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Mathematical Methods in Safety Engineering

Summary

The course introduces the basics of stochastic data analysis and data modelling on the level required for measurement, datafiles, and time-series processing in the field of Safety and Risk Analysis.
The participant of this course will be able to formulate scope of analysis, which is able to achieve using the given data, choose the suitable model, apply it to given problem including the practical implementation in appropriate software, and present the relevant results of the analysis. Additionally, the participant will learn how to analyse the time-series using the common analysis tools and choose the suitable efficient method for analysis, propose questions and interpret the conclusion learned from data, predict based on optimal model, and assess the model suitability respect to processed data.

Literature

BRIŠ, R. Probability and statistics for engineers. VŠB-TU Ostrava, 2011. https://homel.vsb.cz/~bri10/Teaching/Prob%20&%20Stat.pdf
SHUMWAY, R. H., STOFFER, D. S. Time Series Analysis and Its Applications: With R Examples. Springer, 4th ed. 2017. ISBN10 3319524518 

Advised literature

ŠKŇOUŘILOVÁ, P., BRIŠ, R. Statistics I, VŠB-TU Ostrava, Ostrava 2007. http://mdg.vsb.cz/portal/en/Statistics1.pdf
MARTINEZ, W. L. Exploratory data analysis with MATLAB. Boca Raton, Fla.: Champman&Hall/CRC, c2005. ISBN 1-58488-366-9 
KANTZ, H., SCHREIBER, T. Nonlinear Time Series Analysis, Cambridge University Press. 2nd ed. 2004. ISBN10 0521529026


Language of instruction čeština, angličtina
Code 230-0264
Abbreviation MMBI
Course title Mathematical Methods in Safety Engineering
Coordinating department Department of Mathematics
Course coordinator doc. Ing. Martin Čermák, Ph.D.