Solutions to the labs and project of the course FMSN45 in LTH. Some of the topics are: Studies of ARMA-processes. Non-stationary models, slowly decreasing dependence. Transformations. Optimal prediction and reconstruction of processes. State representation, principle of orthogonality, and Kalman filtering. Parameter estimation: Least squares and Maximum likelihood methods as well as recursive and adaptive variants. Non-parametric methods,covariance estimation, spectral estimation. An orientation on robust methods and detection of outliers.
Figure: Simulated Box-Jenkins model with dynamic parameters, estimated and predicted via a Kalman fiter.
In particular, you find our solution to the interesting (and rather tough for that matter) project in Time-Series-Analysis/CourseMaterial/Code/ProjFinal/. The final paper can be found here and most of the code is found here.
In collaboration with @DavyThan.