-
3
-
-
0000982196
-
Estimation des densités: Risque minimax
-
MR0523165
-
BRETAGNOLLE, J. and HUBER, C. (1979). Estimation des densités: Risque minimax. Z. Wahrsch. Verw. Gebiete 47 119-137. MR0523165
-
(1979)
Z. Wahrsch. Verw. Gebiete
, vol.47
, pp. 119-137
-
-
Bretagnolle, J.1
Huber, C.2
-
4
-
-
0002455942
-
Distribution function inequalities for martingales
-
MR0365692
-
BURKHOLDER, D. L. (1973). Distribution function inequalities for martingales. Ann. Probab. 1 19- 42. MR0365692
-
(1973)
Ann. Probab.
, vol.1
-
-
Burkholder, D.L.1
-
5
-
-
0004139731
-
Decoupling: From Dependence to Independence, Randomly Stopped Processes
-
Springer, New York. MR1666908
-
DE LA PEÑA, V. H. and GINÉ, E. (1999). Decoupling: From Dependence to Independence, Randomly Stopped Processes. U-Statistics and Processes. Martingales and Beyond. Springer, New York. MR1666908
-
(1999)
U-Statistics and Processes. Martingales and Beyond
-
-
De La Peña, V.H.1
Giné, E.2
-
6
-
-
84996131879
-
Exponential inequalities and functional central limit theorems for a random fields
-
(electronic)MR1875665
-
DEDECKER, J. (2001). Exponential inequalities and functional central limit theorems for a random fields. ESAIM Probab. Stat. 5 77-104 (electronic). MR1875665
-
(2001)
ESAIM Probab. Stat.
, vol.5
, pp. 77-104
-
-
Dedecker, J.1
-
7
-
-
67649620085
-
Rates of convergence for minimal distances in the central limit theorem under projective criteria
-
MR2506123
-
DEDECKER, J.,MERLEVÈDE, F. and RIO, E. (2009). Rates of convergence for minimal distances in the central limit theorem under projective criteria. Electron. J. Probab. 14 978-1011. MR2506123
-
(2009)
Electron. J. Probab.
, vol.14
, pp. 978-1011
-
-
Dedecker, J.1
Merlevède, F.2
Rio, E.3
-
8
-
-
79952616269
-
Rates of convergence in the central limit theorem for linear statistics of martingale differences
-
MR2775105
-
DEDECKER, J. and MERLEVÈDE, F. (2011). Rates of convergence in the central limit theorem for linear statistics of martingale differences. Stochastic Process. Appl. 121 1013-1043. MR2775105
-
(2011)
Stochastic Process. Appl.
, vol.121
, pp. 1013-1043
-
-
Dedecker, J.1
Merlevède, F.2
-
9
-
-
26444464815
-
New dependence coefficients.Examples and applications to statistics. Probab
-
MR2199291
-
DEDECKER, J. and PRIEUR, C. (2005). New dependence coefficients. Examples and applications to statistics. Probab. Theory Related Fields 132 203-236. MR2199291
-
(2005)
Theory Related Fields
, vol.132
, pp. 203-236
-
-
Dedecker, J.1
Prieur, C.2
-
10
-
-
33751320958
-
An empirical central limit theorem for dependent sequences
-
MR2287106
-
DEDECKER, J. and PRIEUR, C. (2007). An empirical central limit theorem for dependent sequences. Stochastic Process. Appl. 117 121-142. MR2287106
-
(2007)
Stochastic Process. Appl.
, vol.117
, pp. 121-142
-
-
Dedecker, J.1
Prieur, C.2
-
11
-
-
77953705935
-
Some unbounded functions of intermittent maps for which the central limit theorem holds
-
MR2475605
-
DEDECKER, J. and PRIEUR, C. (2009). Some unbounded functions of intermittent maps for which the central limit theorem holds. ALEA Lat. Am. J. Probab. Math. Stat. 5 29-45. MR2475605
-
(2009)
ALEA Lat. Am. J. Probab. Math. Stat.
, vol.5
, pp. 29-45
-
-
Dedecker, J.1
Prieur, C.2
-
12
-
-
53049105708
-
Weak Dependence: With Examples and Applications
-
Springer, New York. MR2338725
-
DEDECKER, J., DOUKHAN, P., LANG, G., LEÓN, J. R., LOUHICHI, S. and PRIEUR, C. (2007). Weak Dependence: With Examples and Applications. Lecture Notes in Statistics 190. Springer, New York. MR2338725
-
(2007)
Lecture Notes in Statistics
, vol.190
-
-
Dedecker, J.1
Doukhan, P.2
Lang, G.3
León, J.R.4
Louhichi, S.5
Prieur, C.6
-
13
-
-
0002297676
-
The functional central limit theorem for strongly mixing processes
-
MR1262892
-
DOUKHAN, P.,MASSART, P. and RIO, E. (1994). The functional central limit theorem for strongly mixing processes. Ann. Inst. Henri Poincaré Probab. Stat. 30 63-82. MR1262892
-
(1994)
Ann. Inst. Henri Poincaré Probab. Stat.
