## Dehling, Herold G.

Compute Distance To:
 Author ID: dehling.herold-g Published as: Dehling, Herold; Dehling, H.; Dehling, Herold G.; Dehling, H. G. more...less
 Documents Indexed: 90 Publications since 1981, including 4 Books 3 Contributions as Editor Reviewing Activity: 76 Reviews Co-Authors: 73 Co-Authors with 82 Joint Publications 1,331 Co-Co-Authors
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### Co-Authors

 11 single-authored 10 Burton, Robert M. jun. 9 Philipp, Walter 8 Dabrowski, André Robert 8 Wendler, Martin 7 Berkes, István 7 Taqqu, Murad S. 6 Denker, Manfred 6 Fried, Roland 6 Sharipov, Olimjon Shukurovich 5 Borovkova, Svetlana 4 Durieu, Olivier 4 Mikosch, Thomas 3 Franke, Brice 3 Rooch, Aeneas 3 Vogel, Daniel 3 Wied, Dominik 2 Betken, Annika 2 Glasmachers, Eva 2 Härterich, Jörg M. 2 Haupt, Beate 2 Hoffmann, Alex Christian 2 Kott, Thomas 2 Schnurr, Alexander 2 Tusche, Marco 2 Woerner, Jeannette H. C. 2 Wornowizki, Max 1 Aaronson, Jon 1 Bäuerle, Nicole 1 Borovkov, Konstantin A. 1 Bradley, Richard C. jun. 1 Buchsteiner, Jannis 1 Dedecker, Jérôme 1 Fleurke, S. R. 1 García, Isabel 1 Gilat, David 1 Giraudo, Davide 1 Gottschalk, Timo 1 Hellermann, Klaus 1 Hill, Theodore Preston 1 Kalma, J. N. 1 Kersting, Götz-Dietrich 1 Klenke, Achim 1 Krämer, Walter 1 Kreiß, Jens-Peter 1 Kulperger, Reg J. 1 Külske, Christof 1 Lee, Mei-Ling Ting 1 Matsui, Muneya 1 Moes, C. 1 Móri, Tamás F. 1 Münker, Ines 1 Nüßgen, Ines 1 Peligrad, Magda 1 Pfeifer, Dietmar 1 Renkema, J. 1 Rösler, Uwe 1 Samorodnitsky, Gennady Pinkhosovich 1 Schaafsma, Willem 1 Schmidt, Sara K. 1 Sorensen, Michael 1 Stuut, H. W. 1 Tafakori, Laleh 1 Tichy, Robert Franz 1 Tulleken, Herbert J. A. F. 1 Utev, S. A. 1 Utev, Sergey 1 van Kampen, Maarten 1 van Maanen, Jan A. 1 Venema, Rienk S. 1 Volný, Dalibor 1 Vuk, Kata 1 Weiss, Benjamin 1 Woyczynski, Wojbor A.
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### Serials

 7 Journal of Multivariate Analysis 6 Statistics & Probability Letters 5 Stochastic Processes and their Applications 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Statistical Inference for Stochastic Processes 3 The Annals of Probability 3 Acta Mathematica Hungarica 2 The Canadian Journal of Statistics 2 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 2 Scandinavian Journal of Statistics 2 The Annals of Statistics 2 Studia Scientiarum Mathematicarum Hungarica 2 Transactions of the American Mathematical Society 2 Probability Theory and Related Fields 2 Bernoulli 2 Econometric Theory 2 Nieuw Archief voor Wiskunde. Vijfde Serie 2 Stochastics and Dynamics 2 Electronic Journal of Statistics 1 Journal of Statistical Physics 1 Metrika 1 Biometrika 1 Journal of Statistical Planning and Inference 1 Proceedings of the American Mathematical Society 1 Statistica Neerlandica 1 Communications in Statistics. Stochastic Models 1 Statistics 1 Journal of Theoretical Probability 1 The Annals of Applied Probability 1 Siberian Advances in Mathematics 1 SIAM Journal on Applied Mathematics 1 Nieuw Archief voor Wiskunde. Vierde Serie 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Computational Statistics and Data Analysis 1 Computational Economics 1 Test 1 Mathematical Methods of Statistics 1 Electronic Journal of Probability 1 Statistical Methods and Applications 1 Mathematics in Science and Engineering 1 Statistik und ihre Anwendungen
all top 5

### Fields

 78 Probability theory and stochastic processes (60-XX) 53 Statistics (62-XX) 5 History and biography (01-XX) 3 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 2 Mathematics education (97-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX)

### Citations contained in zbMATH Open

71 Publications have been cited 929 times in 686 Documents Cited by Year
The empirical process of some long-range dependent sequences with an application to U-statistics. Zbl 0696.60032
1989
Limit theorems for functionals of mixing processes with applications to $$U$$-statistics and dimension estimation. Zbl 0980.60031
Borovkova, Svetlana; Burton, Robert; Dehling, Herold
2001
Large deviations for some weakly dependent random processes. Zbl 0699.60016
Burton, Robert M.; Dehling, Herold
1990
Empirical process techniques for dependent data. Zbl 1021.62036
Dehling, Herold; Philipp, Walter
2002
Almost sure invariance principles for weakly dependent vector-valued random variables. Zbl 0487.60006
Dehling, Herold; Philipp, Walter
1982
Some limit theorems in log density. Zbl 0785.60014
Berkes, I.; Dehling, H.
