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Internship Stochastics
(dt. Praktikum zur Stochastik)

Level, degree of commitment Practical module, compulsory elective module
Forms of teaching and learning,
workload		 Internship (4 SWS),
180 hours (60 h attendance, 120 h private study)
Credit points,
formal requirements		 6 CP
Course requirement(s): Presentation of three task solutions. Attendance is compulsory.
Examination type: internship report
Language,
Grading		 German,
The module is ungraded in accordance with the examination regulations for the degree program B.Sc. Business Mathematics.
Duration,
frequency		 One semester,
In the summer semester / as a block course during the lecture-free period in spring
Person in charge of the module's outline Prof. Dr. Hajo Holzmann

Contents

The practical course is based on the statistics software ''R''. First, the functionalities of ''R'' are introduced. Subsequently, the theory is briefly introduced to the topics listed below. The methods introduced are investigated with ''R'' on the basis of simulations and applied to data sets.

Topics (only a selection is covered)

  • Basics in dealing with R
  • Random variables and their simulation
  • descriptive statistics and graphics
  • Point and interval estimation
  • Statistical hypothesis tests
  • Analysis of multivariate data
  • Linear Regression
  • Covariance and variance analysis
  • Generalized linear models

Qualification Goals

Students

  • are able to use the statistical software R,
  • can investigate statistical procedures using suitable simulations,
  • can apply appropriate statistical procedures to given data sets and problems,
  • are able to process results obtained in writing in an appropriate manner,
  • have experience in teamwork and work organization through the development of tasks.

Prerequisites

None. The competences taught in the following modules are recommended: either Foundations of Mathematics and Linear Algebra I and Linear Algebra II or Basic Linear Algebra, either Analysis I and Analysis II or Basic Real Analysis, Elementary Probability and Statistics.


Applicability

Module imported from B.Sc. Business Mathematics.

It can be attended at FB12 in study program(s)

  • B.Sc. Data Science
  • B.Sc. Mathematics
  • B.Sc. Business Mathematics
  • M.Sc. Mathematics
  • M.Sc. Business Mathematics
  • BA Minor Mathematics

When studying BA Minor Mathematics, this module can be attended in the study area Compulsory Elective Modules.

The module is assigned to variants A and B of the BSc minor program in Mathematics.


Recommended Reading

  • Ugarte, M. D., Militino, A. F., Arnholt, A. T., „Probability and Statistics with R“, Chapman & Hall 2008.



Please note:

This page describes a module according to the latest valid module guide in Winter semester 2023/24. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:

  • Winter 2016/17 (no corresponding element)
  • Summer 2018 (no corresponding element)
  • Winter 2018/19 (no corresponding element)
  • Winter 2019/20 (no corresponding element)
  • Winter 2020/21 (no corresponding element)
  • Summer 2021 (no corresponding element)
  • Winter 2021/22 (no corresponding element)
  • Winter 2022/23
  • Winter 2023/24

The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.

The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.