-
Probability inequalities for the sum of independent random variables
-
doi:10.2307/2282438
-
G. Bennett, Probability inequalities for the sum of independent random variables, J. Amer. Statist. Assoc. 57 (1962) 33-45. doi:10.2307/2282438
-
(1962)
J. Amer. Statist. Assoc.
, vol.57
, pp. 33-45
-
-
Bennett, G.1
-
4
-
-
0003989054
-
-
Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge
-
R. M. Dudley, Uniform Central Limit Theorems, Cambridge Studies in Advanced Mathematics, vol.63, Cambridge University Press, Cambridge, 1999.
-
(1999)
Uniform Central Limit Theorems
, vol.63
-
-
Dudley, R.M.1
-
5
-
-
0000809561
-
Central limit theorems and weak laws of large numbers in certain Banach spaces, Z
-
doi:10.1007/BF00535258
-
E. Giné and J. Zinn, Central limit theorems and weak laws of large numbers in certain Banach spaces, Z. Wahrsch. Verw. Gebiete 62 (1983) 323-354. doi:10.1007/BF00535258
-
(1983)
Wahrsch. Verw. Gebiete
, vol.62
, pp. 323-354
-
-
Giné, E.1
Zinn, J.2
-
6
-
-
0012850740
-
Values of Mills' ratio of area to bounding ordinate and of the normal probability integral for large values of the argument
-
doi:10.1214/aoms/1177731721
-
R. D. Gordon, Values of Mills' ratio of area to bounding ordinate and of the normal probability integral for large values of the argument, Ann. Math. Statistics 12 (1941) 364-366. doi:10.1214/aoms/1177731721
-
(1941)
Ann. Math. Statistics
, vol.12
, pp. 364-366
-
-
Gordon, R.D.1
-
7
-
-
31344454903
-
Persistence in high-dimensional linear predictor selection and the virtue of overparametrization
-
doi:10.3150/bj/1106314846
-
E. Greenshtein and Y. Ritov, Persistence in high-dimensional linear predictor selection and the virtue of overparametrization, Bernoulli 10 (2004) 971-988. doi:10.3150/bj/1106314846
-
(2004)
Bernoulli
, vol.10
, pp. 971-988
-
-
Greenshtein, E.1
Ritov, Y.2
-
8
-
-
0001613468
-
The best constants in the khintchine inequality
-
U. Haagerup, The best constants in the Khintchine inequality, Studia Math. 70 (1981) 231-283.
-
(1981)
Studia Math.
, vol.70
, pp. 231-283
-
-
Haagerup, U.1
-
9
-
-
84947403595
-
Probability inequalities for sums of bounded random variables
-
doi:10.2307/2282952
-
W. Hoeffding, Probability inequalities for sums of bounded random variables, J. Amer. Statist. Assoc. 58 (1963) 13-30. doi:10.2307/2282952
-
(1963)
J. Amer. Statist. Assoc.
, vol.58
, pp. 13-30
-
-
Hoeffding, W.1
-
10
-
-
0003929182
-
-
Classics in Mathematics, Springer-Verlag, Berlin
-
K. Itô and H. P. McKean, Jr., Diffusion Processes and their Sample Paths, Classics in Mathematics, Springer-Verlag, Berlin, 1974.
-
(1974)
Diffusion Processes and Their Sample Paths
-
-
Itô, K.1
McKean Jr., H.P.2
-
11
-
-
77956781055
-
Basic concepts in the geometry of Banach spaces
-
North-Holland, Amsterdam
-
W. B. Johnson and J. Lindenstrauss, Basic concepts in the geometry of Banach spaces, in Handbook of the Geometry of Banach Spaces, vol.1, North-Holland, Amsterdam, 2001, 1-84.
-
(2001)
Handbook of the Geometry of Banach Spaces
, vol.1
, pp. 1-84
-
-
Johnson, W.B.1
Lindenstrauss, J.2
-
12
-
-
76749122715
-
-
Tech. report, Georgia Institute of Technology, Atlanta, GA
-
A. Juditsky and A. S. Nemirovski, Large deviations of vector-valued martingales in 2-smooth normed spaces, Tech. report, Georgia Institute of Technology, Atlanta, GA, 2008.
-
(2008)
Large Deviations of Vector-valued Martingales in 2-smooth Normed Spaces
-
-
Juditsky, A.1
Nemirovski, A.S.2
-
13
-
-
0003771756
-
-
Springer-Verlag, Berlin
-
M. Ledoux and M. Talagrand, Probability in Banach Spaces: Isoperimetry and Processes, Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge / A Series of Modern Surveys in Mathematics, vol.23, Springer-Verlag, Berlin, 1991.
-
(1991)
Probability in Banach Spaces: Isoperimetry and Processes, Ergebnisse der Mathematik und Ihrer Grenzgebiete 3. Folge / A Series of Modern Surveys in Mathematics
, vol.23
-
-
Ledoux, M.1
Talagrand, M.2
-
14
-
-
0007259908
-
Topics in non-parametric statistics
-
Lecture Notes in Mathematics, Springer, Berlin
-
A. S. Nemirovski, Topics in non-parametric statistics, in Lectures on Probability Theory and Statistics (Saint-Flour, 1998), Lecture Notes in Mathematics, vol.1738, Springer, Berlin, 2000, 85-277.
-
(2000)
Lectures on Probability Theory and Statistics (Saint-Flour, 1998)
, vol.1738
, pp. 85-277
-
-
Nemirovski, A.S.1
-
15
-
-
76749125268
-
-
Regular Banach spaces and large deviations of random sums (working paper) 2004
-
Regular Banach spaces and large deviations of random sums (working paper) 2004.
-
-
-
-
17
-
-
10844254191
-
2 test under a symmetry condition
-
doi:10.1214/aos/1176325373
-
2 test under a symmetry condition, Ann. Statist. 22 (1994) 357-368. doi:10.1214/aos/1176325373
-
(1994)
Ann. Statist.
, vol.22
, pp. 357-368
-
-
Pinelis, I.1
-
18
-
-
0001638327
-
Optimum bounds for the distributions of martingales in Banach spaces
-
doi:10.1214/aop/1176988477
-
Optimum bounds for the distributions of martingales in Banach spaces, Ann. Probab. 22 (1994) 1679-1706. doi:10.1214/aop/1176988477
-
(1994)
Ann. Probab.
, vol.22
, pp. 1679-1706
-
-
-
19
-
-
27844498408
-
Monotonicity properties of the relative error of a Padé approximation for Mills' ratio
-
Monotonicity properties of the relative error of a Padé approximation for Mills' ratio, J. Inequal. Pure Appl. Math. 3/2 (2002).
-
(2002)
J. Inequal. Pure Appl. Math.
, vol.3
, Issue.2
-
-
-
20
-
-
84996139713
-
Toward the best constant factor for the Rademacher-Gaussian tail comparison
-
doi:10.1051/pa:2007027
-
Toward the best constant factor for the Rademacher-Gaussian tail comparison, ESAIM Probab. Stat. 11 (2007) 412-426. doi:10.1051/pa:2007027
-
(2007)
ESAIM Probab. Stat.
, vol.11
, pp. 412-426
-
-
-
21
-
-
76749143577
-
-
NSF-CBMS Regional Conference Series in Probability and Statistics, 2, Institute of Mathematical Statistics, Hay ward, CA
-
D. Pollard, Empirical Processes: Theory and Applications, NSF-CBMS Regional Conference Series in Probability and Statistics, 2, Institute of Mathematical Statistics, Hay ward, CA, 1990.
-
(1990)
Empirical Processes: Theory and Applications
-
-
Pollard, D.1
-
22
-
-
58549102501
-
Moment inequalities for sums of dependent random variables under projective conditions
-
doi:10.1007/s10959-008-0155-9
-
E. Rio, Moment inequalities for sums of dependent random variables under projective conditions, J. Theoret. Probab. 22(2009) 146-163. doi:10.1007/s10959-008-0155-9
-
(2009)
J. Theoret. Probab.
, vol.22
, pp. 146-163
-
-
Rio, E.1
-
23
-
-
0000395709
-
A nonsymmetric correlation inequality for Gaussian measure
-
doi:10.1006/jmva.1998.1784
-
S. J. Szarek and E. Werner, A nonsymmetric correlation inequality for Gaussian measure, J. Multivariate Anal. 68 (1999) 193-211.doi:10.1006/jmva.1998. 1784
-
(1999)
J. Multivariate Anal.
, vol.68
, pp. 193-211
-
-
Szarek, S.J.1
Werner, E.2
-
24
-
-
0003960026
-
-
Pitman Monographs and Surveys in Pure and Applied Mathematics, Longman Scientific & Technical, Harlow, UK
-
N. Tomczak-Jægermann, Banach-Mazur Distances and Finite-Dimensional Operator Ideals, Pitman Monographs and Surveys in Pure and Applied Mathematics, vol.38, Longman Scientific & Technical, Harlow, UK, 1989.
-
(1989)
Banach-Mazur Distances and Finite-Dimensional Operator Ideals
, vol.38
-
-
Tomczak-Jægermann, N.1
-
25
-
-
0003885990
-
-
Cambridge Series in Statistical and Probabilistic Mathematics, Cambridge University Press, Cambridge
-
S. A. van de Geer, Applications of Empirical Process Theory, Cambridge Series in Statistical and Probabilistic Mathematics, vol.6, Cambridge University Press, Cambridge, 2000.
-
(2000)
Applications of Empirical Process Theory
, vol.6
-
-
Van De Geer, S.A.1
|