Prof. Dr. Herold Dehling - Wissenschaftliche Publikationen

2012

  1. H. Dehling, R. Fried (2012): Asymptotic distribution of two-sample empirical U-Quantiles with applications to robust tests for shifts in location. Journal of Multivariate Analysis 105 , 124--140.
  2. D. Wied, W. Krämer, H. Dehling (2012): Testing for a change in correlation at an unknown point in time using an extended functional delta method. Econometric Theory 28 ,(DOI:10.1017/S0266466611000661).

2011

  1. H. Dehling (2011): Almost Sure Convergence of Random Variables. In: M.~Lovric (Ed.): International Encyclopedia of Statistical Science , Springer Verlag. 32-35.
  2. H. Dehling, E. Glasmachers, J. Härterich, D.Kacso (2011): Servicezentrum Mathematik und Anwendungen der Ruhr-Universität Bochum - Ein Zentrum für Mathematik im Dienst der Anwendungen. Das Hochschulwesen 59 , 49-52.
  3. H. Dehling: Almost Sure Convergence of Random Variables. In: M. Lovric (ed.) (2011): Internatinal encyclopedia of Statistical Science, Springer Verlag, 32-35.
  4. H. Dehling, O. Durieu (2011): Empirical Processes of Multidimensional Systems with Multiple Mixing Properties. Stochastic Processes and their Applications, 121 , 1076-1096.
  5. R. Fried, H. Dehling (2011): Robust nonparametric tests for the two-sample location problem. Statistical Methods and Applications 20 , 409-422

2010

  1. I. Berkes, R. Bradley, H. Dehling, M. Peligrad and R. Tichy (Eds.) (2010):Dependence in Probability, Analysis and Number Theory. Kendrick Press 2010
  2. I. Berkes, H. Dehling: Dependence in Probability, Analysis and Number Theory: The Mathematical Work of Walter Philipp (1936-2006)(2010). In: I. Berkes, R. Bradley, H. Dehling, M. Peligrad, R. Tichy (Eds.): Dependence in Probability, Analysis and Number Theory. Kendrick Press, 1-19.
  3. H. Dehling, E. Glasmachers, J. Härterich und K. Hellermann (2010): MP2-Mathe/Plus/Praxis: Neue Ideen für die Servicelehre Mitteilungen der DMV 18 .
  4. H. Dehling, B. Franke and T. Kott (2010): Drift estimation for a periodic mean reversion process.Statistical Inference for Stochastic processes 13,175-192.
  5. H. Dehling, M. Wendler (2010):Law of the iterated logarithm for U-statistics of weakly dependent observations. In: I. Berkes, R. Bradley, H. Dehling, M. Peligrad, R. Tichy (Eds.): Kendrich Press, 177-194.
  6. H. Dehling, M. Wendler (2010):Central limit theorem and the bootstrap for U-statistics of strongly mixing data. Journal of Multivariate Analysis, 101, 126-137.

2009

  1. H. Dehling (2009): Andre Dabrowski's work on limit theorems and weak dependence. The Canadian Journal of statistics 37, 307-326.
  2. H. Dehling, O. Sharipov (2009): Marcinkiewicz-Zygmund: Strong laws for U-statistics of weakly dependent observations. Statistitics and Probability Letters, 79, 2028-2036.
  3. H. Dehling, O. Durieu and D. Volny (2009): New techniques for empirical processes of dependent data ( Stochastic Processes and their Applications), 119, 3699-3718.

2008

veroeffentlichungen

  1. H. G. Dehling, S. R. Fleurke, C. Kuelske (2008): Parking on a Random Tree. Journal of Statistical Physics 133 , 151-157.
  2. T. Gottschalk, H. G. Dehling, A. C. Hoffmann (2008): Multiphase stochastic model for fluidized beds. Physical Review E 77, , 031306.

2007

  1. H. G. Dehling, T. Gottschalk and A. C. Hoffmann (2007): Stochastic Modeling in Process Technology, Elsevier, Amsterdam [u.a.].
  2. H. G. Dehling, C. Dechsiri, T. Gottschalk, Ph. C. Wright, A. C. Hoffmann (2007): A stochastic model for mixing and segretaion in slugging fluidized beds. Powder Technology 171 , 118--125.

