# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 94 Publications since 1978, including 4 Books
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#### Co-Authors

 77 single-authored 3 Bryc, Włodzimierz 3 Jurek, Zbigniew J. 2 Janson, Svante 2 Peligrad, Magda 1 Berbee, H. C. P. 1 Berkes, István 1 Dehling, Herold G. 1 Pruss, Alexander R. 1 Tichy, Robert Franz 1 Tone, Cristina 1 Tran, Lanh Tat 1 Utev, S. A.
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#### Serials

 7 Rocky Mountain Journal of Mathematics 7 Statistics & Probability Letters 7 Journal of Theoretical Probability 7 Stochastic Processes and their Applications 5 Journal of Multivariate Analysis 4 The Annals of Probability 3 Stochastics 3 Proceedings of the American Mathematical Society 3 Bernoulli 2 Houston Journal of Mathematics 2 Acta Scientiarum Mathematicarum 2 Journal of Applied Probability 2 Pacific Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Probability Theory and Related Fields 1 American Mathematical Monthly 1 Discrete Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Combinatorial Theory. Series B 1 Journal of Graph Theory 1 Journal of Statistical Planning and Inference 1 Michigan Mathematical Journal 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 New Zealand Journal of Mathematics 1 Journal of Mathematical Sciences (New York) 1 Journal of the Australian Mathematical Society 1 Stochastics and Dynamics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Probability Surveys
all top 5

#### Fields

 85 Probability theory and stochastic processes (60-XX) 6 Statistics (62-XX) 3 Combinatorics (05-XX) 2 Measure and integration (28-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Functional analysis (46-XX)

