HF1012 Mathematical Statistics 6.0 credits

Matematisk statistik

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Course information

Content and learning outcomes

Course contents *

  • Statistics: Descriptive statistics.
  • Sets and combinatorics. Probability theory, basic notations.
  • Sample spaces, dependent and independent events. Conditional probability. The theorem of total probability.
  • Stochastic variables. Expected value, variance and standard deviation.
  • Discrete stochastic variables.
  • Uniform, hypergeometric distribution.
  • The binominal and Poisson distributions.
  • Continuous random variables. Uniform distribution, exponential and normal distribution
  • Functions of random variables. The central limit theorem.
  • Point estimation and confidence intervals for means.  
  • Covariance, correlation, regression line
  • Markov chains
  • Introduction to M/M/m queueing systems  

Intended learning outcomes *

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Course Disposition

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Literature and preparations

Specific prerequisites *

Mathematics corresponding to Linear algebra and calculus in one variable.

Recommended prerequisites

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Equipment

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Literature

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Examination and completion

Grading scale *

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

Examination *

  • LAB1 - Lab Work, 2.0 credits, Grading scale: P, F
  • TEN1 - Examination, 4.0 credits, Grading scale: 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

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Opportunity to raise an approved grade via renewed examination

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Examiner

Armin Halilovic

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 HF1012

Offered by

CBH/Biomedical Engineering and Health Systems

Main field of study *

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Education cycle *

First cycle

Add-on studies

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Contact

Armin Halilovic (armin.halilovic@sth.kth.se)

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.