2006

  1. H. Dehling (2006): Limit Theorems for Dependent U-Statistics. In: P. Bertail, P. Doukhan and Ph. Soulier (Eds.): Dependence in Probability and Statistics, Springer Lecture Notes in Statistics 187, 65--86.
  2. T. Gottschalk, H. G. Dehling and A. C. Hoffmann (2006): Danckwerts' Law for Mean Residence Time Revisited. Chemical Engineering Science 61 , 6213--6217

2005

  1. H. G. Dehling, J. N. Kalma (2005): Kansrekening - het zekere van het onzekere. 2. Auflage, Epsilon Uitgaven, Utrecht.
  2. H. Dehling, O. Sh. Sharipov (2005): Estimation of Mean and Covariance Operator for Banach Space Valued Autoregressive Processes with Dependent Innovations. Statistical Inference for Stochastic Processes 8, 137--149
  3. Mei-Ling Ting Lee, Herold G.Dehling (2005): Generalized two-sample U-statistics for dependent data. Statistica Neerlandica 59 , 313--323
  4. C. Dechsiri, E. A. van der Zwan, H. G. Dehling, A. C. Hoffmann (2005): Dispersion of Particle Pulses in Fluidized Beds Measured by Positron Emission Tomography. American Institute of Chemical Engineers 51, 791--801
  5. A. C. Hoffmann, C. Dechsiri, F. van de Wiel, H. G. Dehling (2005): PET investigation of a fluidized particle: spatial and temporal resolution and short term motion. Measurement Science and Technology 16, 851--858
  6. C. Dechsiri, A. Ghione, F. van de Wiel, Herold G. Dehling, A. M.J. Paans and A. C. Hoffmann (2005): Positron Emission Tpomography Applied to Fluidization Engineering. The Canadian Journal of Chemical Engineering 83, 88--96.

2004

  1. Herold Dehling, Beate Haupt (2004): Einführung in die Wahrscheinlichkeitstheorie und Statistik , 2. Auflage, Springer Verlag.
  2. Andre Robert Dabrowski, Herold Dehling (2004): Conditional Distribution of the H-coefficient in Nonparametric Unfolding Models. In: L. Horvath, B. Szyszkowicz (eds.): Asymptotic Methods in Stochastics: Festschrift for Miklos Csorgo , Fields Institute Communications 44, 367--379
  3. S.R. Fleurke, H.G. Dehling, H.K. Leonhard, A.D. Brinkerink, R. den Besten (2004): Measurement and statistical analysis of spectrum occupancy. European Transactions on Telecommunications 15, 429--436.

2003

  1. H. Dehling, B. Haupt (2003): Einführung in die Wahrscheinlichkeitstheorie und Statistik, Springer Verlag.
  2. R. M. Burton, H. G. Dehling, U. Rösler (2003): A Law of Large Numbers for Rescaled Random Difference Equations. Stochastics and Dynamics 3, 409--417.
  3. S. Borovkova, H. Dehling, J. Renkema, H. Tulleken (2003): A Potential-Field Approach to Financial Time Series Modelling, Computational Economics 22, 139--161
  4. H. Dehling (2003): Wat is een optie waard? In: Speeltuin van de Wiskunde (J. Top, B. de Smit, eds.) Veen Magazines/Natuurwetenschap en Techniek, 27--43
  5. H. Dehling, J. van Maanen (2003): Een plaquette voor Daniel Bernoulli, kleine Groninger en grote wetenschapper. Nieuw Archief voor Wiskunde, 5e serie 4, 254--257.
  6. A. C. Hoffmann, C. Dechsiri, F. van de Wiel, A. Ghione, H. G. Dehling, A. M. J. Paans (2003): Tracking Individual Particles in a Fluidized Bed using a Medical PET-Camera. Proceedings of the 3rd World Congress on Industrial Process Technology, Banff, Canada 2003
  7. C. Dechsiri, F. van de Wiel, H .G. Dehling, A. M. J. Paans, A. C. Hoffmann (2003): Positron Emission Tomography Applied to Fluidization Engineering. 3rd World Congress on Industrial Process Tomography, Banff, Canada 2003.

