Fadoua Balabdaoui: Catalogue data in Spring Semester 2022 |
| Name | Prof. Dr. Fadoua Balabdaoui |
| Address | Mathematik, Bühlmann ETH Zürich, HG G 24.1 Rämistrasse 101 8092 Zürich SWITZERLAND |
| Telephone | +41 44 632 61 84 |
| fadoua.balabdaoui@stat.math.ethz.ch | |
| URL | http://stat.ethz.ch/~fadouab/ |
| Department | Mathematics |
| Relationship | Adjunct Professor |
| Number | Title | ECTS | Hours | Lecturers | |
|---|---|---|---|---|---|
| 401-2604-00L | Probability and Statistics  | 7 credits | 4V + 2U | F. Balabdaoui | |
| Abstract | - Probability spaces - Discrete models, Randiom walk - Conditional probabilities, independence - Continuous models - Limit theorems ============================== - Methods of moments - Maximum likelihood estimation - Hypothesis testing - Confidence intervals - Introductory Bayesian statistics - Linear regression model | ||||
| Learning objective | The first part of the course gives an overview of the main concepts needed to understand probability theory (sample spaces, discrete models, random walk, contiuous models and limit theorems such as the Laws of Large Numbers and the Central limit theorem. Note that this part of the lectures will be given in German. The second part covers some fundamental results of mathematical statistics including estimation methods, hypothesis testing as well as the linear regression model. This part of the lectures will be offered in Englisch. | ||||
| Literature | A. DasGupta, Fundamentals of Probability: A First Course, Springer (2010) R. Berger and G. Casella, Statistical Inference, Duxbury Press (1990) J. A. Rice, Mathematical Statistics and Data Analysis, Wadsworth, second edition (1995) | ||||
| Prerequisites / Notice | The exam will be in German. The questions about the Statistics part will be also written in English. The questions in the exercise sheets will be given in the same language of the lecture. | ||||
| 401-5640-00L | ZüKoSt: Seminar on Applied Statistics | 0 credits | 1K | M. Kalisch, F. Balabdaoui, P. L. Bühlmann, R. Furrer, L. Held, T. Hothorn, M. H. Maathuis, M. Mächler, L. Meier, N. Meinshausen, M. Robinson, A. Sousa Bandeira, C. Strobl, S. van de Geer | |
| Abstract | 5 to 6 talks on applied statistics. | ||||
| Learning objective | Kennenlernen von statistischen Methoden in ihrer Anwendung in verschiedenen Gebieten, besonders in Naturwissenschaft, Technik und Medizin. | ||||
| Content | In 5-6 Einzelvorträgen pro Semester werden Methoden der Statistik einzeln oder überblicksartig vorgestellt, oder es werden Probleme und Problemtypen aus einzelnen Anwendungsgebieten besprochen. 3 bis 4 der Vorträge stehen in der Regel unter einem Semesterthema. | ||||
| Lecture notes | Bei manchen Vorträgen werden Unterlagen verteilt. Eine Zusammenfassung ist kurz vor den Vorträgen im Internet unter http://stat.ethz.ch/talks/zukost abrufbar. Ankündigunen der Vorträge werden auf Wunsch zugesandt. | ||||
| Prerequisites / Notice | Dies ist keine Vorlesung. Es wird keine Prüfung durchgeführt, und es werden keine Kreditpunkte vergeben. Nach besonderem Programm. Koordinator M. Kalisch, Tel. 044 632 3435 Lehrsprache ist Englisch oder Deutsch je nach ReferentIn. Course language is English or German and may depend on the speaker. | ||||
| 406-2604-AAL | Probability and Statistics Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement. Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit. | 7 credits | 15R | F. Balabdaoui | |
| Abstract | - Probability spaces - Discrete models, Randiom walk - Conditional probabilities, independence - Continuous models - Limit theorems ============================== - Methods of moments - Maximum likelihood estimation - Hypothesis testing - Confidence intervals - Introductory Bayesian statistics - Linear regression model | ||||
| Learning objective | The first part of the course gives an overview of the main concepts needed to understand probability theory (sample spaces, discrete models, random walk, contiuous models and limit theorems such as the Laws of Large Numbers and the Central limit theorem. Note that this part of the lectures will be given in German. The second part covers some fundamental results of mathematical statistics including estimation methods, hypothesis testing as well as the linear regression model. This part of the lectures will be offered in Englisch. | ||||
| Lecture notes | Wahrscheinlichkeitstheorie: basiert auf dem Skript "Wahrscheinlichkeitsrechnung und Statistik" von Prof. H. Foellmer und Prof. H. Kuensch (mit Ergaenzungen von Prof. J. Teichmann) Statistics: based on the script "Statistics for Mathematics" by Prof. S. van de Geer | ||||
| Literature | A. DasGupta, Fundamentals of Probability: A First Course, Springer (2010) R. Berger and G. Casella, Statistical Inference, Duxbury Press (1990) J. A. Rice, Mathematical Statistics and Data Analysis, Wadsworth, second edition (1995) | ||||
| Prerequisites / Notice | The exam will be in German. The questions about the Statistics part will be also written in English. The questions in the exercise sheets will be given in the same language of the lecture. | ||||