1993
Central limit theorem and the bootstrap for $$U$$-statistics of strongly mixing data. Zbl 1177.62056
Dehling, Herold; Wendler, Martin
2010
Random quadratic forms and the bootstrap for $$U$$-statistics. Zbl 0815.62028
Dehling, Herold; Mikosch, Thomas
1994
Limit theorems for sums of weakly dependent Banach space valued random variables. Zbl 0496.60004
Dehling, Herold
1983
Strong laws for $$L$$- and $$U$$-statistics. Zbl 0863.60032
Aaronson, J.; Burton, R.; Dehling, H.; Gilat, D.; Hill, T.; Weiss, B.
1996
An invariance principle for weakly associated random vectors. Zbl 0611.60028
Burton, Robert M.; Dabrowski, André Robert; Dehling, Herold
1986
Testing for a change in correlation at an unknown point in time using an extended functional delta method. Zbl 1239.91187
Wied, Dominik; Krämer, Walter; Dehling, Herold
2012
Non-parametric change-point tests for long-range dependent data. Zbl 1259.62028
Dehling, Herold; Rooch, Aeneas; Taqqu, Murad S.
2013
The almost sure invariance principle for the empirical process of U- statistic structure. Zbl 0619.60036
Dehling, Herold; Denker, Manfred; Philipp, Walter
1987
Drift estimation for a periodic mean reversion process. Zbl 1209.60047
Dehling, Herold; Franke, Brice; Kott, Thomas
2010
Empirical process techniques for dependent data. Zbl 1005.00016
2002
Bivariate symmetric statistics of long-range dependent observations. Zbl 0737.62042
1991
Estimating drift parameters in a fractional Ornstein Uhlenbeck process with periodic mean. Zbl 1369.62214
Dehling, Herold; Franke, Brice; Woerner, Jeannette H. C.
2017
Bootstrap for dependent Hilbert space-valued random variables with application to von Mises statistics. Zbl 1302.62098
Dehling, Herold; Sharipov, Olimjon Sh.; Wendler, Martin
2015
New techniques for empirical processes of dependent data. Zbl 1176.60023
Dehling, Herold; Durieu, Olivier; Volny, Dalibor
2009
Invariance principles for von Mises and U-statistics. Zbl 0552.60030
Dehling, Herold; Denker, Manfred; Philipp, Walter
1984
A Berry-Esséen theorem and a functional law of the iterated logarithm for weakly associated random vectors. Zbl 0665.60027
Dabrowski, André R.; Dehling, Herold
1988
On the almost sure (a.s.) central limit theorem for random variables with infinite variance. Zbl 0804.60021
Berkes, I.; Dehling, H.
1994
Estimation of mean and covariance operator for Banach space valued autoregressive processes with dependent innovations. Zbl 1079.62084
Dehling, Herold; Sharipov, Olimjon Sh.
2005
Central limit theorems for mixing sequences of random variables under minimal conditions. Zbl 0605.60027
Dehling, Herold; Denker, Manfred; Philipp, Walter
1986
A bounded law of the iterated logarithm for Hilbert space valued martingales and its application to U-statistics. Zbl 0572.60012
Dehling, Herold; Denker, Manfred; Philipp, Walter
1986
Limit theorems for dependent $$U$$-statistics. Zbl 1105.62047
Dehling, Herold
2006
Complete convergence of triangular arrays and the law of the iterated logarithm for U-statistics. Zbl 0687.60036
Dehling, Herold
1989
Consistency of the Takens estimator for the correlation dimension. Zbl 0928.62072
Borovkova, S.; Burton, R.; Dehling, H.
