Inferential Statistics

• Random variables and probabilities • Types of random variables • Basic rules of probability • Probability, density and distribution functions • Momentum of distributions (median, mode, expected value, variance, and standard deviation) • General rules of probability theory with distributions • Special distributions and their momentum (binomial, Poisson, normal and lognormal distributions, two-dimensional distributions), • General rules of probability theory with two-dimensional distributions • Covariance and correlation • Linear transformations of random variables • Relationship between normal and lognormal distributions • Characteristics of estimators and selected estimators • Hypothesis-testing • Further selected tests

Mode of delivery

face to face

Type

compulsory

Recommended or required reading and other learning resources/tools

Günther Bourier: Wahrscheinlichkeitsrechnung und schließende Statistik: Praxisorientierte Einführung. Mit Aufgaben und Lösungen, Gabler, Wiesbaden, 8th edition, 2013 PowerPoint slides and exercise sheets

Planned learning activities and teaching methods

Integrated classes (2 groups) Lecture, exercises, discussion and continuous assessment quizzes

Assessment methods and criteria

Continuous assessment (three short written tests) and final written exam

Prerequisites and co-requisites

(Austrian) secondary school-leaving level in statistics

Infos

Degree programme

Banking and Finance (Bachelor)

Cycle

Bachelor

ECTS Credits

3.00

Language of instruction

German

Curriculum

Part-Time

Academic year

2023

Semester

2 SS

Incoming

No

Learning outcome

After successful completion of the course, students can • name and reflect on the most important rules of probability theory • summarise the moments and the relevant distributions, and apply them • outline the structure of an estimation and testing process and apply it to selected cases

Course code

0229-19-01-BB-DE-14