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AH2917 Advanced Theory of Errors 7.5 credits

Advanced topics on statistical analysis of measurements errors.

Course offerings are missing for current or upcoming semesters.
Headings with content from the Course syllabus AH2917 (Autumn 2010–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

  • Gralized matrix inverses, minimum-norm inverses, least squares inverses and minimum-norm least squares inverses
  • Free network adjustment and its interpretations
  • Variance-covariance components. Helmert’s method and BQUE.
  • Gross error detection. Data snooping
  • Local redundancies. Concept of reliability 

Project work is to adjust and analyze a two-dimensional trangulation network. The work and the results must be presented in a project report. 

Intended learning outcomes

After completing the course the student should

  • be able to calculate generalized matrix inverses and apply them in free network adjustment
  • understand the concept of variance-covariance components and how they can be estimated
  • be able to detect gross errors in measurement data

Literature and preparations

Specific prerequisites

For single course students:

  • A completed Bachelor of Science in Engineering or 180 credits academic studies in the field of Technical Science, Economics or Planning and documented proficiency in English corresponding to English B.

For program students:

  •  AH2921 Adjustment theory or equivalent

Recommended prerequisites

For single course students:

  • A completed Bachelor of Science in Engineering or 180 credits academic studies in the field of Technical Science, Economics or Planning and documented proficiency in English corresponding to English B.

For program students:

  • AH2921 Adjustment theory or equivalent

Equipment

No information inserted

Literature

Fan, H. (2006). Theory of Errors and Least Squares Adjustment. KTH.

Examination and completion

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

Grading scale

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

Examination

  • PRO1 - Project, 7.5 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.

Approved project report (PRO1; 7.5 cr)

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted

Examiner

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 room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

Main field of study

Built Environment

Education cycle

Second cycle

Add-on studies

No information inserted

Contact

Huaan Fan, huaan.fan@abe.kth.se, 08-790 7340