1999
Asymptotic distribution of two-sample empirical $$U$$-quantiles with applications to robust tests for shifts in location. Zbl 1250.62021
Dehling, Herold; Fried, Roland
2012
Robust nonparametric tests for the two-sample location problem. Zbl 1337.62093
Fried, Roland; Dehling, Herold
2011
Parking on a random tree. Zbl 1151.82390
Dehling, H. G.; Fleurke, S. R.; Külske, C.
2008
Resampling $$U$$-statistics using $$p$$-stable laws. Zbl 0770.60039
Dehling, Herold; Denker, Manfred; Woyczynski, Wojbor A.
1990
Change-point detection under dependence based on two-sample $$U$$-statistics. Zbl 1365.62333
Dehling, Herold; Fried, Roland; Garcia, Isabel; Wendler, Martin
2015
Testing for changes in Kendall’s tau. Zbl 1396.62202
Dehling, Herold; Vogel, Daniel; Wendler, Martin; Wied, Dominik
2017
A note on a theorem of Berkes and Philipp. Zbl 0479.60013
Dehling, Herold
1983
A fluctuation test for constant Spearman’s rho with nuisance-free limit distribution. Zbl 06984005
Wied, Dominik; Dehling, Herold; van Kampen, Maarten; Vogel, Daniel
2014
Weak convergence of the empirical process of intermittent maps in $$\mathbb{L}^{2}$$ under long-range dependence. Zbl 1315.60038
Dedecker, Jérôme; Dehling, Herold; Taqqu, Murad S.
2015
Law of the iterated logarithm for $$U$$-statistics of weakly dependent observations. Zbl 1219.60030
Dehling, Herold; Wendler, Martin
2010
Empirical processes of multidimensional systems with multiple mixing properties. Zbl 1235.60027
Dehling, Herold; Durieu, Olivier
2011
Versik processes and very weak Bernoulli processes with summable rates are independent. Zbl 0601.60001
Dehling, Herold; Denker, Manfred; Philipp, Walter
1984
Counterexamples related to the a.s. central limit theorem. Zbl 0765.60018
Berkes, I.; Dehling, H.; Móri, T. F.
1991
Generalized two-sample $$U$$-statistics for clustered data. Zbl 1069.62014
Lee, Mei-Ling Ting; Dehling, Herold G.
2005
Poisson limits for $$U$$-statistics. Zbl 1059.60063
Dabrowski, André R.; Dehling, Herold G.; Mikosch, Thomas; Sharipov, Olimjon
2002
A strong approximation theorem for sums of random vectors in the domain of attraction to a stable law. Zbl 0615.60026
Berkes, I.; Dabrowski, A.; Dehling, H.; Philipp, W.
1986
Change point testing for the drift parameters of a periodic mean reversion process. Zbl 1333.62194
Dehling, Herold; Franke, Brice; Kott, Thomas; Kulperger, Reg
2014
Stochastic models for transport in a fluidized bed. Zbl 0949.60086
Dehling, H. G.; Hoffmann, A. C.; Stuut, H. W.
1999
An almost sure invariance principle for triangular arrays of Banach space valued random variables. Zbl 0541.60006
Dabrowski, André; Dehling, Herold; Philipp, Walter
1984
The functional law of the iterated logarithm for von Mises functionals and multiple Wiener integrals. Zbl 0673.60034
Dehling, Herold
1989
Distance covariance for discretized stochastic processes. Zbl 1462.62356
Dehling, Herold; Matsui, Muneya; Mikosch, Thomas; Samorodnitsky, Gennady; Tafakori, Laleh
2020
Estimation of the variance of partial sums of dependent processes. Zbl 06130776
Dehling, Herold; Fried, Roland; Sharipov, Olimjon Sh.; Vogel, Daniel; Wornowizki, Max
2013
Marcinkiewicz-Zygmund strong laws for $$U$$-statistics of weakly dependent observations. Zbl 1386.60105
Dehling, Herold G.; Sharipov, Olimjon Sh.
