Preprints / Publications

Articles and Preprints

• [40] Non-parametric Tests for Cross-Dependence Based on Multivariate Extensions of Ordinal Patterns (with C. Weiß and A. Silbernagel). Submitted. 
• [39] Estimating the Renyi Entropy Based on Ordinal Patterns for Time Series and Dynamical sytems (with M. R. Marin and A. Silbernagel). Preprint.
• [38] An Overview of Various Applications of Ordinal Patterns in Data Analysis and Mathematical Statistics (with A. Silbernagel). To appear in Proceedings of ICECET 2024 (2024+) 
• [37] Fixing a Minor Mistake in the Theory of Stochastic Integration and Differential Equations (with S. Rickelhoff). Submitted. 
• [36] Ordinal Pattern Dependence and Multivariate Measures of Dependence (with A. Silbernagel).  To appear in JMVA. arXiv:2401.13007
• [35] The Time-Dependent Symbol of a Non-Homogeneous It^o Process and Corresponding Maximal Inequalities (with S. Rickelhoff). Accepted. J. Theor. Probab. (2024+). arXiv:2308.15801
• [34] Depth patterns (with A. Betken). Preprint. arXiv:2401.13532
• [33] The Bayesian group-sequential predictive evidence value design for phase II clinical trials with binary endpoints (with R. Kelter). Statistics in Biosciences (2024), pdf. 
• [32] On the role of singular functions in extending the probabilistic symbol to its most general class (with S. Rickelhoff). Transactions of the AMS 377(2), 905-919 (2024). arXiv:2211.15442
• [31] A comparison of Different Representations of Ordinal Patterns and Their Usability in Data Analysis (with A. Silbernagel). Proceedings of ICECET 2023 (2024), link. arXiv.
• [30] Multivariate Motion Patterns and Applications to Rainfall Radar Data (with S. Fischer and M. Oesting). SERRA (2023), link.  
• [29] A Toolbox to Demystify Probabilistic and Statistical Paradoxes (with S. Spies and R. Kelter). Frontiers in Education 8 (2023), link.
• [28] Generalized Ordinal Patterns in Discrete-valued Time Series. Testing for Serial Dependence (with C. Weiß). J. of nonparametric statistics (2023), link.  
• [27] From Markov Processes to Semimartingales (with. S. Rickelhoff). Probability Surveys 20, 568-607 (2023). arXiv:2211.15499
• [26] An Ordinal Procedure to Detect Change Points in the Dependence Structure Between Non-Stationary Time Series (with S. Fischer). Eng. Proc. 18,14 (2022), link. 
• [25] Generalized Ordinal Patterns Allowing for Ties and Their Applications in Hydrology (with S. Fischer). CSDA 171, 107472 (2022). arXiv:2401.12268
• [24] Operator-stable-like Processes (with. P. Scheffler and D. Schulte). Stochastic Anal. Appl.  (2021), arXiv:2011.00783
• [23] Ordinal Pattern Dependence in the Context of Long-Range Dependence (with I. Nüßgen). Entropy 23(6), 670 (2021), link
• [22] Ordinal Pattern Dependence as a Multivariat Measure of Dependence (with A. Betken, H. Dehling and I. Nüßgen). JMVA 186(C) (2021). arXiv:2012.02445
• [21] Ordinal Patterns for Long Range Dependent Time Series (with H. Dehling, I. Münker, A. Betken, J. Buchsteiner, J. Woerner). Scand. J. Statist. 48, 969-1000 (2021), link
• [20] Ordinal Patterns in Clusters of Extremes of Regularly Varying Time Series (with Marco Oesting). Extremes 23, 521-545 (2020), pdf
• [19] The Fourth Characteristic of a Semimartingale. Bernoulli 26(1) (2020), 642-663, pdf
• [18] Space Dependent Ordinal Pattern Probabilities in Time Series (with Ines Münker). Proceedings of the ISI World Congress 2019. 
• [17] Laplace Symbols and Invariant Distributions (with Anita Behme). Stat. Prob. Lett. 137 (2018), 217-223, pdf. 
• [15] Time Change Equations for Lévy Type Processes (with Paul Krühner). Stoch. Proc. Appl. 128(3) (2018), 963-978.
• [16] Ordinal Pattern Dependence Between Hydrological Time Series (with Andreas Schumann and Svenja Fischer). Journal of Hydrology 548 (2017) 536-551. 
• [15] Ordinal Pattern Dependence in Contrast to Other Concepts of Dependence (with Ines Münker). Proceedings of the ISI World Congress 2017. 
• [14] Criteria for the Finiteness of the $p$-Variation (with Martynas Manstavicius). Stochastic Anal. Appl. 35(5) (2017), 873-899, pdf.
• [13] Testing for Structural Breaks via Ordinal Pattern Dependence (with Herold Dehling). JASA 112(518) (2017), 706-720. online.
• [12] Comparison of time-inhomogeneous Markov processes (with Ludger Rüschendorf and Viktor Wolf). Adv. Appl. Prob. 48 (2016), 1015–1044.
• [11] A Criterion for Invariant Measures of Itô Processes Based on the Symbol (with Anita Behme). Bernoulli 21(3) (2015), 1697-1718, pdf. 
• [10] An Ordinal Pattern Approach to Detect and to Model Leverage Effects and Dependence Structures Between Financial Time Series. Stat. Papers 55(4) (2014), 919-931, pdf.
• [9] Generalization of the Blumenthal-Getoor Index to the Class of Homogeneous Diffusions With Jumps and Some Applications. Bernoulli 19(5A) (2013), 2010-2032. pdf.
• [8] COGARCH: Symbol, Generator and Characteristics. Rendiconti del Seminario Matematico 71(2) (2013), 251-260.
• [7] On Deterministic Markov Processes: Expandability and Related Topics. Markov Process. Related Fields 19 (2013), 693-720. pdf.
• [6] On the Semimartingale Nature of Feller Processes with Killing. Stoch. Proc. Appl. 122 (2012), 2758-2780. pdf.
• [5] SDEs Driven by SDE Solutions. Univ. J. Math. and Math. Sci. 1(2) (2012), 83-105. pdf.
• [4] Well-balanced Levy Driven Ornstein-Uhlenbeck Processes (with Jeannette Woerner). Statistics & Risk Modeling 28 (2011), 343–357. pdf.
• [3] A Classification of Deterministic Hunt Processes With Some Applications. Markov Process. Related Fields. 17(2) (2011), 259-276. pdf.
• [2] The Euler Scheme for Feller Processes (with Björn Böttcher). Stochastic Anal. Appl. 29(6) (2011), 1045-1056. pdf.
• [1] The Symbol Associated With the Solution of a Stochastic Differential Equation (with Rene Schilling). Electr. J. Probab. 15 (2010), 1369-1393. pdf.