Stochastik

Publications and Preprints

Second-order properties for planar Mondrian tessellations (with Tom Kaufmann, Kathrin Meier and Christoph Thäle), Methodology and Computing in Applied Probability, 2023+.

Approaching the coupon collector's problem with group drawings via Stein's method (with Christoph Thäle), Journal of Applied Probability , 2023+.

Variance asymptotics and central limit theory for geometric functionals of Poisson cylinder processes (with Matthias Schulte and Christoph Thäle), Electronic Journal of Probability 27 , 2022.

Concentration inequalities for functionals of Poisson cylinder processes (with Anastas Baci, Anna Gusakova, Christoph Thäle), Electron. J. Probab, 2022.

A central limit theorem for the number of isolated vertices in a preferential attachment random graph, Preprint at arXiv , 2019.

Fluctuations in a general preferential attachment model via Stein's method (with Hanna Döring and Marcel Ortgiese), Random Structures & Algorithms , 2019.

Recent talks

"Poisson cylinder processes", SPP Workshop "Random spatial networks" in Bonn, March 15, 2022.

"Poisson cylinder processes: Variance asymptotics and central limit theory" (online), Probability Seminar Bath, University of Bath, February 4, 2022.

"Central limit theory for Poisson cylinder processes " (online), Groningen Probability and Statistics Seminar, University of Groningen, January 14, 2022.

Teaching

Winter Term 2021/22
One exercise class for "Einführung in die Statistik für Geographen"
Summer Term 2021
Two exercise classes for "Lineare Algebra II"
Winter Term 2020/21
Lecture "Zufallsgraphen"

Contact

Carina Betken
Faculty of Mathematics
Ruhr University Bochum
IB 2/121
44780 Bochum
Phone: 0234 - 32 - 23809
e-mail: carina.betken"at"rub.de