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Statistical Inference

General Information
Programme:GEOENGINE (M. Sc.)
Semester:1st semester
Module:41220 Geomatics Methodology

Lecturer:Dr.-Ing. Friedrich W. Krumm
Course load:2 SWS
Room:M 24.01 (Geschw.-Scholl-Str. 24D)
Time:Tuesday, 11:30–13:00
Contents:The goal of this course is to impart knowledge on the most frequently applied adjustment models (model with observation equations, model with condition equations, mixed models) used in engineering disciplines and Geosciences, and their geometric interpretation. A minor part will treat probability density functions and hypothesis testing in linear models.
Pre-requisites:Elementary knowledge of mathematics and statistical inference from prior B.Sc. programs.
Recommended Literature:
  • Anderson J M and E M Mikhail (1998): Surveying. Theory and Practice. 7th edition. McGraw-Hill, ISBN 0-07-015914-9
  • Benning W (2011): Statistik in Geodäsie, Geoinformation und Bauwesen. 4th updated and enlarged edition, Wichmann, ISBN 978-3-87907-512-6
  • Beucher O (2007): Wahrscheinlichkeitsrechnung und Statistik mit MATLAB. Springer, ISBN 978-3-540-72155-0
  • Caspary W and K Wichmann (2007): Auswertung von Messdaten. Statistische Methoden für Geo- und Ingenieurwissenschaften. Oldenbourg, ISBN 978-3-486-58351-9
  • Chatterjee S and A S Hadi (2006): Regresson Analysis by Example. 4th edition. John Wiley & Sons, Inc., ISBN 13 978-0-471-74696-6
  • Ghilani Ch D (2010): Adjustment Computations. Spatial Data Analysis. 5th edition. John Wiley & Sons, Inc., ISBN 978-0-470-46491-5
  • Grafarend E W (2006): Linear and Nonlinear Models – Fixed Effects, Random Effects, and Mixed Models. de Gruyter, ISBN 978-3-11-016216-5
  • Jäger R et al. (2005): Klassische und robuste Ausgleichungsverfahren. Ein Leitfaden für Ausbildung und Praxis von Geodäten und Geoinformatikern. Wichmann, ISBN 3-87907-370-8
  • Koch K R (1999): Parameter Estimation and Hypothesis Testing in Linear Models. 2nd updated and enlarged edition. Springer, ISBN 978-3-540-65257-1
  • Koch K R (1997): Parameterschätzung und Hypothesentests in linearen Modellen. Dritte, bearbeitete Auflage. Dümmlers, ISBN 3-427-78923-3
  • Lay D C (2003): Linear Algebra and its Applications. 3rd edition. Addision-Wesley Publishing Company, ISBN 0-201-70970-8
  • Magnus J R and H Neudecker (1988): Matrix Differential Calculus with Applications in Statistics and Ecnonometrics. John Wiley & Sons Ltd., ISBN 0-471-91516-5
  • Mikhail E M and F Ackermann (1976): Observations and Least Squares. IEP-A Dun-Donnelley Publisher, ISBN 0-7002-2481-5
  • Niemeier, W (2008): Ausgleichungsrechnung, statistische Auswertemethoden. 2. überarbeitete und erweiterte Auflage. de Gruyter, ISBN 978-3-11-019055-7
  • Strang G (2005): Linear Algebra and its Applications. 3rd edition. Harcourt Brace & Company, ISBN 0030105676
  • Strang G (2009): Introduction to Linear Algebra. 4th edition. Wellesley-Cambridge Press, ISBN 078-0-9802327-1-4
  • Strang G (2010): MIT Course 18.06 on Linear Algebra
  • Strang G and K Borre (1997): Linear Algebra, Geodesy, and GPS. Wellesley-Cambridge Press, ISBN 0-9614088-6-3
  • Teunissen P J G (2003): Adjustment theory – an introduction. Delft University Press, ISBN 13 978-90-407-1974-5
  • Teunissen P J G (2006): Testing theory – an introduction. Delft University Press, ISBN 13 978-90-407-1975-2
  • Teunissen P J G (2001): Dynamic data processing – recursive least-squares. Delft University Press, ISBN 13 978-90-407-1976-9

Tutor:Dipl.-Ing. Matthias Roth
Course load:1 SWS
Room:M 24.01 (Geschw.-Scholl-Str. 24D)
Time:Tuesday, 14:45–15:30
Labs:The communication and administration of this course is mainly done via the ILIAS platform. All interested students are therefore asked to join the course there. You get the necessary password in the first lab.