, vol.30
, pp. 63-82
-
-
Doukhan, P.1
Massart, P.2
Rio, E.3
-
14
-
-
0034395874
-
Stationary ARCH models: Dependence structure and central limit theorem
-
MR1749017
-
GIRAITIS, L.,KOKOSZKA, P. and LEIPUS, R. (2000). Stationary ARCH models: Dependence structure and central limit theorem. Econometric Theory 16 3-22. MR1749017
-
(2000)
Econometric Theory
, vol.16
, pp. 3-22
-
-
Giraitis, L.1
Kokoszka, P.2
Leipus, R.3
-
15
-
-
0000282259
-
The central limit theorem for stationary processe
-
GORDIN, M. I. (1969). The central limit theorem for stationary processe. Soviet. Math. Dokl. 10 1174-1176.
-
(1969)
Soviet. Math. Dokl.
, vol.10
, pp. 1174-1176
-
-
Gordin, M.I.1
-
16
-
-
79951656862
-
On the functional central limit theorem via martingale approximation
-
MR2797997
-
GORDIN, M. and PELIGRAD, M. (2011). On the functional central limit theorem via martingale approximation. Bernoulli 17 424-440. MR2797997
-
(2011)
Bernoulli
, vol.17
, pp. 424-440
-
-
Gordin, M.1
Peligrad, M.2
-
17
-
-
77957077003
-
Almost sure invariance principle for dynamical systems by spectral methods
-
MR2663640
-
GOUËZEL, S. (2010). Almost sure invariance principle for dynamical systems by spectral methods. Ann. Probab. 38 1639-1671. MR2663640
-
(2010)
Ann. Probab.
, vol.38
, pp. 1639-1671
-
-
Gouëzel, S.1
-
19
-
-
0000291602
-
Best constants in martingale version of Rosenthal's inequality
-
MR1071816
-
HITCZENKO, P. (1990). Best constants in martingale version of Rosenthal's inequality. Ann. Probab. 18 1656-1668. MR1071816
-
(1990)
Ann. Probab.
, vol.18
, pp. 1656-1668
-
-
Hitczenko, P.1
-
20
-
-
79960267164
-
A note on a maximal Bernstein inequality
-
KEVEI, P. and MASON, D. M. (2011). A note on a maximal Bernstein inequality. Bernoulli 17 1054-1062.
-
(2011)
Bernoulli
, vol.17
, pp. 1054-1062
-
-
Kevei, P.1
Mason, D.M.2
-
21
-
-
0012098269
-
Semimartingale integrals via decoupling inequalities and tangent processes
-
MR1199772
-
KWAPIÉN, S. and WOYCZÝ NSKI, W. A. (1991). Semimartingale integrals via decoupling inequalities and tangent processes. Probab. Math. Statist. 12 165-200. MR1199772
-
(1991)
Probab. Math. Statist.
, vol.12
, pp. 165-200
-
-
Kwapién, S.1
Woyczýnski, W.A.2
-
22
-
-
80355145379
-
Bernstein inequality and moderate deviations under strong mixing conditions
-
Beachwood, OH
-
MERLEVÈDE, F., PELIGRAD, M. and RIO, E. (2009). Bernstein inequality and moderate deviations under strong mixing conditions. In IMS Collections. High Dimensional Probability V 273-292. Beachwood, OH.
-
(2009)
IMS Collections. High Dimensional Probability
, vol.273-292
-
-
Merlevède, F.1
Peligrad, M.2
Rio, E.3
-
23
-
-
0001368717
-
Moment and probability bounds with quasisuperadditive structure for the maximum partial sum
-
MR0672303
-
MÓRICZ, F. A., SERFLING, R. J. and STOUT, W. F. (1982). Moment and probability bounds with quasisuperadditive structure for the maximum partial sum. Ann. Probab. 10 1032-1040. MR0672303
-
(1982)
Ann. Probab.
