STK4405 - Introduction to risk and reliability analysis

Schedule, syllabus and examination date

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Course content

STK4405 provides the foundation of probability theory needed to compute the reliability of a system, i.e., the probability that a system is functioning, when the reliabilities of the components which the system is composed of are known. Examples of systems are energy systems and networks. The course will also cover various examples of use of risk analysis for industrial applications. The material is illustrated by different simulation techniques. STK4405 is an introduction to more advanced studies, but is also suitable as a support course to studies in other fields and as further education for realists and engineers.

Learning outcome

After having completed the course you:

  • know what coherent systems are, and can represent such systems by paths and cuts
  • can compute the reliability for systems of components
  • know what discrete event simulation is, and can apply different simulation techniques to do computations related to risk- and reliability analysis
  • can compute the reliability importance of components
  • can perform a risk- and reliability analysis in various practical situations


Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.

Overlapping courses

10 credits with ST214 and 10 credits with ST105.

The information about overlaps is not complete. Contact the department for more information if necessary.


2 hours of lectures and 2 hours of exercises per week. Two compulsory assignments have to be handed in.


Two compulsory assignments need to be passed within given deadlines to be allowed to take the final exam. The mandatory assignment must be done with presentation software for mathematics (Latex). The objective is that the student becomes familiar with and master electronic tools for creating written mathematics and be able to present his/her own mathematical work in an electronic format.

Final mark based on written examination at the end of the semester.

Rules for compulsory assignments at the Department of Mathematics.

Examination support material

Permitted aids at the exam: approved calculator.

Information about approved calculators (Norwegian only)

Language of examination

Subjects taught in English will only offer the exam paper in English.

You may write your examination paper in Norwegian, Swedish, Danish or English.

Grading scale

Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.

Explanations and appeals

Resit an examination

This course offers both postponed and resit of examination. Read more:

Withdrawal from an examination

It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.


The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.

Facts about this course






Every autumn

The course replaces STK2400 - Introduction to risk and reliability analysis (continued) from Autumn 2014.


Every autumn

Teaching language

Norwegian (English on request)