-
1
-
-
0000047875
-
Martingale central limit theorems
-
Brown, B.: Martingale central limit theorems. Ann. Math. Stat. 42, 59-66 (1971)
-
(1971)
Ann. Math. Stat
, vol.42
, pp. 59-66
-
-
Brown, B.1
-
2
-
-
0000218322
-
Functional laws of the iterated logarithm for local empirical processes indexed by sets
-
Deheuvels, P., Mason, D.M.: Functional laws of the iterated logarithm for local empirical processes indexed by sets. Ann. Probab. 22, 1619-1661 (1994)
-
(1994)
Ann. Probab
, vol.22
, pp. 1619-1661
-
-
Deheuvels, P.1
Mason, D.M.2
-
3
-
-
8744302145
-
General confidence bounds for nonparametric functional estimators
-
Deheuvels, P., Mason, D.M.: General confidence bounds for nonparametric functional estimators. Stat. Inference Stoch. Process. 7, 225-277 (2004)
-
(2004)
Stat. Inference Stoch. Process
, vol.7
, pp. 225-277
-
-
Deheuvels, P.1
Mason, D.M.2
-
4
-
-
34547168215
-
-
Deheuvels, P., Einmahl, U., Mason, D.M.: Asymptotic independence of the local empirical process indexed by functions. In: High Dimensional Probability, II, Seattle, WA, 1999. Progr. Probab., 47, pp. 183-206. Birkhäuser, Boston (2000)
-
Deheuvels, P., Einmahl, U., Mason, D.M.: Asymptotic independence of the local empirical process indexed by functions. In: High Dimensional Probability, II, Seattle, WA, 1999. Progr. Probab., vol. 47, pp. 183-206. Birkhäuser, Boston (2000)
-
-
-
-
5
-
-
34547145536
-
-
de la Peña, V.H., Giné, E.: Decoupling. From Dependence to Independence. Randomly Stopped Processes. U-Statistics and Processes. Martingales and Beyond. Probability and its Applications. Springer, New York (1999)
-
de la Peña, V.H., Giné, E.: Decoupling. From Dependence to Independence. Randomly Stopped Processes. U-Statistics and Processes. Martingales and Beyond. Probability and its Applications. Springer, New York (1999)
-
-
-
-
7
-
-
0003208010
-
Uniform Central Limit Theorems
-
Cambridge University Press, New York
-
Dudley, R.M.: Uniform Central Limit Theorems. Cambridge Studies in Advanced Mathematics, vol. 63. Cambridge University Press, New York (1999)
-
(1999)
Cambridge Studies in Advanced Mathematics
, vol.63
-
-
Dudley, R.M.1
-
8
-
-
0004057858
-
Linear Operators, Part I
-
Wiley-lnterscience, New York
-
Dunford, N., Schwartz, J.T.: Linear Operators, Part I, 3rd printing. Wiley-lnterscience, New York (1966)
-
(1966)
3rd printing
-
-
Dunford, N.1
Schwartz, J.T.2
-
9
-
-
0040745579
-
Gaussian approximation of local empirical processes indexed by functions
-
Einmahl, U., Mason, D.M. : Gaussian approximation of local empirical processes indexed by functions. Probab. Theory Relat. Fields 107, 283-311 (1997)
-
(1997)
Probab. Theory Relat. Fields
, vol.107
, pp. 283-311
-
-
Einmahl, U.1
Mason, D.M.2
-
10
-
-
34547178593
-
-
Einmahl, U., Mason, D.M.: Strong approximations for local empirical processes. In: High Dimensional Probability, II, Oberwolfach, 1996. Progr. Probab., 43, pp. 75-02. Birkhäuser, Basel (1998)
-
Einmahl, U., Mason, D.M.: Strong approximations for local empirical processes. In: High Dimensional Probability, II, Oberwolfach, 1996. Progr. Probab., vol. 43, pp. 75-02. Birkhäuser, Basel (1998)
-
-
-
-
11
-
-
0034421301
-
An empirical process approach to the uniform consistency of kernel-type function estimators
-
Einmahl, U., Mason, D.M.: An empirical process approach to the uniform consistency of kernel-type function estimators. J. Theor. Probab. 13, 1-37 (2000)
-
(2000)
J. Theor. Probab
, vol.13
, pp. 1-37
-
-
Einmahl, U.1
Mason, D.M.2
-
12
-
-
23744481266
-
Uniform in bandwidth consistency of kernel-type function estimators
-
Einmahl, U., Mason, D.M.: Uniform in bandwidth consistency of kernel-type function estimators. Ann. Stat. 33, 1380-1403 (2005)
-
(2005)
Ann. Stat
, vol.33
, pp. 1380-1403
-
-
Einmahl, U.1
Mason, D.M.2
-
13
-
-
21344494737
-
Estimating densities of functions of observations
-
Frees, W.: Estimating densities of functions of observations. J. Am. Stat. Assoc. 89, 517-525 (1994)
-
(1994)
J. Am. Stat. Assoc
, vol.89
, pp. 517-525
-
-
Frees, W.1
-
14
-
-
0036847557
-
Rates of strong consistency for multivariate kernel density estimators
