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Statistics for Civil Engineering

Type of study Bachelor
Language of instruction English
Code 230-0206/02
Abbreviation SVS
Course title Statistics for Civil Engineering
Credits 4
Coordinating department Department of Mathematics
Course coordinator Ing. Lukáš Pospíšil, Ph.D.

Subject syllabus

1. Introduction to statistics, data processing, and stochastic modeling
2. Linear regression, least squares method
3. Nonlinear regression, selection of the optimal model
4. Combinatorics
5. Probability theory, Kolmogorov’s axioms
6. Conditional probability, Bayes’ theorem
7. Discrete random variable
8. Continuous random variable
9. Normal distribution
10. Parameter estimation: method of moments, maximum likelihood estimation
11. Interval estimation, central limit theorem
12. Hypothesis testing: parametric tests
13. Hypothesis testing: nonparametric tests

Literature

Briš, R., Škňouřilová, P.: Statistics I. Lecture notes VSB-TU, Ostrava 2007. https://mdg.vsb.cz/portal/en/Statistics1.pdf

Schreiberová, P., Rabasová, M.: Workbook for Statistics. Ostrava 2021. https://mdg.vsb.cz/portal/en/Statistics_workbook.pdf

Casella, G., Berger, R. L.: Statistical Inference. 2nd edition. Duxbury Press, Pacific Grove, 2002. ISBN 978-0-534-24312-8 .

Advised literature

Middleton, M. R.: Data Analysis Using Microsoft Excel. 5th ed. Boston: Cengage Learning, 2018. ISBN 978-1-337-40664-2 .

Hastie, T., Tibshirani, R.; Friedman, J.: The Elements of Statistical Learning: Data Mining, Inference, and Prediction. 2nd ed. New York: Springer, 2009. ISBN 978-0-387-84857-0. https://statweb.stanford.edu/~tibs/ElemStatLearn/