-
2
-
-
0002641260
-
Approximation theorems for independent and weakly dependent random vectors
-
I. Berkes and W. Philipp, Approximation theorems for independent and weakly dependent random vectors, Ann. Probab., 7 (1979), pp. 29-54.
-
(1979)
Ann. Probab.
, vol.7
, pp. 29-54
-
-
Berkes, I.1
Philipp, W.2
-
3
-
-
0000720834
-
On the rate of convergence for the invariance principle
-
A.A. Borovkov, On the rate of convergence for the invariance principle, Theory Probab. Appl., 18 (1973), pp. 207-225.
-
(1973)
Theory Probab. Appl.
, vol.18
, pp. 207-225
-
-
Borovkov, A.A.1
-
4
-
-
34250407340
-
A new method to prove Strassen type laws of invariance principle I. II
-
M. Csörgö and P. Révész, A new method to prove Strassen type laws of invariance principle I. II, Z. Wahrsch. Verw. Gebiete, 31 (1975), pp. 255-259; 261-269.
-
(1975)
Z. Wahrsch. Verw. Gebiete
, vol.31
, pp. 255-259
-
-
Csörgö, M.1
Révész, P.2
-
6
-
-
84985559957
-
The Komlós-Major-Tusnády approximations and their applications
-
S. Csörgö and P. Hall, The Komlós-Major-Tusnády approximations and their applications, Austral. J. Statist., 26 (1984), pp. 189-218.
-
(1984)
Austral. J. Statist.
, vol.26
, pp. 189-218
-
-
Csörgö, S.1
Hall, P.2
-
7
-
-
0001922084
-
A useful estimate in the multidimensional invariance principle
-
U. Einmahl, A useful estimate in the multidimensional invariance principle, Probab. Theory Related Fields, 76 (1987), pp. 81-101.
-
(1987)
Probab. Theory Related Fields
, vol.76
, pp. 81-101
-
-
Einmahl, U.1
-
8
-
-
0001422577
-
Strong invariance principles for partial sums of independent random vectors
-
U. Einmahl, Strong invariance principles for partial sums of independent random vectors, Ann. Probab., 15 (1987), pp. 1419-1440.
-
(1987)
Ann. Probab.
, vol.15
, pp. 1419-1440
-
-
Einmahl, U.1
-
9
-
-
0002431534
-
Extensions of results of Komlós Major and Tusnády to the multivariate case
-
U. Einmahl, Extensions of results of Komlós, Major and Tusnády to the multivariate case, J. Multivariate Anal., 28 (1989), pp. 20-68.
-
(1989)
J. Multivariate Anal.
, vol.28
, pp. 20-68
-
-
Einmahl, U.1
-
10
-
-
0003745959
-
-
Springer-Verlag, Berlin, New York
-
I.I. Gikhman and A.V. Skorokhod, Theory of Stochastic Processes, vol. 1, Springer-Verlag, Berlin, New York, 1974.
-
(1974)
Theory of Stochastic Processes
, vol.1
-
-
Gikhman, I.I.1
Skorokhod, A.V.2
-
12
-
-
0000411204
-
An approximation of partial sums of independent RV's and the sample DF. I; II
-
J. Komlós, P. Major, and G. Tusnády, An approximation of partial sums of independent RV's and the sample DF. I; II, Z. Wahrsch. Verw. Gebiete, 32 (1975), pp. 111-131; 34 (1976), pp. 33-58.
-
(1975)
Z. Wahrsch. Verw. Gebiete
, vol.32
, pp. 111-131
-
-
Komlós, J.1
Major, P.2
Tusnády, G.3
-
13
-
-
34250393026
-
-
J. Komlós, P. Major, and G. Tusnády, An approximation of partial sums of independent RV's and the sample DF. I; II, Z. Wahrsch. Verw. Gebiete, 32 (1975), pp. 111-131; 34 (1976), pp. 33-58.
-
(1976)
Z. Wahrsch. Verw. Gebiete
, vol.34
, pp. 33-58
-
-
-
14
-
-
0000602555
-
Strong approximation for multivariate empirical and related processes, via KMT construction
-
P. Massart, Strong approximation for multivariate empirical and related processes, via KMT construction, Ann. Probab., 17 (1989), pp. 266-291.
-
(1989)
Ann. Probab.
, vol.17
, pp. 266-291
-
-
Massart, P.1
-
15
-
-
0000533782
-
Almost sure invariance principles for sums of B-valued random variables
-
in Probability in Banach Spaces II, Springer-Verlag, Berlin, 1979
-
W. Philipp, Almost sure invariance principles for sums of B-valued random variables, in Probability in Banach Spaces II, Lecture Notes in Math. 709, Springer-Verlag, Berlin, 1979, pp. 171-193.
-
(1979)
Lecture Notes in Math.
, vol.709
, pp. 171-193
-
-
Philipp, W.1
-
16
-
-
0000033355
-
Convergence of random processes and limit theorems in probability theory
-
Yu.V. Prokhorov, Convergence of random processes and limit theorems in probability theory, Theory Probab. Appl., 1 (1956), pp. 157-214.
