Probability and Statistics für die Fachrichtung Water Science and Engineering

The course Probability & Statistics is part of the compulsory modul Cross-Cutting Methods & Competencies within the MSc Course Water Science and Engineering. The lecture provides a concise introduction to probability theory and covers some important statistical methods. No prior knowledge of probability and statistics is required. 
The topics covered are fundamental for more advanced probabilistic or statistical techniques such as classification methods, machine learning, time series analysis, Bayesian methods, or cluster analysis.
Many examples and exercises from environmental engineering and water management illustrate the methods covered.

Key concepts:
- Random Experiments, Sample Space, Events
- Probability, Conditional Probability, Independent Events
- Random Variables, Probability Distribution, Distribution Function
- Probability Mass Function, Density Function
- Expected Value, Moments, Quantiles
- Error Propagation
- Sample mean, Sample Variance, Empirical Quantiles
- Point estimate, Sampling Distribution
- Fundamentals of Classification Methods
- Linear Regression and Correlation
- Confidence Interval
- Statistical Tests

Weitere Informationen zur Vorlesung (Name des Dozenten, Vorlesungszeiten) finden Sie auf der Homepage der Vorlesung im aktuellen Vorlesungsverzeichnis.