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Blekinge Institute of Technology
Department of Mathematics and Natural Science

Revision: 3
Reg.no:


Course syllabus

Mathematical Statistics

Mathematical Statistics

7.5 credits (7,5 högskolepoäng)

Course code: MS1411
Main field of study: The course is not included in any main field of study at BTH
Subject: Mathematics statistics
Disciplinary domain: Natural sciences
Education level: First-cycle
Specialization: G1F - First cycle, has less than 60 credits in first-cycle course/s as entry requirements

Language of instruction: English
Applies from: 2017-09-04
Approved: 2017-09-04

1. Descision

This course is established by Head of Department of Mathematics and Natural Science 2015-09-30. The course syllabus is approved by Head of Department of Mathematics and Natural Science 2017-09-04 and applies from 2017-09-04.

2. Entry requirements

15 ECTS in Mathematics accomplished.

3. Objective and content

3.1 Objective

The purpose of the course is to obtain knowledge in probability theory as well as statistical theory and methods. Emphasis lies in probability theory and stochastic processes with technical applications.

3.2 Content

  • Combinatorics
  • Discrete and continuous stochastic variables in one dimension
  • Orientation about multivariate stochastic variables, independence
  • Various distributions, especially geometric, binomial, exponential, Poisson and normal (Gaussian) distributions as well as approximations
  • Expected value, variance, standard deviation, covariance, correlation
  • Markov chains
  • Markov processes in continuous time with applications in reliability theory
  • Point estimation including the ML-method
  • Interval estimation
  • Hypothesis testing
  • Simple linear regression
  • Applications in different technical fields

4. Learning outcomes

The following learning outcomes are examined in the course:

4.1. Knowledge and understanding

After completion of the course, the student should:

  • master fundamental calculations with common one- and two-dimensional distributions, normal approximation included, as calculation of the mean, variance, standard deviation and hazard function.
  • master the calculation of reliability of series and parallel circuits.
  • know basic probability theory including basic theory for Markov processes.
  • know statistical principles for point and interval estimation, tests of hypotheses and linear regression.
  • know some of the most important applications of probability theory and statistical theory.

***Skills and abilities***

After completion of the course, the student should:

  • be able to solve simple problems in reliability theory.
  • be able to formulate and solve statistical problems in written form.
  • know some of the most important terms of probability theory and statistical theory.

4.2. Judgement and approach

After completion of the course, the student should:

  • be able to analyse, perform synthesis and to evaluate the results from a reasonability perspective.

5. Learning activities

Teaching is conducted through lectures and exercises. The course assumes that the student independently solves exercises throughout the course.

6. Assessment and grading

Modes of examinations of the course

Code Module Credit Grade
1705 Examination 7.5 credits AF

The course will be graded A Excellent, B Very good, C Good, D Satisfactory, E Sufficient, FX Failed result, a little more work required, F Fail.

The information before a course occasion states the assessment criteria and make explicit in which modes of examination that the learning outcomes are assessed.

An examiner can, after consulting the Disability Advisor at BTH, decide on a customized examination form for a student with a long-term disability to be provided with an examination equivalent to one given to a student who is not disabled.

7. Course evaluation

The course evaluation should be carried out in line with BTH:s course evaluation template and process.

8. Restrictions regarding degree

The course can form part of a degree but not together with another course the content of which completely or partly corresponds with the contents of this course.

9. Course literature and other materials of instruction

Walpole, R.E., Myers, R.H., Myers, S.L. & Ye, K. (2012 or later). Probability and Statistics for engineers and scientists. 9:th edition or later. Pearson. ISBN 0-321-74823-9.

Material from the Department of Mathematics and Natural Science.

This is not a legal document. If you would like a copy of the legal decision regarding this course plan, contact the registrar at Blekinge Institute of Technology.