, vol.10
, pp. 1032-1040
-
-
Móricz, F.A.1
Serfling, R.J.2
Stout, W.F.3
-
24
-
-
51249174505
-
Convergence rates of the strong law for stationary mixing sequences
-
MR0799152
-
PELIGRAD, M. (1985). Convergence rates of the strong law for stationary mixing sequences. Z. Wahrsch. Verw. Gebiete 70 307-314. MR0799152
-
(1985)
Z. Wahrsch. Verw. Gebiete
, vol.70
, pp. 307-314
-
-
Peligrad, M.1
-
25
-
-
0043247363
-
The r-quick version of the strong law for stationary φ-mixing sequences
-
Columbus, OH, 1988) (G. A. Edgar and L. Sucheston, eds.Academic Press, Boston, MA. MR1035254
-
PELIGRAD, M. (1989). The r-quick version of the strong law for stationary φ-mixing sequences. In Almost Everywhere Convergence (Columbus, OH, 1988) (G. A. Edgar and L. Sucheston, eds.) 335-348. Academic Press, Boston, MA. MR1035254
-
(1989)
Almost Everywhere Convergence
, pp. 335-348
-
-
Peligrad, M.1
-
26
-
-
0033420287
-
Almost-sure results for a class of dependent random variables
-
MR1674972
-
PELIGRAD, M. and GUT, A. (1999). Almost-sure results for a class of dependent random variables. J. Theoret. Probab. 12 87-104. MR1674972
-
(1999)
J. Theoret. Probab.
, vol.12
, pp. 87-104
-
-
Peligrad, M.1
Gut, A.2
-
27
-
-
17044387009
-
A new maximal inequality and invariance principle for stationary sequences
-
MR2123210
-
PELIGRAD, M. and UTEV, S. (2005). A new maximal inequality and invariance principle for stationary sequences. Ann. Probab. 33 798-815. MR2123210
-
(2005)
Ann. Probab.
, vol.33
, pp. 798-815
-
-
Peligrad, M.1
Utev, S.2
-
28
-
-
34547475235
-
A maximal Lp-inequality for stationary sequences and its applications
-
MR2255301,(electronic)
-
PELIGRAD, M.,UTEV, S. andWU, W. B. (2007). A maximal Lp-inequality for stationary sequences and its applications. Proc. Amer. Math. Soc. 135 541-550 (electronic). MR2255301
-
(2007)
Proc. Amer. Math. Soc.
, vol.135
, pp. 541-550
-
-
Peligrad, M.1
Utev, S.2
Wu, W.B.3
-
29
-
-
10644251108
-
Théorie Asymptotique des Processus Aléatoires Faiblement Dépendants
-
Springer, Berlin. MR2117923
-
RIO, E. (2000). Théorie Asymptotique des Processus Aléatoires Faiblement Dépendants. Mathématiques et Applications 31. Springer, Berlin. MR2117923
-
(2000)
Mathématiques et Applications 31
-
-
Rio, E.1
-
30
-
-
58549102501
-
Moment inequalities for sums of dependent random variables under projective conditions
-
MR2472010
-
RIO, E. (2009). Moment inequalities for sums of dependent random variables under projective conditions. J. Theoret. Probab. 22 146-163. MR2472010
-
(2009)
J. Theoret. Probab.
, vol.22
, pp. 146-163
-
-
Rio, E.1
-
31
-
-
0002605356
-
A central limit theorem and a strong mixing condition
-
MR0074711
-
ROSENBLATT, M. (1956). A central limit theorem and a strong mixing condition. Proc. Natl. Acad. Sci. USA 42 43-47. MR0074711
-
(1956)
Proc. Natl. Acad. Sci. USA
, vol.42
, pp. 43-47
-
-
Rosenblatt, M.1
-
32
-
-
51249187914
-
On the subspaces of Lp (p > 2) spanned by sequences of independent random variables
-
MR0271721
-
ROSENTHAL, H. P. (1970). On the subspaces of Lp (p > 2) spanned by sequences of independent random variables. Israel J. Math. 8 273-303. MR0271721
-
(1970)
Israel J. Math.
, vol.8
, pp. 273-303
-
-
Rosenthal, H.P.1
-
33
-
-
0011562740
-
A moment inequality and its applications
-
MR1000416
-
SHAO, Q. M. (1988). A moment inequality and its applications. Acta Math. Sin. 31 736-747. MR1000416
-
(1988)
Acta Math. Sin.
, vol.31
, pp. 736-747
-
-
Shao, Q.M.1
-
34
-
-
0000048010
-
Maximal inequalities for partial sums of φ-mixing sequences
-
MR1334179
-
SHAO, Q. M. (1995). Maximal inequalities for partial sums of φ-mixing sequences. Ann. Probab. 23 948-965. MR1334179
-
(1995)
Ann. Probab.
