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Subjects in particular are:
- statistical model
- multivariate normal distribution
- concepts of convergence
- sufficient and complete statistics
- confidence-areas
- Fisher information
- Cramer-Rao lower bound
- statistical tests
- likelihood ratio test
- Kruskal-Wallis
- Analysis of variance
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After completing the course, the student knows:
- The concept of a sample.
- The multivariate normal distribution.
- The concept "mean quadratic error".
- The method of moments.
- The maximum likelihood estimator.
- Concepts of convergence.
- Sufficient and complete statistics.
- Confidence-areas.
- Fisher information.
- Cramer-Rao lower boundary.
- Statistical tests.
- Analysis of variance.
- Likelihood ratio test, Kruskal-Wallis test
- How to analyse a given data set and to interpret the results.
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