2009
Einführung in die Wahrscheinlichkeitstheorie und Statistik. Zbl 1012.62001
Dehling, Herold; Haupt, Beate
2003
From dimension estimation to asymptotics of dependent $$U$$-statistics. Zbl 1016.62105
Borovkova, S.; Burton, R.; Dehling, H.
2002
Approximating class approach for empirical processes of dependent sequences indexed by functions. Zbl 1307.60027
Dehling, Herold; Durieu, Olivier; Tusche, Marco
2014
A sequential empirical CLT for multiple mixing processes with application to $$\mathcal{B}$$-geometrically ergodic Markov chains. Zbl 1302.60047
Dehling, Herold; Durieu, Olivier; Tusche, Marco
2014
Almost sure and weak invariance principles for random variables attracted by a stable law. Zbl 0661.60051
Berkes, I.; Dehling, H.
1989
A robust method for shift detection in time series. Zbl 1451.62098
Dehling, H.; Fried, R.; Wendler, M.
2020
Power of change-point tests for long-range dependent data. Zbl 1378.62064
Dehling, Herold; Rooch, Aeneas; Taqqu, Murad S.
2017
Stochastic modelling in process technology. Zbl 1134.60001
Dehling, Herold G.; Gottschalk, Timo; Hoffmann, Alex C.
2007
Dependence in probability, analysis and number theory: the mathematical work of Walter Philipp (1936–2006). Zbl 1209.01045
Berkes, István; Dehling, Herold
2010
On asymptotic behavior of weighted sample quantiles. Zbl 0859.62048
Borovkov, K.; Dehling, H.; Pfeifer, D.
1996
Two-sample $$U$$-statistic processes for long-range dependent data. Zbl 1366.60070
Dehling, H.; Rooch, A.; Wendler, M.
2017
Continuous functions whose level sets are orthogonal to all polynomials of a given degree. Zbl 0796.60045
Dehling, H.; Taqqu, M. S.
1992
The islamic mean: A peculiar $$L$$-statistic. Zbl 0784.62038
Dehling, H. G.; Kalma, J. N.; Moes, C.; Schaafsma, W.
1991
Grenzwertsaetze für Summen schwach abhängiger vektor-wertiger Zufallsvariablen. Zbl 0472.60025
Dehling, Herold
1981
Introduction to probability theory and statistics. 2. Auflage. (Einführung in die Wahrscheinlichkeitstheorie und Statistik.) Zbl 1157.62301
Dehling, Herold; Haupt, Beate
2004
Smoothing techniques for prediction of nonlinear time series. Zbl 1330.62335
Borovkova, Svetlana; Burton, Robert; Dehling, Herold
1998
The functional law of the iterated logarithm for the empirical process of some long-range dependent sequences. Zbl 0666.60031
1988
An asymptotic test for constancy of the variance under short-range dependence. Zbl 1486.62244
Schmidt, Sara K.; Wornowizki, Max; Fried, Roland; Dehling, Herold
2021
Ordinal pattern dependence as a multivariate dependence measure. Zbl 1476.62103
Betken, Annika; Dehling, Herold; Nüßgen, Ines; Schnurr, Alexander
2021
An asymptotic test for constancy of the variance under short-range dependence. Zbl 1486.62244
Schmidt, Sara K.; Wornowizki, Max; Fried, Roland; Dehling, Herold
2021
Ordinal pattern dependence as a multivariate dependence measure. Zbl 1476.62103
Betken, Annika; Dehling, Herold; Nüßgen, Ines; Schnurr, Alexander
2021
Distance covariance for discretized stochastic processes. Zbl 1462.62356
Dehling, Herold; Matsui, Muneya; Mikosch, Thomas; Samorodnitsky, Gennady; Tafakori, Laleh
2020
A robust method for shift detection in time series. Zbl 1451.62098
Dehling, H.; Fried, R.; Wendler, M.
2020
Estimating drift parameters in a fractional Ornstein Uhlenbeck process with periodic mean. Zbl 1369.62214
Dehling, Herold; Franke, Brice; Woerner, Jeannette H. C.
2017
Testing for changes in Kendall’s tau. Zbl 1396.62202
Dehling, Herold; Vogel, Daniel; Wendler, Martin; Wied, Dominik
2017
Power of change-point tests for long-range dependent data. Zbl 1378.62064
Dehling, Herold; Rooch, Aeneas; Taqqu, Murad S.
