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401-2604-00L 7 Credits BSC D-PHYS , D-MATH
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Probability and Statistics

Wahrscheinlichkeit und Statistik

Lecturers & Examiners: Prof. Dr. Fadoua Balabdaoui
VVZ CR n/a

Last Updated: 2026-02-05 16:06:50

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

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.

Resources

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)

Learning Materials (Links)

General Information

Language
German
Levels
BSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
written 180 minutes
Aids
Formelsammlung gemäss Angaben aus der Vorlesung
Die Prüfung erfolgt in deutscher Sprache mit einer zusätzlichen englischen Version für die Fragen zum statistischen Teil.

Course Components

Type Title Time & Place Hours
lecture Wahrscheinlichkeit und Statistik
Der erste Teil der Vorlesungen (Wahrscheinlichkeitstheorie) wird auf Deutsch gehalten, der zweite Teil (Statistik) auf Englisch.
  • Tue 08:15-10:00 (HG G 5)
  • Thu 08:15-10:00 (HG G 5)
4 h weekly
exercise Wahrscheinlichkeit und Statistik
Groups are selected in myStudies. Die Übungen werden in der gleichen Sprache wie die Vorlesungen abgehalten.
  • Tue 12:15-14:00 (HG E 33.5)
  • Tue 14:15-16:00 (CHN D 46)
  • Tue 14:15-16:00 (HG E 33.5)
  • Tue 14:15-16:00 (HG G 26.3)
  • Tue 14:15-16:00 (LFW E 13)
2 h weekly

Offered In