Research group Applied Stochastics
Applied Stochastics is part of the Institute of Mathematics, Astrophysics and Particle Physics of Radboud University Nijmegen. Our research group focuses on stochastics. Stochastics is the area of mathematics that deals with processes and objects where randomness plays a role.
For many complex systems in nature and society, randomness provides an efficient description with great explanatory and predictive power. Therefore, stochastics has a broad range of applications, in natural sciences such as statistical mechanics, biology and neuroscience, as well as in issues related to modern society such as financial markets, mobile phone networks, and operations research.
Besides applications, stochastics is also a mature area of pure mathematics providing powerful techniques in areas such as e.g. functional analysis, partial differential equations, geometry of metric spaces, number theory, etc.
Stochastics also includes the vast area of statistics. In statistics, starting from data, one develops methods to derive as much information as possible about the underlying distribution. This can be via the estimation and hypothesis testing of parameters or via the empirical distribution.