-
Giné, E., Guillou, A.: Rates of strong consistency for multivariate kernel density estimators. Ann. Inst. H. Poincaré 38, 907-921 (2002)
-
(2002)
Ann. Inst. H. Poincaré
, vol.38
, pp. 907-921
-
-
Giné, E.1
Guillou, A.2
-
15
-
-
33747331097
-
The law of the iterated logarithm for the integrated squared deviation of a kernel density estimator
-
Giné, E., Mason, D.M.: The law of the iterated logarithm for the integrated squared deviation of a kernel density estimator. Bernoulli 10, 721-752 (2004)
-
(2004)
Bernoulli
, vol.10
, pp. 721-752
-
-
Giné, E.1
Mason, D.M.2
-
16
-
-
49749110419
-
-
Giné, E., Mason, D.M.: On local U-statistic processes and the estimation of densities of functions of several sample variables. Ann. Stat. 35(3) (2007, to appear)
-
Giné, E., Mason, D.M.: On local U-statistic processes and the estimation of densities of functions of several sample variables. Ann. Stat. 35(3) (2007, to appear)
-
-
-
-
17
-
-
34547141492
-
-
Giné, E., Latala, R., Zinn, J.: Exponential and moment inequalities for U-statistics. In: High Dimensional Probability, II, Seattle, WA, 1999. Progr. Probab., 47, pp. 13-38. Birkhäuser, Boston (2000)
-
Giné, E., Latala, R., Zinn, J.: Exponential and moment inequalities for U-statistics. In: High Dimensional Probability, II, Seattle, WA, 1999. Progr. Probab., vol. 47, pp. 13-38. Birkhäuser, Boston (2000)
-
-
-
-
19
-
-
0001545384
-
A strong convergence theorem for Banach space valued random variables
-
Kuelbs, J. : A strong convergence theorem for Banach space valued random variables. Ann. Probab. 4, 744-771 (1976)
-
(1976)
Ann. Probab
, vol.4
, pp. 744-771
-
-
Kuelbs, J.1
-
20
-
-
0001440796
-
Characterization of the law of the iterated logarithm in Banach spaces
-
Ledoux, M., Talagrand, M.: Characterization of the law of the iterated logarithm in Banach spaces. Ann. Probab. 16, 1242-1264 (1988)
-
(1988)
Ann. Probab
, vol.16
, pp. 1242-1264
-
-
Ledoux, M.1
Talagrand, M.2
-
21
-
-
0000886320
-
Comparison theorems, random geometry and some limit theorems for empirical processes
-
Ledoux, M., Talagrand, M.: Comparison theorems, random geometry and some limit theorems for empirical processes. Ann. Probab. 17, 596-631 (1989)
-
(1989)
Ann. Probab
, vol.17
, pp. 596-631
-
-
Ledoux, M.1
Talagrand, M.2
-
23
-
-
33749679752
-
An estimate on the supremum of a nice class of stochastic integrals and U-statistics
-
Major, P.: An estimate on the supremum of a nice class of stochastic integrals and U-statistics. Probab. Theory Relat. Fields 134, 489-537 (2006)
-
(2006)
Probab. Theory Relat. Fields
, vol.134
, pp. 489-537
-
-
Major, P.1
-
24
-
-
3042600378
-
A uniform functional law of the logarithm for the local empirical process
-
Mason, D.M.: A uniform functional law of the logarithm for the local empirical process. Ann. Probab. 32, 1391-1418 (2004)
-
(2004)
Ann. Probab
, vol.32
, pp. 1391-1418
-
-
Mason, D.M.1
-
25
-
-
34547200766
-
-
Rost, D.: Limit theorems for smoothed empirical processes. In: High Dimensional Probability, II, Seattle, WA, 1999. Progr. Probab., 47, pp. 107-113. Birkhäuser, Boston (2000)
-
Rost, D.: Limit theorems for smoothed empirical processes. In: High Dimensional Probability, II, Seattle, WA, 1999. Progr. Probab., vol. 47, pp. 107-113. Birkhäuser, Boston (2000)
-
-
-
-
26
-
-
5644288967
-
Root n consistent density estimators for sums of independent random variables
-
Schick, A., Wefelmeyer, W.: Root n consistent density estimators for sums of independent random variables. J. Nonparametr. Stat. 16, 925-935 (2004)
-
(2004)
J. Nonparametr. Stat
, vol.16
, pp. 925-935
-
-
Schick, A.1
Wefelmeyer, W.2
-
28
-
-
0001742955
-
Weak convergence of smoothed empirical processes
-
van der Vaart, A.: Weak convergence of smoothed empirical processes. Scand. J. Stat. 21, 501-504 (1994)
-
(1994)
Scand. J. Stat
, vol.21
, pp. 501-504
-
-
van der Vaart, A.1
-
30
-
-
0001581756
-
Weak convergence of smoothed empirical processes
-
Yukich, J.E.: Weak convergence of smoothed empirical processes. Scand. J. Stat. 19, 271-279 (1992)
-
(1992)
Scand. J. Stat
, vol.19
, pp. 271-279
-
-
Yukich, J.E.1
|