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GRADUATE INSTITUTE of NATURAL and APPLIED SCIENCES / DEPARTMENT of GEOMATICS ENGINEERING
Doctorate
Course Catalog
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FBE
GRADUATE INSTITUTE of NATURAL and APPLIED SCIENCES / DEPARTMENT of GEOMATICS ENGINEERING / Doctorate
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JDZ7210Parameter Est. For Linear Models in Geodesy3+0+0ECTS:7.5
Year / SemesterSpring Semester
Level of CourseThird Cycle
Status Elective
DepartmentDEPARTMENT of GEOMATICS ENGINEERING
Prerequisites and co-requisitesNone
Mode of DeliveryFace to face, Practical
Contact Hours14 weeks - 3 hours of lectures per week
LecturerProf. Dr. Mualla YALÇINKAYA
Co-LecturerNone
Language of instructionTurkish
Professional practise ( internship ) None
 
The aim of the course:
Examine parameter estimation methods for linear models in geodetic problems.
 
Programme OutcomesCTPOTOA
Upon successful completion of the course, the students will be able to :
PO - 1 : learn parameter estimation methods1,2,51,3
PO - 2 : examine Gauss-Markoff Model and its applications in Geodesy in detail1,2,3,51,3
PO - 3 : study on linearization of geodetic problems and Least-squares method1,21,3
PO - 4 : research on special Gauss-Markoff Models and applications in Geodesy.1,2,3,51,3,5
CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), PO : Learning Outcome

 
Contents of the Course
Methods of Estimating Parameter, Gauss-Markoff Model and applications in Geodesy, Definition of linearization, Method of Least Squares, Maximum-Likelihood method, Recursive parameter estimation, Special Gauss-Markoff Models (polynomial model, analysis of variance) , Regression model, Estimation of variance and covariance components, Robust parameter estimation.
 
Course Syllabus
 WeekSubjectRelated Notes / Files
 Week 1Introduction for Estimating Parameter on geodetic linear models.
 Week 2Methods of Estimating Parameter,
 Week 3Gauss-Markoff Model and applications in Geodesy.
 Week 4Definition of linearization.
 Week 5Method of Least Squares.
 Week 6Maximum-Likelihood method.
 Week 7Recursive parameter estimation.
 Week 8Mid-term exam
 Week 9Special Gauss-Markoff Models (polynomial model, analysis of variance).
 Week 10Regression model.
 Week 11Estimation of variance and covariance components.
 Week 12Robust parameter estimation.
 Week 13Repeat
 Week 14Presentation of exercises.
 Week 15Duties presentation.
 Week 16End-of-term exam
 
Textbook / Material
1Koch, K.R. 1999; Parameter Estimation and Hypothesis Testing in Linear Models, Springer-Verlag, Berlin, Germany.
 
Recommended Reading
1Sjöberg, L.E. 1985; Adjustment and variance-covariance component estimation with a singular covariance matrix. Z Vermessunswesen, 110: 145-151.
2Kampmann, G. 1994; Robuste Deformationsanalyse mittels balancierter Ausgleichung. Allgemeine Vermessungs Nachrichten, 101: 8-17.
 
Method of Assessment
Type of assessmentWeek NoDate

Duration (hours)Weight (%)
Mid-term exam 9 2 30
Presentation 14 1 10
Homework/Assignment/Term-paper 5
6
7
8
9
10
11
12
18 10
End-of-term exam 15 2 50
 
Student Work Load and its Distribution
Type of workDuration (hours pw)

No of weeks / Number of activity

Hours in total per term
Yüz yüze eğitim 3 14 42
Sınıf dışı çalışma 3 10 30
Arasınav için hazırlık 10 1 10
Arasınav 2 1 2
Ödev 8 8 64
Dönem sonu sınavı için hazırlık 8 1 8
Dönem sonu sınavı 2 1 2
Diğer 1 10 3 30
Total work load188