2017
Two-sample $$U$$-statistic processes for long-range dependent data. Zbl 1366.60070
Dehling, H.; Rooch, A.; Wendler, M.
2017
Bootstrap for dependent Hilbert space-valued random variables with application to von Mises statistics. Zbl 1302.62098
Dehling, Herold; Sharipov, Olimjon Sh.; Wendler, Martin
2015
Change-point detection under dependence based on two-sample $$U$$-statistics. Zbl 1365.62333
Dehling, Herold; Fried, Roland; Garcia, Isabel; Wendler, Martin
2015
Weak convergence of the empirical process of intermittent maps in $$\mathbb{L}^{2}$$ under long-range dependence. Zbl 1315.60038
Dedecker, Jérôme; Dehling, Herold; Taqqu, Murad S.
2015
A fluctuation test for constant Spearman’s rho with nuisance-free limit distribution. Zbl 06984005
Wied, Dominik; Dehling, Herold; van Kampen, Maarten; Vogel, Daniel
2014
Change point testing for the drift parameters of a periodic mean reversion process. Zbl 1333.62194
Dehling, Herold; Franke, Brice; Kott, Thomas; Kulperger, Reg
2014
Approximating class approach for empirical processes of dependent sequences indexed by functions. Zbl 1307.60027
Dehling, Herold; Durieu, Olivier; Tusche, Marco
2014
A sequential empirical CLT for multiple mixing processes with application to $$\mathcal{B}$$-geometrically ergodic Markov chains. Zbl 1302.60047
Dehling, Herold; Durieu, Olivier; Tusche, Marco
2014
Non-parametric change-point tests for long-range dependent data. Zbl 1259.62028
Dehling, Herold; Rooch, Aeneas; Taqqu, Murad S.
2013
Estimation of the variance of partial sums of dependent processes. Zbl 06130776
Dehling, Herold; Fried, Roland; Sharipov, Olimjon Sh.; Vogel, Daniel; Wornowizki, Max
2013
Testing for a change in correlation at an unknown point in time using an extended functional delta method. Zbl 1239.91187
Wied, Dominik; Krämer, Walter; Dehling, Herold
2012
Asymptotic distribution of two-sample empirical $$U$$-quantiles with applications to robust tests for shifts in location. Zbl 1250.62021
Dehling, Herold; Fried, Roland
2012
Robust nonparametric tests for the two-sample location problem. Zbl 1337.62093
Fried, Roland; Dehling, Herold
2011
Empirical processes of multidimensional systems with multiple mixing properties. Zbl 1235.60027
Dehling, Herold; Durieu, Olivier
2011
Central limit theorem and the bootstrap for $$U$$-statistics of strongly mixing data. Zbl 1177.62056
Dehling, Herold; Wendler, Martin
2010
Drift estimation for a periodic mean reversion process. Zbl 1209.60047
Dehling, Herold; Franke, Brice; Kott, Thomas
2010
Law of the iterated logarithm for $$U$$-statistics of weakly dependent observations. Zbl 1219.60030
Dehling, Herold; Wendler, Martin
2010
Dependence in probability, analysis and number theory: the mathematical work of Walter Philipp (1936–2006). Zbl 1209.01045
Berkes, István; Dehling, Herold
2010
New techniques for empirical processes of dependent data. Zbl 1176.60023
Dehling, Herold; Durieu, Olivier; Volny, Dalibor
2009
Marcinkiewicz-Zygmund strong laws for $$U$$-statistics of weakly dependent observations. Zbl 1386.60105
Dehling, Herold G.; Sharipov, Olimjon Sh.
2009
Parking on a random tree. Zbl 1151.82390
Dehling, H. G.; Fleurke, S. R.; Külske, C.
2008
Stochastic modelling in process technology. Zbl 1134.60001
Dehling, Herold G.; Gottschalk, Timo; Hoffmann, Alex C.
2007
Limit theorems for dependent $$U$$-statistics. Zbl 1105.62047
Dehling, Herold
2006
Estimation of mean and covariance operator for Banach space valued autoregressive processes with dependent innovations. Zbl 1079.62084
Dehling, Herold; Sharipov, Olimjon Sh.
2005
Generalized two-sample $$U$$-statistics for clustered data. Zbl 1069.62014
Lee, Mei-Ling Ting; Dehling, Herold G.
