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04444 Advanced Time Series Analysis
Danish title: Videregående tidsrækkeanalyse
Language: English Credit points: 5
Type: Open University
Language: English

Prerequisite: 04244/C0416
Recommended semester: 7th - 9th semester
Scope and form: Lectures and excercises
Examination: One or several reports are evaluated (13-scale)
Remarks: International course.
Contact person: Henrik Madsen, Building 321, Tel. +45 4525 3408, email hm@imm.dtu.dk, http://www.imm.dtu.dk/~hm
Jan Holst, tlf. +46 4610 9538, email: jahn@maths.Ith.se

Department: Informatics and Mathematical Modelling
Aim: To give an introduction to advanced time series analysis. The primary goal to give a thorough knowledge on modelling dynamic systems. Special attention is paid on non-linear and non-stationary systems, and the use of stochastic differential equations for modelling physical systems.
Contents: Non-linear time series models. Kernel estimators and time series analysis. Identification of non-linear models. State space models.
Prediction in non-linear models. State filtering. Stochastic differential equations. Estimation of linear and (some) non-linear stochastic differential equations. Experimental design for dynamic identification. Methods for tracking parameters in non-stationary time series. Examples of both non-linear and non-stationary models. Non-linear models and chaos.