Contents: In many domains such as technical engineering, economics and administration, the main basis for taking decisions or developing strategies is a bulk of data which were obtained by routine recording of events, by sampling and interviews, questionnaires or experiments and eventually stored in large databases. The course 'Statistik' deals, in its first part, with methods for representing, displaying, and analyzing such data sets in the framework of 'descriptive statistics'. On the other hand, it is obvious that most economic, technical and social processes, are subject to random effects and randomly varying fluctuations, which show also up in any sampling procedure. Quite generally, random processes and evolutions are formally described and analyzed by probability models and probability distributions. The course presents also an elementary introduction into the most simple models of probability theory for analyzing 'stochastic experiments'. These models will provide the basis for designing and optimizing statistical sampling strategies, to develop statistical methods for estimating parameters and testing hypotheses, and for minimizing the expected errors or error probabilities (which, as a principle, cannot be avoided in any random environment).
The course 'Statistik I' presents various standard methods and tools from elementary probability and illustrates the underlying situations by many examples from practice (exercise sessions).
Keywords:
- Various types of data
- Empirical distributions and characteristics for location and variation
- Concentration of sampling values
- Statistical indexes (e.g., for prices and living costs)
- Approximating data by functions, regression
- Probability spaces and probability distributions: discrete case
- Urn models for sampling and elementary random experiments
- Binomial, hypergeometric and polynomila distribution
- Continuous probability distributions
- Expectation of random variables, variance and other characteristics
The course 'Statistik I' (summer semester, 3h/week plus exercise sessions) is continued by 'Statistik II' (winter semester, 3h/week plus exercise sessions). See also http://www.stochastik.rwth-aachen.de/bock/Lehrveranst/stat_inhalt.html
Literature: See http://www.stochastik.rwth-aachen.de/bock/english/courses/stat_lit.html
Audience: Diploma in Betriebswirtschaftslehre, Zusatzstudium-Wirtschaftsingenieur, Gewerbelehrer
Preknowledge: A course on 'Wirtschaftsmathematik'
Other topics:
Exercise sheets are distributed each week, solutions are presented and discussed in exercise sessions and discussion groups.
Examinations: After each semester (typically in March and August) there is a written
examination in 'Statistik' (comprizing the topics of Statistik I and Statistik
II). There are two options:
- as an examination in the framework of the Vordiplomprüfung 'Wirtschaftswissenschaften',
with 4 hours (this needs a formal registration at the Zentrales Prüfungsamt, within the registration period), or
- as an examination for acquiring an 'Übungsschein' only, e.g., for
Wirtschaftsingenieure and Gewerbelehrer (3
h; registration at the Institut für Statistik und Wirtschaftsmathematik, registration period in the last weeks of
the semester).
For details, please check the information at the blackboards of the Institute (Wüllnerstr. 3 and Hauptgebäude, Flur 1.
OG, approximately in front of H III).