544-0905/03 – Theory of Errors and Equalizing Calculus (TCH)

Gurantor departmentDepartment of Geodesy and Mine SurveyingCredits10
Subject guarantorprof. Ing. Jan Kostelecký, DrSc.Subject version guarantorprof. Ing. Jan Kostelecký, DrSc.
Study levelpostgraduateRequirementChoice-compulsory type B
YearSemesterwinter + summer
Study languageCzech
Year of introduction2021/2022Year of cancellation
Intended for the facultiesHGFIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
KOS10 prof. Ing. Jan Kostelecký, DrSc.
STA73 prof. Ing. Hana Staňková, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 20+0
Part-time Examination 20+0

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

Individual consultations


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:

HAMPACHER M., RADOUCH V.: Teorie chyb a vyrovnávací počet 10, 20 (skripta), Ediční středisko ČVUT 1997 HIMMELBLAU, D. M.: Process analysis by statistical methods. New York: Wiley, 1970, xi, 463 p. ISBN 04-713-9985-X

Way of continuous check of knowledge in the course of semester

Účast na konzultacích, ústní zkouška.


Other requirements



Subject has no prerequisities.


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

Part-time form (validity from: 2021/2022 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Examination Examination  
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (P0532D330034) Mine Surveying and Geodesy K Czech Ostrava Choice-compulsory type B study plan
2021/2022 (P0532D330034) Mine Surveying and Geodesy P Czech Ostrava Choice-compulsory type B study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner