Robust Estimation Methods In Geodesy

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

JJM513 Estimation for Geodetic Parameters and Linear Hypothesis Testing, JJM509 Advanced Adjustment

Course Contents

Robust statistics. Basic concepts and properties. Robust estimation of linear models. Breaking Point Concept. Robust M-Estimation Methods and Confidence Intervals. Equivalent redundancy design. The concept of outliers.Test of robustness for outliers. Elimination outliers and geodetic applications. Localization of outliers in geodetic networks. Localization of outliers in the data for photogrammetric purposes. 2D and 3D coordinate transformations. The localization of outlier coordinate pairs. Robust Deformation Analysis.

Weekly Schedule

1) The basic concepts in the Robust statistic and its features
2) Robust Estimation functions.
3) Comparing according to Least Squares method for Robust estimation. Concept of Breaking Point
4) Robust M-estimators and their properties: Least Absolute Total, Huber, Modified Huber, Beaton Tukey and etc.
5) Confidence Intervals estimators and Equal Redundancy designs
6) The concept of outliers, robustness of outliers tests
7) Localization of outliers in geodetic networks. Results of Robust estimation.
8) Midterm examination/Assessment
9) Localization of outliers in geodetic networks. The Results of equal redunndancy design.
10) The localization of Outliers for photogrammetric data.
11) Two-and three-dimensional coordinate transformations and the localization of outlier coordinate pairs.
12) Applications of robust estimation for High-grade general coordinate transformations.
13) Robust Deformation Analysis.
14) Robust parameter estimation in Geometric improving operations of Satellite photographs
15) Final examination

Recommended or Required Reading

1- - Huber, P.J., (1981), Robust Statistic, John Willey and Sons, New York, Chichester.
2- - Seber, G.A.F. (1984) Multivariate Observations, John Willey and Sons, New York.
3- - Ata, M., (1999) Statik Deformasyon Analizinde Robust Kestirim Yöntemlerinin Kullanılması Üzerine Bir Araştırma, YTÜ-FBE, Doktora Tezi, İstanbul.
4- - Aksoy, A. (1987) Jeodezik Değerlerin Matematik-İstatistik Testlerle İrdelenmesi, Türkiye 1. Harita Bilimsel ve Teknik Kurultayı, s.559, Ankara.

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Discussion
4) Group Study
5) Self Study
6) Problem Solving

Assessment Methods and Criteria

Contribution of Presentation/Seminar to Course Grade	30%
Contribution of Final Examination to Course Grade	70%
Total	100%

Language of Instruction

Turkish

Work Placement(s)

Not Required