### Choose semester and course offering

Choose semester and course offering to see information from the correct course syllabus and course offering.

## Content and learning outcomes

### Course contents

General introduction to time series. Stationary and non-stationary models, e.g. ARMA- and ARIMA-models. Projections and prediction of time series. Spectral theory. Estimation of parameters and spectra. Models on state-space form and Kalman filtering.

### Intended learning outcomes

The goal of the course is to provide a basic understanding of theoretical and practical tools for analyzing time series. Computer-aided projects form an essential learning activity.

In order to pass the course, the student shall be able to:

• solve problems that require knowledge and understanding of basic concepts and models in the theory of time series, in particular models of ARMA type,
• apply theoretical and practical tools to analyze time series data, quantify uncertainty in estimated models and predict future values based on observed data,
• apply mathematical theory to analyze and explain properties of different time series models, and
• account for conclusions from analyses of time series data and critically evaluate such analyses from a scientific perspective.

### Course Disposition

No information inserted

## Literature and preparations

### Specific prerequisites

Completed basic course in probability theory and mathematical statistics (SF1918, SF1922 or equivalent).

### Recommended prerequisites

Completed courses in

• Numerical methods(SF1544, Sf1545 or similar),
• Differential equations(SF1633, SF1683 or similar),
• Probability andstatistics (SF2940 or similar) and
• Regression analysis (SF2930 or similar).

### Equipment

No information inserted

## Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

A, B, C, D, E, FX, F

### Examination

• OVN1 - Assignments, 3,0 hp, betygsskala: P, F
• TENA - Examination, 4,5 hp, betygsskala: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

### Opportunity to complete the requirements via supplementary examination

No information inserted

### Opportunity to raise an approved grade via renewed examination

No information inserted

### Ethical approach

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

## Further information

### Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web SF2943

SCI/Mathematics

Mathematics

Second cycle