Master's Programme in Mathematical Statistics 120 credits

About the programme
The amount of data collected in today's society is increasing explosively. It is a major challenge for companies and organisations to process all this material and draw relevant conclusions. In the Master's programme in Mathematical Statistics you learn how to analyse complex data. People with such knowledge are in great demand in the labour market, and forecasts show that the need is also growing in the future.
Active researcher as mentor
Wide range of courses
Good career opportunities
While studying
The Master's programme in Mathematical Statistics at Umeå University will help you to realise your highest professional aspirations!
We pride ourselves on taking good care of our students and offering a friendly, informal and non-hierarchical academic culture. The programme starts with a course focusing on achieving your goals through advanced studies and research in Mathematical Statistics. In the course, you will be assigned an active researcher as a personal mentor as part of our innovative mentorship scheme.
Towards the end of your studies, you will have a wide variety of thesis projects to choose from and work on cutting-edge topics under the supervision of one of our young and highly successful researchers.
Read more about the department and Umeå University
Areas and topics for the master's thesis
Educate yourself and write a master's thesis for an active researcher in one of the following areas:
- Change-point detection for point processes
- Edge correction for Voronoi-based intensity estimators
- Movement analysis with a focus on traffic data
Biostatistics and life science
- Analysis of large and complex data with applications in health and life sciences
- Functional clustering methods for climate reconstruction
- Shape constrained generalized additive models for complex datasets
- Advancing cosmic ray analysis: an open-source android neutron detector module
Mathematical Foundations of AI
- Total variation regularized optimization problems on measure spaces
- Equivariance and augmentation
A wide range of courses
Before writing your thesis, you will build up your mathematical and computational skills by taking courses from our catalogue of advanced courses in mathematical statistics.
You may also advantageously combine your courses in mathematical statistics with courses in mathematics (especially financial mathematics), computer science, the natural or social sciences, economics and finance, or other areas of interest.
Courses within the programme
Courses in Mathematical Statistics
- Statistical learning with high dimensional data analysis, 7.5 credits
- Design of Experiments and Advanced Statistical Modelling, 15 credits
- Statistical Inference, 7.5 credits
- Multivariate Data Analysis, 7.5 credits
- Probability Theory, 7.5 credits
- Research in the Mathematical Sciences, 7.5 credits
- Current Research Topics in Mathematical Statistics, 7.5 credits
- Stationary stochastic processes,7.5 credits
- Time Series Analysis, 7.5 credits
- Reliability Theory, 7.5 credits
- Advanced Probability Theory, 7.5 credits
- Statistics in Genetics, 7.5 credits
Elective courses
There is a lot of freedom to mix and match both statistical courses from the programme and relevant courses from mathematics, statistics and computer science: if there is an exciting course that you want to sub in for one of the programme courses listed above, there is considerable latitude to do so.
The elective courses listed below, most of which are from our sister programme in Mathematics, are alternatives you may want to consider. Your mentor will help and advise you on choosing a tailor-made set of courses from the available options.
- Enterprise Risk Management, 15 credits
- Financial Mathematics, 7 credits
- Monte Carlo Methods for Financial Applications, 7.5 credits
- Stochastic Differential Equations, 7.5 credits
- A Mathematical Introduction to Machine Learning, 7.5 credits
- Deep learning in Finance, 7.5 credits
- Non-life Insurance Mathematics, 7.5 credits
- Investment under Risk and Uncertainty, 7.5 credits
Degree projects
- Thesis Project for the Degree of Master of Science in Mathematical Statistics, 15 credits
- Thesis Project for the Degree of Master of Science in Mathematical Statistics, 30 credits
Future and career opportunities
In modern society, statistics and analytics play a very important role. An education in mathematical statistics is the starting point to a career in any field where statistics are used. Statisticians are sought-after in a wide range of sectors such as the tech industry, in finance and the insurance sector, in the pharmaceutical industry and in medical research. Other important employers for statisticians are governmental agencies, and in general statisticians are needed whenever there are large amounts of data to analyze.
Former graduates today work at a large range of companies, such as Klarna, Nasdaq, H&M, Cytiva, Swedbank, SCB, Volvo, Ericsson, Komatsu Forest, Vägverket, among others.
Your path to a research career
A master's degree in mathematical statistics is also a perfect preparation for a research career, with a PhD being the next step in that direction. If you are interested in going down that road, your mentor will provide you with advice and support for applications to doctoral programmes in Sweden and abroad. You can read more about doctoral studies in mathematical statistics at Umeå here:
Doctoral studies in mathematical statistics
Programme director
