Analysis of Time Series

10 credits

Syllabus, Master's level, 1MS014

A revised version of the syllabus is available.
Education cycle
Second cycle
Main field(s) of study and in-depth level
Financial Mathematics A1N, Mathematics A1N
Grading system
Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
Finalised by
The Faculty Board of Science and Technology, 30 August 2018
Responsible department
Department of Mathematics

Entry requirements

120 credits including Inference Theory I, or Probability and Statistics and Stochastic Modelling. Proficiency in English equivalent to the Swedish upper secondary course English 6.

Learning outcomes

On completion of the course, the student should be able to:

  • give an account for the concepts stationary time series and autocorrelation and know how to estimate autocorrelation based on an observed time series;
  • apply methods for estimation of trend and seasonal variation in time series;
  • estimate parameters of ARIMA-processes and assess the validity of the fitted models.
  • make predictions, in particular for ARIMA-processes;
  • explain the foundations of spectral theory and how to estimate spectral density;
  • evaluate results from statistical computer software (for example R) for model fitting of time series.


Stationary time series. ARIMA processes. Box-Jenkin's method for model adaptation. Prediction. Seasonal modelling. Spectral theory, smoothing methods for spectral estimation. Software for analysis of time series. Overview of multivariate models, Kalman-filters och non-linear models such as ARCH- and GARCH-models.


Lectures, problem solving sessions and computer-assisted laboratory work.


Written examination (8 credit points) at the end of the course. Assignments and laboratory work (2 credit points) during the course.

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.