544-0905/03 – Theory of Errors and Equalizing Calculus (TCH)
| Gurantor department | Department of Geodesy and Mine Surveying | Credits | 10 |
| Subject guarantor | prof. Ing. Jan Kostelecký, DrSc. | Subject version guarantor | prof. Ing. Jan Kostelecký, DrSc. |
| Study level | postgraduate | Requirement | Choice-compulsory type B |
| Year | | Semester | winter + summer |
| | Study language | Czech |
| Year of introduction | 2021/2022 | Year of cancellation | |
| Intended for the faculties | HGF | Intended for study types | Doctoral |
Subject aims expressed by acquired skills and competences
Deepening of knowledge of theory of errors and adjustment calculus application for planning of accuracy and optimizing of measurements, evaluation of accuracy of measured quantities, evaluation of results, their analysis and adjustment of redundant number of measured values.
Teaching methods
Lectures
Individual consultations
Summary
Probability distribution of random quantities, errors of a measurement (sources of errors, sorts of errors, recognition of errors), accuracy of a measurement, normal distribution, limit deviations and elimination of outlying measurements from a file of measuring results, systematic errors, law of random and systematic deviations propagation, weights of measured quantities, least squares method, adjustment of direct observations, pairs of measurements, adjustment of observation equations, adjustment of condition equations, line of regression, curve of regression.
Compulsory literature:
BÖHM J., RADOUCH V., HAMPACHER M.: Vyrovnávací počet, SNTL, Praha 1990
Recommended literature:
Additional study materials
Way of continuous check of knowledge in the course of semester
Účast na konzultacích, ústní zkouška.
E-learning
Other requirements
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Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Random variable. Fundamentals of random theory and estimation theory.
Fundamentals of measurement error theory.
The law of accumulation of random and standard deviations.
Alignment of direct measurements, measuring pairs.
Compensation of intermediate measurements.
Compensation of conditional measurements.
Analysis of measurement results, regression and correlation analysis, hypothesis testing.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
Předmět neobsahuje žádné hodnocení.