#### Citations contained in zbMATH

74 Publications have been cited 975 times in 729 Documents Cited by Year
Basic properties of strong mixing conditions. A survey and some open questions. Zbl 1189.60077
2005
Introduction to strong mixing conditions. Vol. 3. Zbl 1134.60004
2007
On the spectral density and asymptotic normality of weakly dependent random fields. Zbl 0787.60059
1992
Introduction to strong mixing conditions. Vol. 1. Zbl 1133.60001
2007
Basic properties of strong mixing conditions. Zbl 0603.60034
1986
Approximation theorems for strongly mixing random variables. Zbl 0531.60033
1983
Multilinear forms and measures of dependence between random variables. Zbl 0586.62086
1985
Equivalent mixing conditions for random fields. Zbl 0793.60053
1993
A central limit theorem for stationary $$\rho$$-mixing sequences with infinite variance. Zbl 0643.60018
1988
Central limit theorems under weak dependence. Zbl 0453.60028
1981
A caution on mixing conditions for random fields. Zbl 0697.60054
1989
Introduction to strong mixing conditions. Vol. 2. Zbl 1133.60002
2007
On the central limit question under absolute regularity. Zbl 0582.60047
1985
On the psi-mixing condition for stationary random sequences. Zbl 0514.60041
1983
A stationary pairwise independent absolutely regular sequence for which the central limit theorem fails. Zbl 0649.60017
1989
On the $$\varphi$$-mixing condition for stationary random sequences. Zbl 0442.60035
1980
Asymptotic normality of some kernel-type estimators of probability density. Zbl 0521.62032
1983
On quantiles and the central limit question for strongly mixing sequences. Zbl 0887.60028
1997
Absolute regularity and functions of Markov chains. Zbl 0491.60028
1983
A sufficient condition for linear growth of variances in a stationary random sequence. Zbl 0476.60037
1981
On second-order properties of mixing random sequences and random fields. Zbl 0852.60053
Bradley, R. C.; Utev, S. A.
1994
A remark on the central limit question for dependent random variables. Zbl 0424.60025
1980
Every “lower psi-mixing” Markov chain is “interlaced rho-mixing”. Zbl 0948.60064
1997
Information regularity and the central limit question. Zbl 0521.60039
1983
Density estimation for nonisotropic random fields. Zbl 0954.62112
Bradley, Richard C.; Tran, Lanh T.
1999
Equivalent measures of dependence. Zbl 0508.60004
1983
A stationary rho-mixing Markov chain which is not “interlaced” rho-mixing. Zbl 0995.60066
2001
Some examples of mixing random fields. Zbl 0793.60054
1993
On positive spectral density functions. Zbl 1004.60054
2002
On a theorem of K. Schmidt. Zbl 0842.60036
1995
On some results of M. I. Gordin: A clarification of a misunderstanding. Zbl 0645.60024
1988
On dominations between measures of dependence. Zbl 0627.60009
Bradley, Richard C.; Bryc, Wlodzimierz; Janson, Svante
1987
A limitation of Markov representation for stationary processes. Zbl 0545.60041
Berbee, H. C. P.; Bradley, R. C.
1984
On a stationary, triple-wise independent, absolutely regular counterexample to the central limit theorem. Zbl 1136.60015
2007
A covariance inequality under a two-part dependence assumption. Zbl 0877.62052
1996
On regularity conditions for random fields. Zbl 0802.60047
1994
A bilaterally deterministic $$\rho$$-mixing stationary random sequence. Zbl 0595.60040
1986
On a very weak Bernoulli condition. Zbl 0538.60036
1984
On the strong mixing and weak Bernoulli conditions. Zbl 0396.60038
1980
A central limit theorem for non-stationary strongly mixing random fields. Zbl 1370.60040
2017
Belief revision generalized: a joint characterization of Bayes’ and Jeffrey’s rules. Zbl 1369.91041
Dietrich, Franz; List, Christian; Bradley, Richard
2016
A strictly stationary, “causal”, 5-tuplewise independent counterexample to the central limit theorem. Zbl 1276.60042
2010
A strictly stationary, $$N$$-tuplewise independent counterexample to the central limit theorem. Zbl 1175.60016
Bradley, Richard C.; Pruss, Alexander R.
2009
A criterion for a continuous spectral density. Zbl 1025.60025
2003
The central limit question under $$\rho$$-mixing. Zbl 0633.60031
1987
Remarks on the foundations of measures of dependence. Zbl 0619.60011
Bradley, Richard C.; Bryc, Włodzimierz; Janson, Svante
1987
Invariance principles under a two-part mixing assumption. Zbl 0609.60048
1986
Counterexamples to the central limit theorem under strong mixing conditions. Zbl 0584.60036
1984
The strong mixing and the selfdecomposability properties. Zbl 1302.60018
Bradley, Richard C.; Jurek, Zbigniew J.
2014
A note on two measures of dependence. Zbl 1227.60026
2011
On the dependence coefficients associated with three mixing conditions for random fields. Zbl 1217.60039
2010
An $$L^p$$ ‘cousin of coboundary’ theorem for random fields. Zbl 1153.60348
2008
On the central limit question under $$\rho$$-mixing and information regularity. Zbl 1024.60010
2002
Two inequalities and some applications in connection with $$\rho^*$$-mixing, a survey. Zbl 0940.60026
1999
A “coboundary” theorem for sums of random variables taking their values in a Banach space. Zbl 0868.60035
1997
A “multiplicative coboundary” theorem for some sequences of random matrices. Zbl 0870.60028
1996
On the dissipation of partial sums from a stationary strongly mixing sequence. Zbl 0815.60031
1994
On $$\rho$$-mixing except on small sets. Zbl 0733.60059
1990
On a theorem of Gordin. Zbl 0657.60056
1988
Corrections to “The central limit question under $$\rho$$-mixing”. Zbl 0646.60027
1987
Some mixing properties of Tukey’s 3R smoother. Zbl 0532.60030
1984
Learning from others: conditioning versus averaging. Zbl 1403.91294
2018
Counterfactual desirability. Zbl 1400.03017
2017
On mixing properties of some INAR models. Zbl 1358.60053
2016
On mixing properties of reversible Markov chains. Zbl 1333.60157
2015
On a central limit theorem for shrunken weakly dependent random variables. Zbl 1330.60043
Bradley, Richard C.; Jurek, Zbigniew J.
2015
On possible mixing rates for some strong mixing conditions for $$N$$-tuplewise independent random fields. Zbl 1274.60160
2012
On the number of colorings of a snark minus an edge. Zbl 1092.05022
2006
Tightness bounds for strongly mixing random sequences. Zbl 0947.60031
2000
On tightness of partial sums from strictly stationary, absolutely regular sequences of $$B$$-valued random variables. Zbl 0945.60029
1999
On the growth of variances in a central limit theorem for strongly mixing sequences. Zbl 0921.60024
1999
Identical mixing rates. Zbl 0591.60035
1987
A note on a mixing condition. Zbl 0444.60032
1980