-
(1956)
Theory Probab. Appl.
, vol.1
, pp. 157-214
-
-
Prokhorov, Yu.V.1
-
17
-
-
0000301907
-
Remarks on a multivariate transformation
-
M. Rosenblatt, Remarks on a multivariate transformation, Ann. Math. Statist., 23 (1952), pp. 470-472.
-
(1952)
Ann. Math. Statist.
, vol.23
, pp. 470-472
-
-
Rosenblatt, M.1
-
18
-
-
0000921988
-
Probability of large deviations of random vectors
-
R. Rudskis, Probability of large deviations of random vectors, Lithuanian Math. J., 2 (1983), pp. 113-120.
-
(1983)
Lithuanian Math. J.
, vol.2
, pp. 113-120
-
-
Rudskis, R.1
-
19
-
-
0002754410
-
Convergence rate in the invariance principle for nonidentically distributed variables with exponential moments
-
in Advances in Probability Theory: Limit Theorems for Sums of Random Variables, Optimization Software, New York
-
A.I. Sakhanenko, Convergence rate in the invariance principle for nonidentically distributed variables with exponential moments, in Advances in Probability Theory: Limit Theorems for Sums of Random Variables, Transl. Ser. Math. Engrg., Optimization Software, New York, 1986, pp. 2-73.
-
(1986)
Transl. Ser. Math. Engrg.
, pp. 2-73
-
-
Sakhanenko, A.I.1
-
20
-
-
0000871904
-
Large deviations for random vectors for certain classes of sets I
-
L. Saulis, Large deviations for random vectors for certain classes of sets I, Lithuanian Math. J., 23 (1983), pp. 308-317.
-
(1983)
Lithuanian Math. J.
, vol.23
, pp. 308-317
-
-
Saulis, L.1
-
22
-
-
0002137756
-
Strong approximation theorems for independent random variables and their applications
-
Q.-M. Shao, Strong approximation theorems for independent random variables and their applications, J. Multivariate Anal., 52 (1995), pp. 107-130.
-
(1995)
J. Multivariate Anal.
, vol.52
, pp. 107-130
-
-
Shao, Q.-M.1
-
27
-
-
0000536552
-
Estimates of the Lévy-Prokhorov distance in the multivariate central limit theorem for random variables with finite exponential moments
-
A.Yu. Zaitsev, Estimates of the Lévy-Prokhorov distance in the multivariate central limit theorem for random variables with finite exponential moments, Theory Probab. Appl., 31 (1986), pp. 203-220.
-
(1986)
Theory Probab. Appl.
, vol.31
, pp. 203-220
-
-
Zaitsev, A.Yu.1
-
28
-
-
34250101807
-
On the Gaussian approximation of convolutions under multidimensional analogues of S.N. Bernstein inequality conditions
-
A.Yu. Zaitsev, On the Gaussian approximation of convolutions under multidimensional analogues of S.N. Bernstein inequality conditions, Probab. Theory Related Fields, 74 (1987), pp. 535-566.
-
(1987)
Probab. Theory Related Fields
, vol.74
, pp. 535-566
-
-
Zaitsev, A.Yu.1
-
29
-
-
0001407493
-
On a relation between two classes of probability distributions
-
Rings and Modulus. Leningrad University, Leningrad, Russia, in Russian
-
A.Yu. Zaitsev, On a relation between two classes of probability distributions, in Rings and Modulus. Limit Theorems of Probability Theory, vol. 2, Leningrad University, Leningrad, Russia, 1988, pp. 153-158 (in Russian).
-
(1988)
Limit Theorems of Probability Theory
, vol.2
, pp. 153-158
-
-
Zaitsev, A.Yu.1
-
30
-
-
84996143460
-
Multidimensional version of the results of Komlós, Major and Tusnády for vectors with finite exponential moments
-
electronic
-
A.Yu. Zaitsev, Multidimensional version of the results of Komlós, Major and Tusnády for vectors with finite exponential moments, ESAIM Probab. Statist., 2 (1998), pp. 41-108 (electronic).
-
(1998)
ESAIM Probab. Statist.
, vol.2
, pp. 41-108
-
-
Zaitsev, A.Yu.1
-
31
-
-
21444441154
-
Estimates for the quantiles of smooth conditional distributions and the multidimensional invariance principle
-
A.Yu. Zaitsev, Estimates for the quantiles of smooth conditional distributions and the multidimensional invariance principle, Siberian Math. J., 37 (1996), pp. 706-729.
-
(1996)
Siberian Math. J.
, vol.37
, pp. 706-729
-
-
Zaitsev, A.Yu.1
-
32
-
-
84996143460
-
Multidimensional version of the results of Komlós, Major and Tusnády for vectors with finite exponential moments
-
A.Yu. Zaitsev, Multidimensional version of the results of Komlós, Major and Tusnády for vectors with finite exponential moments, ESAIM Probab. Statist., 2 (1998), pp. 41-108.
-
(1998)
ESAIM Probab. Statist.
, vol.2
, pp. 41-108
-
-
Zaitsev, A.Yu.1
|