Stochastic analysis

Blue and yellow graph on stock market monitor

The research of this group is mainly concerned with mathematical and statistical modelling of systems evolving randomly in space and time. The group has a particularly strong reputation and interest in developing and applying the theory and methods of stochastic processes to financial risk management.

Group members

Research interests

The research interests of the Stochastic Analysis group cover a number of different interrelated areas.

Stochastic processes

  • General theory of Stochastic Processes
  • Optimal stochastic control
  • Fractional Brownian motion
  • Stochastic differential equations
  • Enlargements of filtration

Time series

  • Inference for discrete values time series
  • Large sample properties of estimation
  • Continuous time limits of discrete time processes
  • Applications in policy intervention
  • Application to high frequency financial series

Extreme value theory

  • Multivariate extremes
  • Spatial and temporal modelling
  • Computational techniques for inference
  • Applications to environmental and climate extremes
  • Risk analysis and rare event simulation