A remark on noncolorable cubic graphs. Zbl 0385.05034
1978
Learning from others: conditioning versus averaging. Zbl 1403.91294
2018
A central limit theorem for non-stationary strongly mixing random fields. Zbl 1370.60040
2017
Counterfactual desirability. Zbl 1400.03017
2017
Belief revision generalized: a joint characterization of Bayes’ and Jeffrey’s rules. Zbl 1369.91041
Dietrich, Franz; List, Christian; Bradley, Richard
2016
On mixing properties of some INAR models. Zbl 1358.60053
2016
On mixing properties of reversible Markov chains. Zbl 1333.60157
2015
On a central limit theorem for shrunken weakly dependent random variables. Zbl 1330.60043
Bradley, Richard C.; Jurek, Zbigniew J.
2015
The strong mixing and the selfdecomposability properties. Zbl 1302.60018
Bradley, Richard C.; Jurek, Zbigniew J.
2014
On possible mixing rates for some strong mixing conditions for $$N$$-tuplewise independent random fields. Zbl 1274.60160
2012
A note on two measures of dependence. Zbl 1227.60026
2011
A strictly stationary, “causal”, 5-tuplewise independent counterexample to the central limit theorem. Zbl 1276.60042
2010
On the dependence coefficients associated with three mixing conditions for random fields. Zbl 1217.60039
2010
A strictly stationary, $$N$$-tuplewise independent counterexample to the central limit theorem. Zbl 1175.60016
Bradley, Richard C.; Pruss, Alexander R.
2009
An $$L^p$$ ‘cousin of coboundary’ theorem for random fields. Zbl 1153.60348
2008
Introduction to strong mixing conditions. Vol. 3. Zbl 1134.60004
2007
Introduction to strong mixing conditions. Vol. 1. Zbl 1133.60001
2007
Introduction to strong mixing conditions. Vol. 2. Zbl 1133.60002
2007
On a stationary, triple-wise independent, absolutely regular counterexample to the central limit theorem. Zbl 1136.60015
2007
On the number of colorings of a snark minus an edge. Zbl 1092.05022
2006
Basic properties of strong mixing conditions. A survey and some open questions. Zbl 1189.60077
2005
A criterion for a continuous spectral density. Zbl 1025.60025
2003
On positive spectral density functions. Zbl 1004.60054
2002
On the central limit question under $$\rho$$-mixing and information regularity. Zbl 1024.60010
2002
A stationary rho-mixing Markov chain which is not “interlaced” rho-mixing. Zbl 0995.60066
2001
Tightness bounds for strongly mixing random sequences. Zbl 0947.60031
2000
Density estimation for nonisotropic random fields. Zbl 0954.62112
Bradley, Richard C.; Tran, Lanh T.
1999
Two inequalities and some applications in connection with $$\rho^*$$-mixing, a survey. Zbl 0940.60026
1999
On tightness of partial sums from strictly stationary, absolutely regular sequences of $$B$$-valued random variables. Zbl 0945.60029
1999
On the growth of variances in a central limit theorem for strongly mixing sequences. Zbl 0921.60024
1999
On quantiles and the central limit question for strongly mixing sequences. Zbl 0887.60028
1997
Every “lower psi-mixing” Markov chain is “interlaced rho-mixing”. Zbl 0948.60064
1997
A “coboundary” theorem for sums of random variables taking their values in a Banach space. Zbl 0868.60035
1997
A covariance inequality under a two-part dependence assumption. Zbl 0877.62052
1996
A “multiplicative coboundary” theorem for some sequences of random matrices. Zbl 0870.60028
1996
On a theorem of K. Schmidt. Zbl 0842.60036
1995
On second-order properties of mixing random sequences and random fields. Zbl 0852.60053
Bradley, R. C.; Utev, S. A.
1994
On regularity conditions for random fields. Zbl 0802.60047
1994
On the dissipation of partial sums from a stationary strongly mixing sequence. Zbl 0815.60031
1994
Equivalent mixing conditions for random fields. Zbl 0793.60053
1993
Some examples of mixing random fields. Zbl 0793.60054
1993
On the spectral density and asymptotic normality of weakly dependent random fields. Zbl 0787.60059
1992
On $$\rho$$-mixing except on small sets. Zbl 0733.60059
1990
A caution on mixing conditions for random fields. Zbl 0697.60054
1989
A stationary pairwise independent absolutely regular sequence for which the central limit theorem fails. Zbl 0649.60017
1989
A central limit theorem for stationary $$\rho$$-mixing sequences with infinite variance. Zbl 0643.60018
1988
On some results of M. I. Gordin: A clarification of a misunderstanding. Zbl 0645.60024
1988
On a theorem of Gordin. Zbl 0657.60056
1988
On dominations between measures of dependence. Zbl 0627.60009
Bradley, Richard C.; Bryc, Wlodzimierz; Janson, Svante
1987
The central limit question under $$\rho$$-mixing. Zbl 0633.60031
1987
Remarks on the foundations of measures of dependence. Zbl 0619.60011
Bradley, Richard C.; Bryc, Włodzimierz; Janson, Svante
1987
Corrections to “The central limit question under $$\rho$$-mixing”. Zbl 0646.60027
1987
Identical mixing rates. Zbl 0591.60035
1987
Basic properties of strong mixing conditions. Zbl 0603.60034
1986
A bilaterally deterministic $$\rho$$-mixing stationary random sequence. Zbl 0595.60040
1986
Invariance principles under a two-part mixing assumption. Zbl 0609.60048
1986
Multilinear forms and measures of dependence between random variables. Zbl 0586.62086
1985
On the central limit question under absolute regularity. Zbl 0582.60047
1985
A limitation of Markov representation for stationary processes. Zbl 0545.60041
Berbee, H. C. P.; Bradley, R. C.
1984
On a very weak Bernoulli condition. Zbl 0538.60036
1984
Counterexamples to the central limit theorem under strong mixing conditions. Zbl 0584.60036
1984
Some mixing properties of Tukey’s 3R smoother. Zbl 0532.60030
1984
Approximation theorems for strongly mixing random variables. Zbl 0531.60033
1983
On the psi-mixing condition for stationary random sequences. Zbl 0514.60041
1983
Asymptotic normality of some kernel-type estimators of probability density. Zbl 0521.62032
1983
Absolute regularity and functions of Markov chains. Zbl 0491.60028
1983
Information regularity and the central limit question. Zbl 0521.60039
1983
Equivalent measures of dependence. Zbl 0508.60004
1983
Central limit theorems under weak dependence. Zbl 0453.60028
1981
A sufficient condition for linear growth of variances in a stationary random sequence. Zbl 0476.60037
1981
On the $$\varphi$$-mixing condition for stationary random sequences. Zbl 0442.60035
1980
A remark on the central limit question for dependent random variables. Zbl 0424.60025
1980
On the strong mixing and weak Bernoulli conditions. Zbl 0396.60038
1980
A note on a mixing condition. Zbl 0444.60032
1980
A remark on noncolorable cubic graphs. Zbl 0385.05034
1978
all top 5

