AH2917 Advanced Theory of Errors 7.5 credits

Advanced Theory of Errors

Advanced topics on statistical analysis of measurements errors.

Offering and execution

Course offering missing for current semester as well as for previous and coming semesters

Course information

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

Course Disposition

Lectures:  16 h

Project work:  60 h

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

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

Huaan Fan

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 AH2917

Offered by

ABE/Geodesy and Satellite Positioning

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

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.