## 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

face to face

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)

Bachelor

3.00

German

Full-Time

2021

2 SS

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-VZ-DE-14