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t.BA.XXM7.STS.19HS (Stochastics and Statistics)
Module: Stochastics and Statistics
This information was generated on: 06 December 2024
No.
t.BA.XXM7.STS.19HS
Title
Stochastics and Statistics
Organised by
T IAMP
Credits
4
Description
Version: 1.0 start 01 February 2019
Short description
The module introduces the terms and concepts of probability theory and statistics that are indispensable for a deeper understanding of many areas.
Module coordinator
Reif Monika (reif)
Learning objectives (competencies)
Objectives
Competences
Taxonomy levels
You can visualize data from a statistical point of view and calculate various statistical values. You can use statistics software to do this.
F,M
K3, K4
You know the basics of probability theory for the analytical description of random events.
F,M
K2, K3
You can use probability theory methods to analytically calculate probabilities and use them to evaluate dependent and independent events.
F,M
K3, K4
You understand the concept of random variables and the properties of probability density and distribution function.
F,M
K3, K4
You know the most important distributions and know how to calculate their parameters.
F,M
K2, K3
You know the laws of large numbers and the central limit theorem and their significance in statistical applications.
F,M
K2, K3
You know general methods for estimating parameters and can apply them.
F,M
K3, K4
Module contents
Descriptive Statistics
Introduction of statistical software
Representation of frequencies and distribution function
Measures of central tendency and measures of variation
Classified data
Bivariate and multivariate data (optional)
Correlation
Probability calculus
Random events
Concept of probability
Probability models
Stochastic independence
Conditional probability
Distributions
Random variable
Density function
Distribution function
Discrete distributions
Continuous distributions
Parameters
Limit theorems
Estimating and testing
Point estimate (such as linear regression, maximum likelihood estimation, moment method)
Interval estimation
Hypothesis testing
Teaching materials
Lecture notes, exercise series
Supplementary literature
Teschl, G; Teschl,S.: Mathematik für Informatiker
Fahrmeir, L. et al: Statistik
Cramer, E.; Kamps, U.: Grundlagen der Wahrscheinlichkeitsrechnung
und Statistik - Eine Einführung für Studierende der Informatik, der Ingenieur- und Wirtschaftswissenschaften
Prerequisites
Teaching language
(X) German ( ) English
Part of International Profile
( ) Yes (X) No
Module structure
Type 3a
For more details please click on this link:
T_CL_Modulauspraegungen_SM2025
Exams
Description
Type
Form
Scope
Grade
Weighting
Graded assignments during teaching semester
Exam or exercises
written or oral
max. 20%
End-of-semester exam
Exam
written
90 min.
graded
min. 80%
Remarks
Legal basis
The module description is part of the legal basis in addition to the general academic regulations. It is binding. During the first week of the semester a written and communicated supplement can specify the module description in more detail.
Course: Stochastik und Statistik - Praktikum
No.
t.BA.XXM7.STS.19HS.P
Title
Stochastik und Statistik - Praktikum
Note
No module description is available in the system for the cut-off date of 01 August 2099.
Course: Stochastik und Statistik - Vorlesung
No.
t.BA.XXM7.STS.19HS.V
Title
Stochastik und Statistik - Vorlesung
Note
No module description is available in the system for the cut-off date of 01 August 2099.