Mathematical and Statistical Modelling

About the research group

The three main focus areas of the group of Mathematical and Statistical Modelling are Mathematics, Business Mathematics, and Statistics. The group makes research especially using Mathematical and Statistical Modeling.

The members of the group are professors, post-doc researchers, and PhD students. The group has active national and international research collaboration with several researchers from different national and foreign Universities, scientific and other organizations. The members of the group publish their research mainly in international refereed journals such as Bernouilli, Journal of Functional Analysis, Journal für die Reine und Angewandte Mathematik, Mathematische Annalen, Review of Financial Studies, Stochastic Processes and their Applications.

The leader of the research group is Professor Seppo Hassi.

Research themes

Mathematics

Algebraic curves and function fields over finite fields
Algebraic number theory, character sums over finite fields
Algebraic coding theory, cyclic codes and algebraic geometry codes
Bounded and unbounded operators in Hilbert, Pontryagin and Krein spaces
Boundary value problems, moment problems, interpolation problems
Boundary triple and boundary pair techniques
Classes of complex functions and their representations
Lebesgue type decompositions for forms and linear operators
Mathematical system theory in infinite-dimensional spaces
Realization theory for discrete and continuous time systems
Reproducing kernel spaces in Hilbert and Pontryagin space setting
Semibounded and sectorial forms and their representations
Spectral theory and associated complex functions
Weyl functions, transfer functions and their realizations

Business Mathematics

Financial engineering
Fractional Brownian motion
Gaussian processes
Mathematical finance
Statistics of stochastic processes
Stochastic analysis
Volterra processes

Statistics

Financial econometrics and time series
Financial event study methodology
Multivariate statistics
Non-parametric statistics
Structural equation models

News and events

30.05.2023 Technology

Better treatment decisions through statistical methods

07.09.2021 Economy

Dissertation: Which apartment types and regions are most risky in Finland?

01.04.2021

Dissertation: Generalized Schur functions and passive discrete-time realizations

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Publications

Publications in the SoleCRIS research database

Contributions to Mathematics and Statistics.
Essays in honor of Seppo Hassi

H.S.V. de Snoo & H.L. Wietsma (toim.)

Professori Seppo Hassin syntymäpäivän kunniaksi kirjoitettu juhlakirja sisältää 13 tieteellistä artikkelia. Kirja keskittyy kolmeen eri aiheeseen: funktionaalinen analyysi ja operaattoriteoria, reuna-arvo-ongelmat, tilastotiede, stokastiikka ja matematiikan historia.

Acta Wasaensia 462. Vaasan yliopisto. 2021
Julkaisun pdf