Exercises and computer exercises can be found HERE. All lectures in Lund can be found here.
The course starts September 4th (full day of lectures) in Denmark. The department will rent a number of cars/minibuses for our transportation (we need drivers!). The cars will leave from Lund at around 8:30 (sharp), and be back around 17:30. The cars will leave from the parking lot south of the mathematics building (MH in the map).
- 10/9 The lecture in Lund on September 11th will be in MH:228 between 10-12 and MH:362A between 13-16
- 4/9 The slides from lecture 1 can be found here, presentation used by Erik
- 30/8 The doodle for the first lecture in Denmark is online, please sign up here. Please indicate if you can drive when signing up, as we may need two cars/minibusses to go to DTU.
Department: Division of Mathematical Statistics at the Centre for Mathematical Sciences, Lund Institute of Technology together with Informatics and Mathematical Modelling (IMM), Technical University of Denmark, Lyngby.
Credits: 7.5 ECTS credits.
Prerequisites: Mathematical Statistics, basic course. Furthermore, it is recommendable to have taken a course on Stationary Processes, and necessary to have taken a basic course in Time Series Analysis, e.g. FMS051 Time Series Analysis / Tidsserieanalys in Lund or 02417 Time Series Analysis in Lyngby.
Course program: Can be found HERE.
A short description of the contents of the course:The graduate course in Advanced Time Series Analysis has its target audience amongst students with technical or natural science background and with adequate basic knowledge in mathematical statistics. The primary goal to give a thorough knowledge on modeling dynamic systems. A special attention is paid to non-linear and non-stationary systems, and the use of stochastic differential equations for modeling physical systems. In more detail:
- Non-linear time series models; Generalized transfer functions
- Kernel estimators and time series analysis
- Non-parametric models and modeling techniques
- Identification of non-linear models, cumulants and polyspectra
- Parameter estimation in non-linear models, Case study
- State space models and state filtering
- Stochastic differential equations (SDEs), Ito calculus, Exact and approximate filters
- Estimation of linear and (some) non-linear SDEs
- Modelling using SDEs
- Methods for tracking parameters in non-stationary time series.
- Experimental design for dynamic system identification.
- Prediction in non-linear models
Exercises during the lectures: In the afternoon during the lecture days, one hour will be used for you working with small exercises to be solved without computer. These exercises will be delivered during the lecture days.
Computer exercises: During the course the computer exercises will be delivered in connection with the lectures. They are also downloadable from the course homepage.
The computer exercises will in Lund be guided by Erik Lindström, phone: +46 46 2224578.