The stochastic analysis of Lévy processes constitutes a robust framework for modelling random phenomena exhibiting both continuous diffusion and discontinuous jumps. Lévy processes are characterised ...

Probability theory provides the mathematical language for quantifying uncertainty and analysing random phenomena. Its foundations rest on measure-theoretic notions of probability spaces and σ-algebras ...

Randomness is inherent to real world problems so faculty research in this area includes the development and application of probabilistic tools to model, predict, and analyze randomness in applications ...

Prerequisites: enrollment in the MSSP program or CASMA 575 or CASMA 576 or CASMA 578 or CASMA 581 or CASMA 582 or equivalent; or consent of instructor. – Rigorous introduction to applied statistical ...

Elementary probability theory including random variables, p.d.f., c.d.f., generating functions, law of large numbers. Elementary stochastic process theory including covariance and power spectral ...