Courses list

Wersja polska

Course code: IGN10725o14
Semester: 2014/2015 winter
Name: Mathematical Statistics
Major: Geodesy and Cartography
Study Type: first cycle
Course type: compulsory
Study Semester: 3
ECTS points: 3
Hours (Lectures / Tutorials / Other): 9 / 9 / 0
Lecturer: dr Andrzej Dąbrowski
Language of instruction: Polish


Learning outcomes: A student gets a theoretical knowledge of probability theory and mathematical statistics at elementary level; is able to calculate, using the data: estimators of location and dispersion, work out the correlations, construct confidence intervals, build regression models and test the significance of the models. Student has practical skills in applications of probability and statistics in real situations, particularly in applications in geodesy.

Competences: Passing the course permits the possibility of statistical analysis of measurement data.

Prerequisites: mathematical analysis, algebra

Course content: probability, discrete and continuous distributions, expectation and variance of random variables, general population, sample, data, data types, estimators of expectation and variance, confidence intervals for expectation for any distribution and for normal distribution, confidence intervals for probability, determination of sample size, linear regression, method of least squares, correlation, regression error, significance of regression.

Recommended literature: Dąbrowski A. i inni, Statystyka - 15 godzin z pakietem STATGRAPHICS, Wyd. AR, Wrocław wyd. 3, 1997;
Luszniewicz A., Słaby T., Statystyka stosowana, PWE Warszawa 1996;
Krysicki W., Bartos J., Rachunek prawdopodobieństwa i statystyka matematyczna w zadaniach , cz. I i II, PWN Warszawa 1996.

Assessment methods: obligatory passing grades of practical course and written exam

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