-
2
-
-
0002455942
-
Distribution function inequalities for martingales
-
BURKHOLDER, D. L. (1973). Distribution function inequalities for martingales. Ann. Probab. 1 19-42.
-
(1973)
Ann. Probab.
, vol.1
, pp. 19-42
-
-
Burkholder, D.L.1
-
3
-
-
0000509434
-
Decoupling and Khintchine's inequalities for U-statistics
-
DE LA PEÑA, V. H. (1992). Decoupling and Khintchine's inequalities for U-statistics. Ann. Probab. 20 1877-1892.
-
(1992)
Ann. Probab.
, vol.20
, pp. 1877-1892
-
-
De La Peña, V.H.1
-
4
-
-
0000566943
-
Decoupling inequalities for the tail probabilities of multivariate U-statistics
-
DE LA PEÑA, V. H. and MONTGOMERY-SMITH, S. (1995). Decoupling inequalities for the tail probabilities of multivariate U-statistics. Ann. Probab. 23 806-816.
-
(1995)
Ann. Probab.
, vol.23
, pp. 806-816
-
-
De La Peña, V.H.1
Montgomery-Smith, S.2
-
5
-
-
0036542487
-
Decoupling and domination inequalities with application to Wald's identity for martingales
-
DE LA PEÑA, V. H. and ZAMFIRESCU, I.-M. (2002). Decoupling and domination inequalities with application to Wald's identity for martingales. Statist. Probab. Lett. 57 157-170.
-
(2002)
Statist. Probab. Lett.
, vol.57
, pp. 157-170
-
-
De La Peña, V.H.1
Zamfirescu, I.-M.2
-
6
-
-
21744443910
-
Extremal properties of Rademacher functions with applications to the Khintchine and Rosenthal inequalities
-
FIGIEL, T., HITCZENKO, P., JOHNSON, W. B., SCHECHTMAN, G. and ZINN, J. (1997). Extremal properties of Rademacher functions with applications to the Khintchine and Rosenthal inequalities. Trans. Amer. Math. Soc. 349 997-1027.
-
(1997)
Trans. Amer. Math. Soc.
, vol.349
, pp. 997-1027
-
-
Figiel, T.1
Hitczenko, P.2
Johnson, W.B.3
Schechtman, G.4
Zinn, J.5
-
7
-
-
0011321928
-
Exponential and moment inequalities for U-statistics
-
Birkhäuser, Boston
-
GINÉ, E., LATAŁA, R. and ZINN, J. (2000). Exponential and moment inequalities for U-statistics. In High-Dimensional Probability II 13-38. Birkhäuser, Boston.
-
(2000)
High-Dimensional Probability II
, pp. 13-38
-
-
Giné, E.1
Latała, R.2
Zinn, J.3
-
8
-
-
0001613468
-
The best constants in the Khintchine inequality
-
HAAGERUP, U. (1982). The best constants in the Khintchine inequality. Studio Math. 70 231-283.
-
(1982)
Studio Math.
, vol.70
, pp. 231-283
-
-
Haagerup, U.1
-
9
-
-
0035627804
-
Limit theorems for the infinite-degree U-statistics
-
HEILIG, C. and NOLAN, D. (2001). Limit theorems for the infinite-degree U-statistics. Statist. Sinica 11 289-302.
-
(2001)
Statist. Sinica
, vol.11
, pp. 289-302
-
-
Heilig, C.1
Nolan, D.2
-
10
-
-
0000291602
-
Best constants in martingale version of Rosenthal's inequality
-
HITCZENKO, P. (1990). Best constants in martingale version of Rosenthal's inequality. Ann. Probab. 18 1656-1668.
-
(1990)
Ann. Probab.
, vol.18
, pp. 1656-1668
-
-
Hitczenko, P.1
-
11
-
-
0001053569
-
On a domination of sums of random variables by sums of conditionally independent ones
-
HITCZENKO, P. (1994a). On a domination of sums of random variables by sums of conditionally independent ones. Ann. Probab. 22 453-468.
-
(1994)
Ann. Probab.
, vol.22
, pp. 453-468
-
-
Hitczenko, P.1
-
12
-
-
84966231986
-
On the behavior of the constant in a decoupling inequality for martingales
-
HITCZENKO, P. (1994b). On the behavior of the constant in a decoupling inequality for martingales. Proc. Amer. Math. Soc. 121 253-258.
-
(1994)
Proc. Amer. Math. Soc.
, vol.121
, pp. 253-258
-
-
Hitczenko, P.1
-
13
-
-
38149147764
-
Sharp inequality for randomly stopped sums of independent nonnegative random variables
-
HITCZENKO, P. (1994c). Sharp inequality for randomly stopped sums of independent nonnegative random variables. Stochastic Process. Appl. 51 63-73.
-
(1994)
Stochastic Process. Appl.
, vol.51
, pp. 63-73
-
-
Hitczenko, P.1
-
14
-
-
0031325298
-
Limit theorems for functionals of moving averages
-
HO, H.-C. and HSING, T. (1997). Limit theorems for functionals of moving averages. Ann. Probab. 25 1636-1669.
-
(1997)
Ann. Probab.
, vol.25
, pp. 1636-1669
-
-
Ho, H.-C.1
Hsing, T.2
-
17
-
-
0000159623
-
On an exact constant for the Rosenthal inequality
-
[English translation in Theory Probab. Appl. 42 (1997) 294-302.]
-
IBRAGIMOV, R. and SHARAKHMETOV, SH. (1997). On an exact constant for the Rosenthal inequality. Teor. Veroyatnost. i Primen. 42 341-350. [English translation in Theory Probab. Appl. 42 (1997) 294-302.]
-
(1997)
Teor. Veroyatnost. i Primen.
, vol.42
, pp. 341-350
-
-
Ibragimov, R.1
Sharakhmetov, Sh.2
-
19
-
-
0033242705
-
Analogues of Khintchine, Marcinkiewicz-Zygmund and Rosenthal inequalities for symmetric statistics
-
IBRAGIMOV, R. and SHARAKHMETOV, SH. (1999). Analogues of Khintchine, Marcinkiewicz-Zygmund and Rosenthal inequalities for symmetric statistics. Scand. J. Statist. 26 621-623.
-
(1999)
Scand. J. Statist.
, vol.26
, pp. 621-623
-
-
Ibragimov, R.1
Sharakhmetov, Sh.2
-
22
-
-
0000537934
-
Best constants in moment inequalities for linear combinations of independent and exchangeable random variables
-
JOHNSON, W. B., SCHECHTMAN, G. and ZINN, J. (1985). Best constants in moment inequalities for linear combinations of independent and exchangeable random variables. Ann. Probab. 13 234-253.
-
(1985)
Ann. Probab.
, vol.13
, pp. 234-253
-
-
Johnson, W.B.1
Schechtman, G.2
Zinn, J.3
-
23
-
-
0031477641
-
2-functions of nonnegative random bilinear forms and generalized U-statistics
-
2-functions of nonnegative random bilinear forms and generalized U-statistics. Ann. Probab. 25 1471-1501.
-
(1997)
Ann. Probab.
, vol.25
, pp. 1471-1501
-
-
Klass, M.J.1
Nowicki, K.2
-
24
-
-
0009319879
-
Random multilinear forms
-
KRAKOWIAK, W. and SZULGA, J. (1986). Random multilinear forms. Ann. Probab. 14 955-973.
-
(1986)
Ann. Probab.
, vol.14
, pp. 955-973
-
-
Krakowiak, W.1
Szulga, J.2
-
25
-
-
0011409278
-
Hypercontraction methods in moment inequalities for series of independent random variables in normed spaces
-
KWAPIEŃ, S. and SZULGA, J. (1991). Hypercontraction methods in moment inequalities for series of independent random variables in normed spaces. Ann. Probab. 19 1-8.
-
(1991)
Ann. Probab.
, vol.19
, pp. 1-8
-
-
Kwapień, S.1
Szulga, J.2
-
27
-
-
0041157299
-
Estimation of moments of sums of independent real random variables
-
LATAŁA, R. (1997). Estimation of moments of sums of independent real random variables. Ann. Probab. 25 1502-1513.
-
(1997)
Ann. Probab.
, vol.25
, pp. 1502-1513
-
-
Latała, R.1
-
28
-
-
0003256486
-
Inequalities: Theory of majorization and its applications
-
MARSHALL, A. W. and OLKIN, I. (1979). Inequalities: Theory of majorization and its applications. Math. Sci. Engrg. 143.
-
(1979)
Math. Sci. Engrg.
, vol.143
-
-
Marshall, A.W.1
Olkin, I.2
-
29
-
-
0000000103
-
Decoupling inequalities for multilinear forms in independent symmetric random variables
-
McCONNELL, T. R. and TAQQU, M. (1986). Decoupling inequalities for multilinear forms in independent symmetric random variables. Ann. Probab. 14 943-954.
-
(1986)
Ann. Probab.
, vol.14
, pp. 943-954
-
-
McConnell, T.R.1
Taqqu, M.2
-
30
-
-
0001581028
-
On a new approach to the study of the distribution of a norm of a random element in Hilbert space
-
Mokslas, Vilnius
-
NAGAEV, S. V. (1990). On a new approach to the study of the distribution of a norm of a random element in Hilbert space. In Probability Theory and Mathematical Statistics 2 214-226. Mokslas, Vilnius.