2002

  1. H. Dehling, T. Mikosch, M. Sorensen (eds) (2002): Empirical Process Techniques for Dependent Data. Birkhäuser Verlag.
  2. H. Dehling, W. Philipp (2002): Empirical Process Techniques for Dependent Data. In: Empirical Process Techniques for Dependent Data (H. Dehling, T. Mikosch, M. Sorensen, eds), Birkhäuser Verlag, 3--111
  3. S. Borovkova, R. Burton, H. Dehling (2002): From Dimension Estimation to Asymptotics of Dependent U-Statistics. In: Limit Theorems in Probability and Statistics I (I. Berkes, E. Csaki, M. Csorgo, eds.) Budapest, 201--234.
  4. A. R. Dabrowski, H. G. Dehling, T. Mikosch, O. Sharipov (2002): Poisson Limits for U-statistics. Stochastic Processes and their Applications 99, 137--157.
  5. C. Dechsiri, H. G. Dehling, A. C. Hoffmann (2002): Stochastic Model for Fluidization, Proceedings of the 4th World Congress on Particle Technology, Sydney 2002

2001

  1. S. Borovkova, R. Burton, H. Dehling (2001): Limit Theorems for Functionals of Mixing Processes with Applications to U-statistics and Dimension Estimation. Transactions of the American Mathematical Society 353 , 4261--4318.
  2. S. R. Fleurke, H. G. Dehling, A. J. Boonstra, A. D. Brinkerink, R. den Besten (2001): Monte-Carlo Methods for Measuring Spectrum Occupancy. In: Proceedings of RFI Mitigation Workshop, Bonn 2001
  3. C. Dechsiri, J. C. Bosma, H. G. Dehling, A. C. Hoffmann, G. Hui (2001): A stochastic model for particle mixing and segregation in fluidized beds with baffles. In: Proceedings of PARTEC 2001

2000

  1. H. Dehling (2000): Het verdwenen bord van Kapteyn. StatOR 1, 17--19.
  2. C. P. Volkers, H. G. Dehling, H. de Bruin (2000): Analysis of repeated measurement binary data. In: COMPSTAT 2000, Proceedings in Computational Statistics (Wim Jansen, Jelke G. Bethlehem, eds.), Statistics Netherlands, 275--276.
  3. C. Dechsiri, J. C. Abanedes, H. G. Dehling, A. C. Hoffmann, P. C. Wright (2000): A Stochastic Model for Mixing and Segregation in Slugging Fluidized Beds. Proceedings of 3rd European Conference on Fluidization, Toulouse 2000 , 631--638

1999

  1. S. A. Borovkova, R. M. Burton, H. G. Dehling (1999): Consistency of the Takens estimator for the correlation dimension. The Annals of Applied Probability 9, 376--390.
  2. H. G. Dehling, A. C. Hoffmann, H. W. Stuut (1999): Stochastic Models for Transport in a Fluidized Bed. SIAM Journal on Applied Mathematics 60, 337--358.
  3. S. A. Borovkova, H. G. Dehling (1999): A term structure model for oil futures and related trading strategies. Shell Research and Technology Center, Amsterdam, Technical report OP.99.20301.

1998

  1. R. M. Burton, H. G. Dehling (1998): Universal Approximation in p-mean by neural networks. Neural Networks 11 , 661--667.
  2. S. Borovkova, R. Burton, H. Dehling (1998): Smoothing Techniques for Prediction of Non-Linear Time Series. In: Signal Analysis and Prediction (A. Prochazka, J. Uhlir, P.J.W. Rayner, N.G. Kingsbury, eds.), 351--362.
  3. A. R. Dabrowski, H. Dehling (1998): Jump diffusion approximation for a Markovian transport model. In: Asymptotic Methods in Probability and Statistics (B. Szyszkowicz, ed.), Elsevier Science, 115--125.
  4. H. G. Dehling, A. Hussem, A. M. Paulis, E. H. M. Ponds (1998): Toetsen van gewogen sterfte. Verzekerings Archief 75, 87--90.
  5. A. C. Hoffmann, H. G. Dehling (1998): A stochastic modelling approach to particle residence time distribution in continuous fluidized beds. Proceedings of World Congress on Particle Technology, Brighton