, vol.23
, pp. 948-965
-
-
Shao, Q.M.1
-
35
-
-
0001943778
-
Sums of random variables with f-mixing
-
MR1128381
-
UTEV, S. A. (1991). Sums of random variables with f-mixing. Siberian Adv. Math. 1 124-155. MR1128381
-
(1991)
Siberian Adv. Math.
, vol.1
, pp. 124-155
-
-
Utev, S.A.1
-
36
-
-
0037273825
-
Maximal inequalities and an invariance principle for a class of weakly dependent random variables
-
MR1956823
-
UTEV, S. and PELIGRAD, M. (2003). Maximal inequalities and an invariance principle for a class of weakly dependent random variables. J. Theoret. Probab. 16 101-115. MR1956823
-
(2003)
J. Theoret. Probab.
, vol.16
, pp. 101-115
-
-
Utev, S.1
Peligrad, M.2
-
37
-
-
0031116516
-
Inequalities for absolutely regular sequences: Application to density estimation
-
MR1440142
-
VIENNET, G. (1997). Inequalities for absolutely regular sequences: Application to density estimation. Probab. Theory Related Fields 107 467-492. MR1440142
-
(1997)
Probab. Theory Related Fields
, vol.107
, pp. 467-492
-
-
Viennet, G.1
-
38
-
-
0000753060
-
Some limit theorems for random functions
-
MR0121856
-
VOLKONSKIǏ , V. A. and ROZANOV, Y. A. (1959). Some limit theorems for random functions. I. Theory Probab. Appl. 4 178-197. MR0121856
-
(1959)
I. Theory Probab. Appl.
, vol.4
, pp. 178-197
-
-
Volkonskiǐ, V.A.1
Rozanov, Y.A.2
-
39
-
-
34547159653
-
An application of Rosenthal's moment inequality to the strong law of large numbers
-
MR0801858
-
WITTMANN, R. (1985). An application of Rosenthal's moment inequality to the strong law of large numbers. Statist. Probab. Lett. 3 131-133. MR0801858
-
(1985)
Statist. Probab. Lett.
, vol.3
, pp. 131-133
-
-
Wittmann, R.1
-
40
-
-
34547951595
-
Strong invariance principles for dependent random variables
-
MR2353389
-
WU, W. B. (2007). Strong invariance principles for dependent random variables. Ann. Probab. 35 2294-2320. MR2353389
-
(2007)
Ann. Probab.
, vol.35
, pp. 2294-2320
-
-
Wu, W.B.1
-
41
-
-
77957756247
-
Kernel estimation for time series: An asymptotic theory
-
MR2728171
-
WU, W. B., HUANG, Y. and HUANG, Y. (2010). Kernel estimation for time series: An asymptotic theory. Stochastic Process. Appl. 120 2412-2431. MR2728171
-
(2010)
Stochastic Process. Appl.
, vol.120
, pp. 2412-2431
-
-
Wu, W.B.1
Huang, Y.2
Huang, Y.3
-
42
-
-
3042646584
-
Martingale approximations for sums of stationary processes
-
MR2060314
-
WU, W. B. and WOODROOFE, M. (2004). Martingale approximations for sums of stationary processes. Ann. Probab. 32 1674-1690. MR2060314
-
(2004)
Ann. Probab.
, vol.32
, pp. 1674-1690
-
-
Wu, W.B.1
Woodroofe, M.2
-
43
-
-
47849123306
-
Moderate deviations for stationary processes
-
MR2411619
-
WU, W. B. and ZHAO, Z. (2008). Moderate deviations for stationary processes. Statist. Sinica 18 769-782. MR2411619
-
(2008)
Statist. Sinica
, vol.18
, pp. 769-782
-
-
Wu, W.B.1
Zhao, Z.2
-
44
-
-
63049090909
-
On martingale approximations
-
MR2462550
-
ZHAO, O. and WOODROOFE, M. (2008). On martingale approximations. Ann. Appl. Probab. 18 1831-1847. MR2462550
-
(2008)
Ann. Appl. Probab.
, vol.18
, pp. 1831-1847
-
-
Zhao, O.1
Woodroofe, M.2
-
45
-
-
0009237026
-
Comparison of martingale difference sequences
-
Medford, Mass., 1984). Lecture Notes in Math.Springer, Berlin. MR0821997
-
ZINN, J. (1985). Comparison of martingale difference sequences. In Probability in Banach Spaces, V (Medford, Mass., 1984). Lecture Notes in Math. 1153 453-457. Springer, Berlin. MR0821997
-
(1985)
Probability in Banach Spaces, V
, vol.1153
, pp. 453-457
-
-
Zinn, J.1
|