This PhD position at Delft University of Technology (TU Delft) focuses on developing advanced mathematical statistics methods for the analysis of temporal data, with a particular emphasis on monitoring procedures for detecting structural breaks. These methods are crucial for timely and accurate event detection in technical fields such as power system protection and manufacturing plant maintenance, where distinguishing signal from noise and quantifying uncertainty are essential. The project centers on mathematical theory, leveraging asymptotic analysis and nonparametric modeling to enable rigorous uncertainty analysis and faster anomaly detection. The successful candidate will join the Statistics section at the Delft Institute of Applied Mathematics (DIAM), working under the supervision of Dr. Fabian Mies and Prof. G. Jongbloed. The research group is active in a broad spectrum of statistical theory and methodology, collaborating with other departments and industry partners. The department fosters informal knowledge exchange through seminars and social events, and TU Delft offers a vibrant interdisciplinary research environment addressing societal challenges such as climate change, energy transition, and artificial intelligence. As a PhD candidate, you will collaborate with experienced researchers, attend conferences, and contribute to education and possibly supervise bachelor and master students. The position is designed to support both research and personal development, with access to excellent labs, facilities, and the TU Delft Graduate School. Employment is for four years, split into two contracts (1.5 years and 2.5 years), with salary and benefits according to Dutch university standards, including holiday allowance, end-of-year bonus, and a customisable compensation package. Applicants must have an excellent Master's degree in mathematics, strong knowledge of probability theory, and preferably expertise in asymptotic and nonparametric statistics. English proficiency is required for participation in courses and scientific writing. The application process is online only, with a deadline of 31 October 2025. TU Delft provides support for international relocation and integration, including a Dual Career Programme for partners. The university values diversity and innovation, offering a supportive and inclusive environment for all researchers.