1997

  1. S. Borovkova, R. Burton, H. Dehling (1997): Prediction of Nonlinear Time Series by Kernel Regression Smoothing. Proceedings of ECSAP-97: First European Conference on Signal Analysis and Prediction , 199--202.
  2. R. M. Burton, H. G. Dehling, R. S. Venema (1997): Perceptron Algorithms for the Classification of Non-Separable Populations. Communications in Statistics - Stochastic Models 13, 205--222.
  3. H. G. Dehling (1997): Daniel Bernoulli and the St. Petersburg Paradox. Nieuw Archief voor Wiskunde, Vierde Serie 15, 223--227.
  4. H. Dehling (1997): Verdeelde kansen. In: Vakantiecursus 1997 - Rekenen op het Toeval, CWI syllabus 43, 33--50.

1996

  1. J. Aaronson, R. Burton, H. Dehling, D. Gilat, T.Hill, B. Weiss (1996): Strong Laws for L- and U-statistics. Transactions of the American Mathematical Society 348, 2845--2866.
  2. K. Borovkov, H. Dehling, D. Pfeifer (1996): On Asymptotic Behavior of Weighted Sample Quantiles. Mathematical Methods of Statistics 5, 173--186.
  3. A. R. Dabrowski, H. Dehling (1996): Estimating conditional occupation-time distributions for dependent sequences. The Canadian Journal of Statistics 24 , 55--65.
  4. H. Dehling (1996): Neuronale Netze - eine kurze Einführung. Panem et Circenses 8, 3--17.
  5. H. G. Dehling, T. K. Dijkstra, H.J. Guichelaar, W. Schaafsma, A. G. M. Steerneman, T.J. Wansbeek, J.T. van der Zee (1996): Structuring the Inferential Contest. In: Bayesian Analysis in Statistics and Econometrics - Essays in Honor of Alfred Zellner (D.A. Berry, K.M. Chaloner, J.K. Geweke, eds.), J. Wiley, New York.
  6. Herold Dehling, Sergey Utev (1996): The Law of the Iteratedd Logarithm for Degenerate U-statistics. In: Probability Theory and Mathematical Statistics (I.A. Ibragimov, A.Yu. Zaitsev, eds.), Gordon and Breach Publishers, 19--28.

1995

  1. H. G. Dehling, J. N. Kalma (1995): Kansrekening - het zekere van het onzekere. Epsilon Uitgaven, Utrecht.

1994

  1. I. Berkes, H. Dehling (1994): On the almost sure central limit theorem for random variables with infinite variance. Journal of Theoretical Probability 7, 667--680.
  2. H. Dehling, T. Mikosch (1994): Random Quadratic Forms and the Bootstrap for U-statistics. Journal of Multivariate Analysis 51, 392--413.

1993

  1. I. Berkes, H. Dehling (1993): Some limit theorems in log density. The Annals of Probability 21, 1640--1670.
  2. H. Dehling, J. van der Plicht (1993): Statistical Problems in Calibrating Radiocarbon Dates. Radiocarbon 35, 239--244.
  3. H. Dehling, S. Utev (1993): An exponential inequality for martingales. Siberian Advances in Mathematics 3 , 197--203

1992

  1. H. Dehling, M. S. Taqqu (1992): Continuous functions whose level sets are orthogonal to all polynomials of a given degree. Acta Mathematica Hungarica 60, 217--224.

1991

  1. I. Berkes, H. Dehling, T. F. Mori (1991): Counterexamples related to the a.s. central limit theorem. Studia Scientiarum Mathematicarum Hungarica 26, 153--164.
  2. H. Dehling, M. S. Taqqu (1991): Bivariate symmetric statistics of long-range dependent observations. Journal of Statistical Planning and Inference 28, 153--165.
  3. H. G. Dehling, J. N. Kalma, C. Moes, W. Schaafsma (1991): The Islamic Mean - A peculiar L-statistic. Studia Scientiarum Mathematicarum Hungarica 26, 297--308.