#### Cited by 853 Authors

 39 Bradley, Richard C. jun. 38 Peligrad, Magda 15 Merlevède, Florence 13 Wang, Xuejun 11 Kifer, Yuri 10 Dedecker, Jérôme 10 Szewczak, Zbigniew Stanisław 10 Tran, Lanh Tat 9 Denker, Manfred 9 Hu, Shuhe 9 Ould-Saïd, Elias 8 Wendler, Martin 8 Zähle, Henryk 7 Berkes, István 7 Bryc, Włodzimierz 7 Doukhan, Paul 7 Lahiri, Soumendra Nath 7 Wu, Wei Biao 7 Wu, Yi 6 Dehling, Herold G. 6 Leonenko, Nikolai N. 6 Longla, Martial 6 Tone, Cristina 6 Volný, Dalibor 6 Wu, Qunying 5 Hörmann, Siegfried 5 Horváth, Lajos 5 Krebs, Johannes T. N. 5 Lin, Zhengyan 5 Pešta, Michal 5 Steif, Jeffrey E. 5 Steinwart, Ingo 5 Sung, Soohak 5 Utev, Sergey 5 Zhang, Li-Xin 4 Aoshima, Makoto 4 Bouzebda, Salim 4 Brodsky, Boris 4 Burton, Robert M. jun. 4 Chen, Xiaohong 4 Hafouta, Yeor 4 Jakubowski, Adam 4 Jiang, Yuanying 4 Lee, Sangyeol 4 Lin, Jinguan 4 Lu, Zudi 4 Masry, Elias 4 Neumann, Michael H. 4 Politis, Dimitris Nicolas 4 Prieur, Clémentine 4 Rio, Emmanuel 4 Shao, Qi-Man 4 Shen, Aiting 4 Soulier, Philippe 4 Wang, Yizao 4 Yang, Wenzhi 4 Yata, Kazuyoshi 4 Zhou, Xingcai 3 Aaronson, Jon 3 Bücher, Axel 3 Carbon, Michel 3 Chesneau, Christophe 3 Dembińska, Anna 3 Didi, Sultana 3 Durieu, Olivier 3 Hang, Hanyuan 3 Heinrich, Lothar 3 Ho, Hwai-Chung 3 Huang, Haiwu 3 Janson, Svante 3 Jenish, Nazgul 3 Jurek, Zbigniew J. 3 Keller, Gerhard 3 Kesseböhmer, Marc 3 Kontorovich, Leonid Aryeh 3 Kuczmaszewska, Anna 3 Laksaci, Ali 3 Li, Linyuan 3 Li, Xiaoqin 3 Lin, Lu 3 Miller, Curtis P. 3 Moon, Hee-Jin 3 Nobel, Andrew B. 3 Nordman, Daniel J. 3 Quintela-Del-Río, Alejandro 3 Robert, Christian Yann 3 Sancetta, Alessio 3 Schindler, Tanja I. 3 Sharipov, Olimjon Sh. 3 Shen, Yan 3 Shestakov, O. V. 3 Sikorskii, Alla 3 Tjøstheim, Dag B. 3 Truquet, Lionel 3 Zhang, Na 2 Aneiros-Pérez, Germán 2 Aue, Alexander 2 Bai, Shuyang 2 Basrak, Bojan 2 Beare, Brendan K. ...and 753 more Authors
all top 5

