Stochastic Processes and Applied Probability

Time Stochastic Processes: Stochastic Time Series and Brownian Motion.

Random Matrices and Spectral Properties.

Theoretical Foundations and Contemporary Developments

Statistical Inference and Modelling

Regression Models using Linear or Nonlinear Equations.

Multivariate Analysis.

Statistical Learning and Artificial Intelligence.

Stochastic Modelling and SDEs

Stochastic Integration and Theory.

Solution Methods for SDEs and Applications in Finance and Economics.

Numerical Methods and Computational Strategies.

Parametric and Non-Parametric Methods

Common Parametric and Non-Parametric Tests.

High Dimensional Data Analysis.

Time Series Modelling and Prediction.