Dr. Alexander Kreiß

Contact

Email: alexander.kreiss@math.uni-leipzig.de
Phone: +49 (0) 341-9732-328
Office: A437, Augusteum
Office Hours: Wednesdays at 10am or by appointment (just send me an email)

You can also find me on Github and Research Gate.

CV and Research Interests

In general, my research interests are mostly centred around the analysis of Statistical Models for Network Data with Covariates, particularly, Semi- and Non-parametric Methods, Dependence, Relational Event Models using counting processes (like Hawkes-Processes), and Bootstrap methods. In addition, I'm interested in Causal Inference, High-Dimensional Statistics, Quantile Regression, and Measurement Error Problems. It is particularly interesting if some of these areas overlap. I'm scientific member of the International Max Planck Research school (IMPRS) of the Max Planck Institut for Mathematics in the Sciences, I'm a co-organizer of the Seminar for Statistical Learning and Probability/Dynamical Systems and I'm affiliated with the HKMetrics Network.

Before coming to Leipzig, I was a PostDoc at the University of Mannheim in the group of Prof. Christoph Rothe (2019-2020), at KU Leuven in the group of Prof. Ingrid Van Keilegom (2020-2021) and at LSE in the group of Prof. Qiwei Yao (2020-2021).
I've studied Mathematics with minor subject Electronics at TU Darmstadt (Bachelor 2012, Master 2015) and at the University of Bristol (Master 2014). From October 2015 to April 2019 I was a PhD student at Heidelberg University under the supervision of Prof. Enno Mammen (Heidelberg) and Prof. Wolfgang Polonik (UC Davis). In my thesis Local Maximum Likelihood Estimation of Time Dependent Parameters in Dynamic Interaction Networks I've studied non-parametric estimation of the parameter function in a model for interactions among actors in a network. The results of my thesis have been published in two papers (Electronic Journal of Statistics and Bernoulli, see below). I was member of the RTG 1953 from 2015 to 2018.

Current Projects and Pre-Prints

• Common Drivers in Sparsely Interacting Hawkes Processes (under review), with Enno Mammen (Heidelberg University) and Wolfgang Polonik (UC Davis)
• Estimating Covariate Effects in Latent Space Models, with Keith Levin (University of Wisconsin, Madison)
• Estimating Average Treatment Effects in Regression Discontinuity Designs with Covariates under Minimal Assumptions (under review), with Patrick Kramer

Publications in Refereed Journals

• Efficient Quantile Regression under Censoring Using Laguerre Polynomials, with Ingrid Van Keilegom (Accepted at Bernoulli) - R-Code
• Testing For a Parametric Baseline-Intensity in Dynamic Interaction Networks, with Enno Mammen and Wolfgang Polonik (2023). Journal of Business and Economic Statistics 42(2), 457-468 - R-Code
• Inference in Regression Discontinuity Designs with High-Dimensional Covariates, with Christoph Rothe (2023). The Econometrics Journal 26(2), 105-123 - R-Code
• Semi-Parametric Estimation of Incubation and Generation Times by Means of Laguerre Polynomials, with Ingrid Van Keilegom (2022). Journal of Nonparametric Statistics 34(3), 570-606 - R-Code
• Correlation bounds, mixing and m-dependence under random time-varying network distances with an application to Cox-Processes (2021). Bernoulli 27(3), 1666-1694 - R-Code
• Nonparametric inference for continuous-time event counting and link-based dynamic network models, with Enno Mammen and Wolfgang Polonik (2019) Electronic Journal of Statistics 13(2), 2764-2829 - R-Code

Further Publications

• Book Review:Skyler J. Cranmer, Bruce A. Desmarais, Jason W. Morgan: Inferential network analysis (2022). Statistical Papers 63, 989–990
• PhD-Thesis: Local maximum likelihood estimation of time dependent parameters in dynamic interaction networks (2019). Heidelberg University

Programme-Code

• The R-package Hausal can be downloaded here from github. The packages contains functions that can simulate from a high-dimensional Hawkes process with common drivers and that can compute the estimators which we study theoretically in our paper Common Drivers in Sparsely Interacting Hawkes Processes. This package is currently under development such that the repository will be updated regularly.
• The R-package QuantRegLaguerre can be downloaded here from github. It provides implementations for the quantile regression methodology used in the paper Efficient Quantile Regression under Censoring Using Laguerre Polynomials written by Ingrid Van Keilegom and myself. It contains functions for computing the estimator, performing cross-validation, and finding the bootstrap estimate for the variance.
• The R-package HighDimRD which contains the methodology fromInference in Regression Discontinuity Designs with High-Dimensional Covariates can be downloaded from the github repository HighDimRD.
• The R-code used in the paper Semi-Parametric Estimation of Incubation and Generation Times by Means of Laguerre Polynomials is available on github in the repository SemiParametric-Laguerre.
• R and C-code which implements the procedures studied in my papers about counting processes on networks can be found on github in the repositories Estimate-Event-Network and Baseline-Estimation.

Advising

• Edward Eriksson, PhD Student: Edge exchangeable network models
• Michael Donath, PhD Student: Network models with covariates

Online Seminar Talks

• German Probability and Statistics Days, October 2021: Website - Video
• EcoDep Seminary, April 2021: Website - Video
• Bernoulli-IMS One World Symposium, August 2020: Website - Video

Teaching

• Summterterm 2025 (Leipzig University): Mathematische Statistik and Mathematische Statistik in der Praxis (Further Information on Moodle)
• Winterterm 2024/25 (Leipzig University): Statistical Network Analysis
• Winter 2024 (Max Planck Institute for Mathematics in the Sciences): For PhD-students: Ringvorlesung-Mathematical Statistics
• Summerterm 2024 (Leipzig University): Mathematische Statistik
• Winterterm 2023/24 (Leipzig University): Causal Inference in Statistics
• Summerterm 2023 (Leipzig University): Mathematische Statistik
• Winterterm 2022/23 (Leipzig University): Statistical Network Analysis
• Summerterm 2022 (Leipzig University): Mathematische Statistik
• Springterm 2019 (University of Mannheim): Econometrics of Networks