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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. Martin Schweizer
VVZ CR n/a

Last Updated: 2026-02-05 15:41:26

Abstract

- Discrete probability spaces- Continuous models- Limit theorems- Introduction to statistics

Objective

The goal of this course is to provide an introduction to the basic ideas and concepts from probability theory and mathematical statistics. This includes a mathematically rigorous treatment as well as intuition and getting acquainted with the ideas behind the definitions. The course does not use measure theory systematically, but does point out where this is required and what the connections are.

Content

- Discrete probability spaces: Basic concepts, Laplace models, random walks, conditional probabilities, independence - Continuous models: general probability spaces, random variables and their distributions, expectation, multivariate random variables - Limit theorems: weak and strong law of large numbers, central limit theorem - Introduction to statistics: What is statistics?, point estimators, statistical tests, confidence intervals

Resources

Lecture Notes

There will be lecture notes (in German) that are continuously updated during the semester.

Literature

A. DasGupta, Fundamentals of Probability: A First Course, Springer (2010) J. A. Rice, Mathematical Statistics and Data Analysis, Duxbury Press, 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 zu dieser Vorlesung wird sowohl deutsch als auch englisch angeboten, und die Antworten können deutsch oder englisch geschrieben werden. Standardmässig ist die Prüfung deutsch; wer sie englisch absolvieren möchte, muss sich bis Ende des Semesters explizit per e-mail melden.The exam for this course will be offered in German as well as in English, and answers can be written either in German or in English. The default is a German exam; whoever wants to take the exam in English must inform us explicitly by e-mail before the end of the semester.

Course Components

Type Title Time & Place Hours
lecture Wahrscheinlichkeit und Statistik
  • Tue 08:00-10:00 (ER SA TZ)
  • Tue 08:15-10:00 (HG G 5)
  • Thu 08:00-10:00 (ER SA TZ)
  • Thu 08:15-10:00 (HG G 3)
4 h weekly
exercise Wahrscheinlichkeit und Statistik
Groups are selected in myStudies.
  • Tue 12:15-14:00 (HG E 33.1)
  • Tue 13:15-15:00 (HG E 22)
  • Tue 13:15-15:00 (HG E 33.5)
  • Tue 13:15-15:00 (HG F 26.5)
  • Tue 13:15-15:00 (HG G 26.3)
2 h weekly

Offered In