2005
Introduction to probability theory and statistics. 2. Auflage. (Einführung in die Wahrscheinlichkeitstheorie und Statistik.) Zbl 1157.62301
Dehling, Herold; Haupt, Beate
2004
Einführung in die Wahrscheinlichkeitstheorie und Statistik. Zbl 1012.62001
Dehling, Herold; Haupt, Beate
2003
Empirical process techniques for dependent data. Zbl 1021.62036
Dehling, Herold; Philipp, Walter
2002
Empirical process techniques for dependent data. Zbl 1005.00016
2002
Poisson limits for $$U$$-statistics. Zbl 1059.60063
Dabrowski, André R.; Dehling, Herold G.; Mikosch, Thomas; Sharipov, Olimjon
2002
From dimension estimation to asymptotics of dependent $$U$$-statistics. Zbl 1016.62105
Borovkova, S.; Burton, R.; Dehling, H.
2002
Limit theorems for functionals of mixing processes with applications to $$U$$-statistics and dimension estimation. Zbl 0980.60031
Borovkova, Svetlana; Burton, Robert; Dehling, Herold
2001
Consistency of the Takens estimator for the correlation dimension. Zbl 0928.62072
Borovkova, S.; Burton, R.; Dehling, H.
1999
Stochastic models for transport in a fluidized bed. Zbl 0949.60086
Dehling, H. G.; Hoffmann, A. C.; Stuut, H. W.
1999
Smoothing techniques for prediction of nonlinear time series. Zbl 1330.62335
Borovkova, Svetlana; Burton, Robert; Dehling, Herold
1998
Strong laws for $$L$$- and $$U$$-statistics. Zbl 0863.60032
Aaronson, J.; Burton, R.; Dehling, H.; Gilat, D.; Hill, T.; Weiss, B.
1996
On asymptotic behavior of weighted sample quantiles. Zbl 0859.62048
Borovkov, K.; Dehling, H.; Pfeifer, D.
1996
Random quadratic forms and the bootstrap for $$U$$-statistics. Zbl 0815.62028
Dehling, Herold; Mikosch, Thomas
1994
On the almost sure (a.s.) central limit theorem for random variables with infinite variance. Zbl 0804.60021
Berkes, I.; Dehling, H.
1994
Some limit theorems in log density. Zbl 0785.60014
Berkes, I.; Dehling, H.
1993
Continuous functions whose level sets are orthogonal to all polynomials of a given degree. Zbl 0796.60045
Dehling, H.; Taqqu, M. S.
1992
Bivariate symmetric statistics of long-range dependent observations. Zbl 0737.62042
1991
Counterexamples related to the a.s. central limit theorem. Zbl 0765.60018
Berkes, I.; Dehling, H.; Móri, T. F.
1991
The islamic mean: A peculiar $$L$$-statistic. Zbl 0784.62038
Dehling, H. G.; Kalma, J. N.; Moes, C.; Schaafsma, W.
1991
Large deviations for some weakly dependent random processes. Zbl 0699.60016
Burton, Robert M.; Dehling, Herold
1990
Resampling $$U$$-statistics using $$p$$-stable laws. Zbl 0770.60039
Dehling, Herold; Denker, Manfred; Woyczynski, Wojbor A.
1990
The empirical process of some long-range dependent sequences with an application to U-statistics. Zbl 0696.60032
1989
Complete convergence of triangular arrays and the law of the iterated logarithm for U-statistics. Zbl 0687.60036
Dehling, Herold
1989
The functional law of the iterated logarithm for von Mises functionals and multiple Wiener integrals. Zbl 0673.60034
Dehling, Herold
1989
Almost sure and weak invariance principles for random variables attracted by a stable law. Zbl 0661.60051
Berkes, I.; Dehling, H.
1989
A Berry-Esséen theorem and a functional law of the iterated logarithm for weakly associated random vectors. Zbl 0665.60027
Dabrowski, André R.; Dehling, Herold
1988
The functional law of the iterated logarithm for the empirical process of some long-range dependent sequences. Zbl 0666.60031
1988
The almost sure invariance principle for the empirical process of U- statistic structure. Zbl 0619.60036
Dehling, Herold; Denker, Manfred; Philipp, Walter
1987
An invariance principle for weakly associated random vectors. Zbl 0611.60028
Burton, Robert M.; Dabrowski, André Robert; Dehling, Herold
1986
Central limit theorems for mixing sequences of random variables under minimal conditions. Zbl 0605.60027
Dehling, Herold; Denker, Manfred; Philipp, Walter
1986
A bounded law of the iterated logarithm for Hilbert space valued martingales and its application to U-statistics. Zbl 0572.60012
Dehling, Herold; Denker, Manfred; Philipp, Walter
1986
A strong approximation theorem for sums of random vectors in the domain of attraction to a stable law. Zbl 0615.60026
Berkes, I.; Dabrowski, A.; Dehling, H.; Philipp, W.