1990

  1. R. M. Burton, H. Dehling (1990): Large deviations for some weakly dependent random processes. Statistics and Probability Letters 9 , 397--401.
  2. H. Dehling, M. Denker, W. A. Woyczynski (1990): Resampling U-statistics using p-stable laws. Journal of Multivariate Analysis 34, 1--13.

1989

  1. I. Berkes, H. Dehling (1989): Almost Sure and Weak Invariance Principles for Random Variables Attracted by a Stable Law. Probability Theory and Related Fields 83, 331--353.
  2. H. Dehling (1989): The Functional Law of the Iterated Logarithm for von Mises Functionals and Multiple Wiener Integrals. Journal of Multivariate Analysis 28, 177--189.
  3. H. Dehling (1989): Complete Convergence of Triangular Arrays and the Law of the Iterated Logarithm for U-statistics. Statistics and Probability Letters 7 , 319--321.
  4. H. Dehling, M. S. Taqqu (1989): The Empirical Process of Some Long-Range Dependent Sequences with an Application to U-Statistics. The Annals of Statistis 17, 1767--1783.
  5. H. Dehling, M. S. Taqqu (1989): The Functional Law of the Iterated Logarithm for the Empirical Process of some Long-Range Dependent Sequences. Statistics and Probability Letters 7, 81--85

1988

  1. A. R. Dabrowski, H. Dehling (1988): A Berry-Esseen Theorem and a Functional Law of the Iterated Logarithm for Weakly Associated Random Vectors. Stochastic Processes and their Applications 30, 277--289.

1987

  1. H. Dehling, M. S. Taqqu (1987): The limit behavior of empirical processes and symmetric statistics for stationary sequences. Bulletin of the International Statistical Institute 52, book 4, 217--234.
  2. H. Dehling, M. Denker, W. Philipp (1987): The almost sure invariance principle for the empirical process of U-statistic structure. Annales de l'Institut Henri Poincare - Probabilites et Statistiques 23 , 121--134.

1986

  1. I. Berkes, A. Dabrowski, H. Dehling, W. Philipp (1986): A Strong Approximation Theorem for Sums of Random Vectors in the Domain of Attraction to a Stable Law. Acta Mathematica Hungarica 48, 161--172.
  2. R. M. Burton, A. R. Dabrowski, H. Dehling (1986): An Invariance Principle for Weakly Associated Random Vectors. Stochastic Processes and their Applications 23, 301--306.
  3. H. Dehling (1986): Almost sure approximations for U-statistics. In: Dependence in Probability and Statistics (E. Eberlein, M.S. Taqqu, eds.), Birkhäuser, Boston, 119--135.
  4. H. Dehling, M. Denker, W. Philipp (1986): A Bounded Law of the Iterated Logarithm for Hilbert Space Valued Martingales and Its Applications to U-statistics. Probability Theory and Related Fields 72, 111--131.
  5. H. Dehling, M. Denker, W. Philipp (1986): Central Limit Theorems for Mixing Sequences of Random Variables under Minimal Conditions. The Annals of Probability 14, 1359--1370.

1984

  1. A. Dabrowski, H. Dehling, W. Philipp (1984): An Almost Sure Invariance Principle for Triangular Arrays of Banach Space Valued Random Variables. Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete 65, 483--491.
  2. H. Dehling, M. Denker, W. Philipp (1984): Invariance Principles for von Mises and U-statistics. Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete 67, 139--167.
  3. H. Dehling, M. Denker, W. Philipp (1984): Versik Processes and Very Weak Bernoulli Processes with Summable Rates are Independent. Proceedings of the American Mathematical Society 91, 618--624.

1983

  1. H. Dehling (1983): A Note on a Theorem of Berkes and Philipp. Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete 62, 39--42.
  2. H. Dehling (1983): Limit Theorems for Sums of Weakly Dependent Banach Space Valued Random Variables Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete 63, 393--432.

1982

  1. H. Dehling, W. Philipp (1982): Almost Sure Invariance Principles for Weakly Dependent Vector Valued Random Processes. The Annals of Probability 10, 689--701.

1981

  1. H. Dehling (1981): Grenzwertsätze für Summen schwach abhängiger vektor-wertiger Zufallsvariablen. Dissertation, Georg-August-Universität Göttingen.