-
(1990)
Probability Theory and Mathematical Statistics
, vol.2
, pp. 214-226
-
-
Nagaev, S.V.1
-
31
-
-
0031291895
-
Some refinements of probabilistic and moment inequalities
-
NAGAEV, S. V. (1998). Some refinements of probabilistic and moment inequalities. Theory Probab. Appl. 42 707-713.
-
(1998)
Theory Probab. Appl.
, vol.42
, pp. 707-713
-
-
Nagaev, S.V.1
-
32
-
-
0000143520
-
Some inequalities for the distributions of sums of independent random variables
-
NAGAEV, S. V. and PINELIS, I. F. (1977). Some inequalities for the distributions of sums of independent random variables. Theory Probab. Appl. 22 248-256.
-
(1977)
Theory Probab. Appl.
, vol.22
, pp. 248-256
-
-
Nagaev, S.V.1
Pinelis, I.F.2
-
33
-
-
84923132097
-
Khinchin inequalities and a martingale extension of the sphere of their action
-
PESHKIR, G. and SHIRYAEV, A. N. (1995). Khinchin inequalities and a martingale extension of the sphere of their action. Russian Math. Surveys 50 849-904.
-
(1995)
Russian Math. Surveys
, vol.50
, pp. 849-904
-
-
Peshkir, G.1
Shiryaev, A.N.2
-
34
-
-
0010006651
-
Estimates for moments of infinite-dimensional martingales
-
PINELIS, I. F. (1980). Estimates for moments of infinite-dimensional martingales. Math. Notes 27 459-462.
-
(1980)
Math. Notes
, vol.27
, pp. 459-462
-
-
Pinelis, I.F.1
-
35
-
-
0001638327
-
Optimum bounds for the distributions of martingales in Banach spaces
-
PINELIS, I. (1994). Optimum bounds for the distributions of martingales in Banach spaces. Ann. Probab. 22 1679-1706.
-
(1994)
Ann. Probab.
, vol.22
, pp. 1679-1706
-
-
Pinelis, I.1
-
36
-
-
0001508060
-
Estimates of moments of sums of independent random variables
-
PINELIS, I. F. and UTEV, S. A. (1984). Estimates of moments of sums of independent random variables. Theory Probab. Appl. 29 574-577.
-
(1984)
Theory Probab. Appl.
, vol.29
, pp. 574-577
-
-
Pinelis, I.F.1
Utev, S.A.2
-
37
-
-
51249187914
-
p (p > 2) spanned by sequences of independent random variables
-
p (p > 2) spanned by sequences of independent random variables. Israel J. Math. 8 273-303.
-
(1970)
Israel J. Math.
, vol.8
, pp. 273-303
-
-
Rosenthal, H.P.1
-
38
-
-
0003573386
-
Combinatorial methods in discrete mathematics
-
SACHKOV, V. N. (1996). Combinatorial methods in discrete mathematics. Encyclopedia Math. Appl. 55.
-
(1996)
Encyclopedia Math. Appl.
, vol.55
-
-
Sachkov, V.N.1
-
39
-
-
0009998830
-
On the estimation of moments of sums of independent random variables
-
SAZONOV, V. V. (1974). On the estimation of moments of sums of independent random variables. Theory Probab. Appl. 19 371-374.
-
(1974)
Theory Probab. Appl.
, vol.19
, pp. 371-374
-
-
Sazonov, V.V.1
-
42
-
-
0000228838
-
Isoperimetry and integrability of the sum of independent Banach-space valued random variables
-
TALAGRAND, M. (1989). Isoperimetry and integrability of the sum of independent Banach-space valued random variables. Ann. Probab. 17 1546-1570.
-
(1989)
Ann. Probab.
, vol.17
, pp. 1546-1570
-
-
Talagrand, M.1
-
44
-
-
0012930683
-
Sharp inequalities for the conditional square function of a martingale
-
WANG, G. (1991a). Sharp inequalities for the conditional square function of a martingale. Ann. Probab. 19 1679-1688.
-
(1991)
Ann. Probab.
, vol.19
, pp. 1679-1688
-
-
Wang, G.1
-
45
-
-
84966248196
-
Sharp square-function inequalities for conditionally symmetric martingales
-
WANG, G. (1991b). Sharp square-function inequalities for conditionally symmetric martingales. Trans. Amer. Math. Soc. 328 393-419.
-
(1991)
Trans. Amer. Math. Soc.
, vol.328
, pp. 393-419
-
-
Wang, G.1
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