# Syllabus for Inference Theory I

Inferensteori I

## Syllabus

• 5 credits
• Course code: 1MS035
• Education cycle: First cycle
• Main field(s) of study and in-depth level: Mathematics G1F
• Grading system: Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
• Established: 2012-03-08
• Established by:
• Revised: 2021-10-18
• Revised by: The Faculty Board of Science and Technology
• Applies from: Autumn 2022
• Entry requirements:

Participation in Probability Theory I.

• Responsible department: Department of Mathematics

## Learning outcomes

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

• account for the bases of statistical studies and have knowledge of some methods for describing statistics;
• account for basic inference theoretical concepts and definitions;
• illustrate and interpret important concepts in concrete situations;
• translate problems from relevant application fields into a form appropriate for statistical treatment, choose appropriate model and solution method;
• interpret and evaluate received results;
• use statistical software;
• use non-parametric statistical methods;
• present statistical arguments to others.

## Content

Critical review of how statistics are presented and interpreted. General about statistical studies. Basic theory of point and interval estimations and hypothesis test. Parametric and non-parametric statistical methods. Statistical software. A statistical study in project form.

## Instruction

Lectures, teaching sessions, calculation exercises and computer exercises.

## Assessment

Written examination (4 credits) at the end of the course combined with written assignments during the course according to instructions delivered at course start, and implementation of the project work of the course (1 credit). The project work contains oral and written presentation.

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.

## Other directives

The course can not be included in higher education qualification together with any of the courses Probability and statistics (1MS005) or Inference theory (1MS002).

Applies from: Autumn 2022

Some titles may be available electronically through the University library.

#### Recommended literature

• Alm, Sven Erick; Britton, Tom Stokastik : Sannolikhetsteori och statistikteori med tillämpningar

Liber, 2008

Find in the library

• Wackerly, Dennis D.; Mendenhall, William; Scheaffer, Richard L. Mathematical statistics with applications

7. ed.: Southbank: Thomson Learning, 2008

Find in the library