Course Name
|
Turkish |
Hata Teorisi ve Parametre Tahmini
|
| English |
Theory of Errors and Parameter Estimation |
Course Code
|
JDF 232E |
Credit |
Lecture
(hour/week) |
Recitation
(hour/week) |
Laboratory
(hour/week) |
| Semester |
4
|
3 |
3 |
- |
- |
| Course Language |
English |
| Course Coordinator |
Mustafa Tevfik Özlüdemir
|
| Course Objectives |
1) To teach the use of theory of errors in geodetic applications,
2) To provide the applications of error propagation law in terms of accuracy measures,
3) To give an ability to apply parameter estimation methods in geodetic applications.
|
| Course Description |
Geodetic measurements and measurements error, A measurement as a random variable, and its relations with probability theory, Expectation value, variance, covariance, coloration, normal distribution concepts, Error propagation law for direct and indirect measurements, weights of geodetic measurements, Linear models for parameter estimations: Gauss-Markof model, least squares method, Maximum likelihood method, Application of Least squares method on direct and indirect measurements: Functional and stochastic models as the mathematics model of adjustment, Error computation in adjustment with least squares method: unit variance, standart deviation of a measurement, coefficients of weights of unknown parameters, and Tienstra rule
|
| Course Outcomes |
1) Understand the role of fundamental probability theory in geodesy
2) Learn the fundamentals of random variability and random variables
3) Learn the conceptual approaches towards geodetic observations as random variables
4) Understand correlations between observations, non-correlated observations and their evaluation in geodesy
5) Learn the law of error propagation and applications through Tienstra rule
6) Learn the production of accuracy measures with such methods as Ferrero equations, double observation differences etc.
7) Apply direct adjustment technique
8) Understand indirect observation adjustment by Gauss-Markoff model, setting up the normal equations, solution of normal equations, accuracy estimation for observations and unknowns |
| Pre-requisite(s) |
|
| Required Facilities |
|
| Other |
|
| Textbook |
|
| Other References |
AYTAÇ, M.,Modern Dengeleme (Matris Cebri), İTÜ Yayınları, İstanbul, 1984.
AYTAÇ, M., Modern Dengeleme (Gözlemlerde Dengeleme), İTÜ Yayınları, İstanbul, 1985.
DEMİREL, H., Dengeleme Hesabı, YTÜ İnşaat Fakültesi, İstanbul, 2003.
GHİLANİ, C.D. ve WOLF, P.R., Adjustment Computations: Spatial Data Analysis, 4th Edition, John Wiley&Sons, New Jersey, 2006.
GOTHARDT, E., Einführung in die Ausgleichungsrechnung, Wichmann Verlag, Karlsruhe, 1980.
HÖPCKE, W., Fehlerlehre und Ausgleichungsrechnung, De Gruyter Lehrbuch/Berlin, New York, 1980.
KOCH, K.R., Parameter Estimation and Hypothesis Testing in Linear Models, 2nd Edition, Springer Verlag, Berlin, 1999.
MIKHAIL, E.M. ve ACKERMAN, F., Observations and Least Squares, Dun Donnelay, 1976.
ÖZGEN, M.G., Dengeleme Hesabının Ana Hatları ve Jeodezide Tatbikatı, (W. Grossman’dan çeviri), İTÜ Yayınları, İstanbul, 1962.
ÖZTÜRK, E. ve ŞERBETÇİ, M., Dengeleme Hesabı I-II-III, KTÜ Yayınları, Trabzon, 1991-1995.
TEUNISSEN, P.J.G., Adjustment Theory: An Introduction (Mathematical Geodesy and Positioning), Delft University Press, Delft, 2000.
TEUNISSEN, P.J.G., Testing Theory: An Introduction, Delft University Press, Delft, 2000.
ULSOY, E., Dengeleme Hesabı, İDMMA (YTÜ) Yayınları, İstanbul, 1974.
URL, http://plaza.ufl.edu/grun85/SUR3520/plates/OVH1.PDF (to) http://plaza.ufl.edu/grun85/SUR3520/plates/OVH22.PDF |
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