1986
Invariance principles for von Mises and U-statistics. Zbl 0552.60030
Dehling, Herold; Denker, Manfred; Philipp, Walter
1984
Versik processes and very weak Bernoulli processes with summable rates are independent. Zbl 0601.60001
Dehling, Herold; Denker, Manfred; Philipp, Walter
1984
An almost sure invariance principle for triangular arrays of Banach space valued random variables. Zbl 0541.60006
Dabrowski, André; Dehling, Herold; Philipp, Walter
1984
Limit theorems for sums of weakly dependent Banach space valued random variables. Zbl 0496.60004
Dehling, Herold
1983
A note on a theorem of Berkes and Philipp. Zbl 0479.60013
Dehling, Herold
1983
Almost sure invariance principles for weakly dependent vector-valued random variables. Zbl 0487.60006
Dehling, Herold; Philipp, Walter
1982
Grenzwertsaetze für Summen schwach abhängiger vektor-wertiger Zufallsvariablen. Zbl 0472.60025
Dehling, Herold
1981
all top 5

### Cited by 781 Authors

 37 Dehling, Herold G. 21 Surgailis, Donatas 17 Berkes, István 17 Horváth, Lajos 17 Wendler, Martin 14 Dedecker, Jérôme 13 Bücher, Axel 12 Taqqu, Murad S. 11 Koul, Hira Lal 11 Wied, Dominik 10 Sharipov, Olimjon Shukurovich 9 Denker, Manfred 9 Mikosch, Thomas 8 Beran, Jan 8 Csáki, Endre 8 Fried, Roland 8 Ghosh, Sucharita 8 Peligrad, Magda 7 Bradley, Richard C. jun. 7 Dabrowski, André Robert 7 Doukhan, Paul 7 Durieu, Olivier 7 Jiménez-Gamero, María Dolores 7 Leucht, Anne 7 Marinucci, Domenico 7 Zhang, Li-Xin 6 Merlevède, Florence 6 Neumann, Michael H. 6 Zähle, Henryk 5 Chen, Pingyan 5 Dette, Holger 5 Giraitis, Liudas 5 Kulik, Rafał 5 Philipp, Walter 5 Prieur, Clémentine 5 Rice, Gregory 5 Ruiz-Medina, María Dolores 5 Shin, Dongwan 4 Bai, Shuyang 4 Beutner, Eric 4 Choi, Jieun 4 Csörgő, Miklós 4 Csörgő, Sándor 4 Es-Sebaiy, Khalifa 4 Gonchigdanzan, Khurelbaatar 4 Hušková, Marie 4 Jakubowski, Adam 4 Khoshnevisan, Davar 4 Kim, Tae-Sung 4 Ko, Mi-Hwa 4 Lévy-Leduc, Céline 4 Li, Yunxia 4 Lin, Zhengyan 4 Min, Aleksey 4 Nkurunziza, Sévérien 4 Quessy, Jean-François 4 Segers, Johan 4 Steland, Ansgar 4 Sung, Soohak 4 Tewes, Johannes 4 Volgushev, Stanislav 4 Volodin, Andrei I. 4 Wang, Lihong 4 Wang, Xuejun 4 Wu, Wei Biao 4 Zitikis, Ričardas 3 Álvarez-Liébana, Javier 3 Bhaskara Rao, M. 3 Boistard, Hélène 3 Borovkova, Svetlana 3 Borovskikh, Yuri V. 3 Burton, Robert M. jun. 3 Chen, Xiaohui 3 Davydov, Youri 3 Földes, Antónia 3 Giné-Masdéu, Evarist 3 Haario, Heikki 3 Han, Fang 3 Ho, Hwai-Chung 3 Hörmann, Siegfried 3 Kato, Kengo 3 Kirch, Claudia 3 Kojadinovic, Ivan 3 Lang, Gabriel 3 Leipus, Remigijus 3 Matsui, Muneya 3 Mielniczuk, Jan 3 Moulines, Eric 3 Mukherjee, Kanchan 3 Owada, Takashi 3 Paparoditis, Efstathios 3 Reisen, Valdério Anselmo 3 Rooch, Aeneas 3 Samorodnitsky, Gennady Pinkhosovich 3 Seri, Raffaello 3 Shen, Guangjun 3 van Delft, Anne 3 Vogel, Daniel 3 Wang, Xiangchen 3 Wenger, Kai ...and 681 more Authors
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### Cited in 146 Serials

 62 Statistics & Probability Letters 58 Stochastic Processes and their Applications 41 Journal of Multivariate Analysis 27 Journal of Statistical Planning and Inference 24 The Annals of Statistics 23 Probability Theory and Related Fields 23 Journal of Theoretical Probability 23 Bernoulli 17 Communications in Statistics. Theory and Methods 17 Electronic Journal of Statistics 14 Journal of Econometrics 14 Journal of Nonparametric Statistics 13 Statistical Papers 11 Annals of the Institute of Statistical Mathematics 11 The Annals of Probability 11 Journal of