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Adjustment

Type of study Follow-up Master
Language of instruction Czech
Code 544-0012/02
Abbreviation VyPo
Course title Adjustment
Credits 5
Coordinating department Department of Geodesy and Mine Surveying
Course coordinator prof. Ing. Jan Kostelecký, DrSc.

Subject syllabus

1. Distributions of Random Variables and Their Applications in Error Theory
2. Confidence Intervals for the Mean and Variance of a Population
3. Two-Dimensional Errors, Skewed Systems of Error Coordinates, Error Ellipse
4. Law of Error Accumulation, Generalization for Multiple Functions, Total Function Error, Law of Weight Accumulation
5. Adjustment of Direct Measurements and Measurement Pairs
6. Adjustment of intermediate measurements
7. Adjustment of conditional measurements
8. Combined adjustment
9. Analysis of adjustment results
10. Approximation of functional relationships
11. Regression and correlation analysis
12. Statistical hypothesis testing
13. Current robust statistical approaches

Literature

BOHM, J., RADOUCH, V., HAMPACHER, M.: Teorie chyb a vyrovnávací počet, Geodetický a kartografický podnik Praha,1990, 2.vydání
TYRNER, M., ŠTĚPÁNKOVÁ, H.: Vyrovnávací počet, skripta VŠB Ostrava,1993
WEIGEL, J.: Teorie chyb a vyrovnání I - Modul02. skripta VUT Brno, 2010
WOLF, P. R., GHILANI, CH. D.: Adjustment Computation, John Wiley, New York, 1997
EWENS, Warren J. a Katherine BRUMBERG. Introductory Statistics for Data Analysis. Cham: Springer, 2023. DOI 10.1007/978-3-031-28189-1.

Advised literature

HAMPACHER, M., RADOUCH, V.: Teorie chyb a vyrovnávací počet 10. ČVUT Praha, 1997
HAMPACHER, M., RADOUCH, V.: Teorie chyb a vyrovnávací počet 20. ČVUT Praha, 1997
VYKUTIL, J.: Vyrovnávací počet, VAAZ, Brno, 1964
MERVART, L., LUKEŠ, Z: Adjustment Calculus, Nakladatelství ČVUT, 2007
KRYSTEK, Michael. Measurement Uncertainties: Error Propagation, Probabilistic Modelling, Statistical Methods. Berlin: Walter de Gruyter, 2024. ISBN 978-3-11-145371-2 . DOI 10.1515/9783111453712.