#### Cited in 156 Serials

 71 Statistics & Probability Letters 63 Stochastic Processes and their Applications 42 Journal of Multivariate Analysis 28 Journal of Statistical Planning and Inference 27 Journal of Theoretical Probability 22 The Annals of Statistics 22 Bernoulli 21 The Annals of Probability 20 Probability Theory and Related Fields 20 Communications in Statistics. Theory and Methods 16 Journal of Nonparametric Statistics 15 Journal of Econometrics 11 Electronic Journal of Statistics 10 Journal of Inequalities and Applications 9 Statistical Inference for Stochastic Processes 8 Journal of Mathematical Analysis and Applications 8 Rocky Mountain Journal of Mathematics 8 Transactions of the American Mathematical Society 8 Statistics 8 Econometric Theory 8 Stochastics and Dynamics 7 Annals of the Institute of Statistical Mathematics 7 Journal of Time Series Analysis 7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Lithuanian Mathematical Journal 6 Journal of Applied Probability 6 The Annals of Applied Probability 6 Statistical Papers 6 Extremes 5 Journal of Statistical Physics 5 Metrika 5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 Stochastic Analysis and Applications 5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 5 Discrete Dynamics in Nature and Society 4 Advances in Applied Probability 4 Israel Journal of Mathematics 4 Advances in Mathematics 4 Proceedings of the American Mathematical Society 3 Scandinavian Journal of Statistics 3 Stochastics 3 Theory and Decision 3 Moscow University Computational Mathematics and Cybernetics 3 Acta Mathematica Hungarica 3 Sequential Analysis 3 Journal of Statistical Computation and Simulation 3 Computational Statistics and Data Analysis 3 Test 3 Mathematical Methods of Statistics 3 Journal of Mathematical Sciences (New York) 3 Electronic Communications in Probability 3 Acta Mathematica Sinica. English Series 3 Methodology and Computing in Applied Probability 3 Quantitative Finance 3 Stochastics 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 The Canadian Journal of Statistics 2 Communications in Mathematical Physics 2 Mathematical Notes 2 Nonlinearity 2 Periodica Mathematica Hungarica 2 Psychometrika 2 Automatica 2 Journal of Computational and Applied Mathematics 2 Journal of Number Theory 2 Monatshefte für Mathematik 2 Siberian Mathematical Journal 2 Queueing Systems 2 Science in China. Series A 2 Random Structures & Algorithms 2 Neural Computation 2 Computational Statistics 2 Communications in Statistics. Simulation and Computation 2 European Journal of Operational Research 2 Applied Mathematics. Series B (English Edition) 2 Abstract and Applied Analysis 2 Dynamical Systems 2 Stochastic Models 2 Journal of Machine Learning Research (JMLR) 2 Journal of the Korean Statistical Society 2 Journal of Mathematical Inequalities 2 Journal of Statistical Theory and Practice 2 AStA. Advances in Statistical Analysis 2 Probability Surveys 2 Sankhyā. Series A 2 Sankhyā. Series B 2 ISRN Probability and Statistics 1 Discrete Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of the Franklin Institute 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Ukrainian Mathematical Journal 1 Theory of Probability and its Applications 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Computation 1 Demonstratio Mathematica 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Information Sciences ...and 56 more Serials
all top 5

#### Cited in 37 Fields

 501 Probability theory and stochastic processes (60-XX) 364 Statistics (62-XX) 49 Dynamical systems and ergodic theory (37-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 28 Numerical analysis (65-XX) 20 Measure and integration (28-XX) 14 Number theory (11-XX) 14 Computer science (68-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Operations research, mathematical programming (90-XX) 8 Combinatorics (05-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Biology and other natural sciences (92-XX) 6 Systems theory; control (93-XX) 6 Information and communication theory, circuits (94-XX) 5 Functional analysis (46-XX) 4 Real functions (26-XX) 4 Ordinary differential equations (34-XX) 4 Operator theory (47-XX) 4 General topology (54-XX) 3 Partial differential equations (35-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX)

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