Time Series Analysis 11 Statistical Inference for Stochastic Processes 9 Metrika 9 Computational Statistics and Data Analysis 9 Test 8 The Annals of Applied Probability 7 Journal of Mathematical Analysis and Applications 7 Lithuanian Mathematical Journal 7 Journal of Applied Probability 7 Acta Mathematica Sinica. English Series 6 The Canadian Journal of Statistics 6 Acta Mathematica Hungarica 6 Statistics 6 Journal of Inequalities and Applications 6 Econometric Theory 5 Journal of Statistical Physics 5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 Mathematical Methods of Statistics 5 Stochastics and Dynamics 4 Transactions of the American Mathematical Society 4 Stochastic Analysis and Applications 4 Econometric Reviews 4 Journal of Statistical Computation and Simulation 4 Stochastics 4 Journal of the Korean Statistical Society 3 Advances in Applied Probability 3 Economics Letters 3 Communications in Statistics. Simulation and Computation 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Journal of Applied Statistics 3 Journal of Theoretical Biology 3 Dependence Modeling 2 Computers & Mathematics with Applications 2 Periodica Mathematica Hungarica 2 Scandinavian Journal of Statistics 2 Stochastics 2 Ukrainian Mathematical Journal 2 Mathematics of Computation 2 Automatica 2 Biometrics 2 Mathematische Nachrichten 2 Acta Mathematicae Applicatae Sinica. English Series 2 Sequential Analysis 2 Statistical Science 2 Applied Mathematics Letters 2 Applied Mathematics. Series B (English Edition) 2 Statistica Sinica 2 Electronic Journal of Probability 2 Journal of Mathematical Chemistry 2 Discrete Dynamics in Nature and Society 2 Methodology and Computing in Applied Probability 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Statistical Methods and Applications 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Journal of Statistical Theory and Practice 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematische Semesterberichte 1 Rocky Mountain Journal of Mathematics 1 Bulletin of Mathematical Biology 1 Inventiones Mathematicae 1 Journal of the American Statistical Association 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Economic Theory 1 Journal of the Korean Mathematical Society 1 Mathematics and Computers in Simulation 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Siberian Mathematical Journal 1 Statistica Neerlandica 1 Operations Research Letters 1 Probability and Mathematical Statistics 1 Acta Applicandae Mathematicae 1 Physica D 1 Queueing Systems 1 Siberian Advances in Mathematics 1 Applications of Mathematics 1 Journal of Global Optimization 1 Computational Statistics 1 Automation and Remote Control ...and 46 more Serials
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### Cited in 37 Fields

 473 Probability theory and stochastic processes (60-XX) 412 Statistics (62-XX) 27 Numerical analysis (65-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Dynamical systems and ergodic theory (37-XX) 12 Measure and integration (28-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Combinatorics (05-XX) 8 Computer science (68-XX) 8 Biology and other natural sciences (92-XX) 8 Systems theory; control (93-XX) 7 Operations research, mathematical programming (90-XX) 6 Functional analysis (46-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Real functions (26-XX) 4 Ordinary differential equations (34-XX) 4 Partial differential equations (35-XX) 3 Special functions (33-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX)