Lecturer: | Imma Curato |
Class Teacher:
| Dirk Brandes |
Type:
| MSc. Math, MSc. WiMa, MSc. Finance - elective course |
News: | The exercise class takes place every two weeks. |
Time and Venue: | The course schedule is:
- Lecture: Monday, 16:00-18:00, He18 - 1.20
- First Lecture: 15/10/2018
- Exercise class: Thursday, 08:00-10:00, He18 - 1.20, biweekly
- First Exercise class: 08/11/2018
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Final Exam: | oral exam of 20 minutes. To participate in the oral exam, you have to register at . |
Prerequisites: | Analysis I+II, Elementary Statistics and Probability, Stochastic I, and Measure Theory. |
Learning Objective: | By attending the course you will - understand and master fundamental principles and modelling techniques for the analysis of regression and classification problems
- Gain or deepen, respectively, model assessment and inference techniques for linear and non-linear models.
- Exercising the acquired techniques by means of real data sets and the R software.
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Contents: | This course covers topics of statistical learning in a mathematical and economical approach. Specific topics are - Linear Regression
- Classification
- Model assessment, selection and inference: cross-validation, bootstrap
- Regularization methods: Ridge and Lasso regression
- Overview of non-linear models: splines, support vector machines and neural networks
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Literature: | The course follows the following books:
- T. Hastie, R. Tibshirani & J. Friedman, The Elements of Statistical Learning: data mining, inference and prediction, 2nd edition, Springer, 2009.
- G. James, D. Witten, T. Hastie & R. Tibshirani, An Introduction to Statistical Learning with Applications in R, Springer, 2013.
- W.H. Green, Econometric Analysis (Seventh Edition), Pearson, 2012.
- D.W. Hosmer, S. Lemeshow, R.X. Sturdivant, Applied Logistic Regression (Third Edition), 2013.
- G. Casella, R.L. Berger, Statistical Inference (Second Edition), 2001.
- B. Efron and R.J. Tibshirami, An Introduction to the Bootstrap, Chapman & HALL/CRC, 1994.
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Exercise Sheets: | |
Lecture Notes: | | |