Duration
50h Th, 15h Pr
Number of credits
| Bachelor in economics and business management | 6 crédits |
Lecturer
Language(s) of instruction
French language
Organisation and examination
All year long, with partial in January
Schedule
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit contents
1st part : Probability Theory
- Random situations, events and probability
- Conditioning, probability trees and independance
- Random variables and probability distribution
- Typical parameters and moments of r.v.
- Stochastic convergences
- Theoretical distributions I (discrete laws, continuous laws and limit theorems)
- Multivariate r.v.
- Moments of multivariate r.v.
- Stochastic processes
- Applications
2nd part : Statistical inference
- Introduction (object, variables, observations, population and sample)
- Sampling and sampling distribution
- Theoretical distributions II
- Point estimation (estimators : properties and construction)
- Confidence interval estimation
- Statistical tests (principle and power, conformity and comparison, non parametrical tests)
- Inference for regression
Learning outcomes of the learning unit
- Allow to understand probability calculus and to modelize random situations
- Provide probabilistic basics useful for statistical inference, operational research and financial and actuarial applications)
- Allow to use principles and basic methods of statistical inference (estimation and tests)
In a general way, this course will allow to reach the following learning objectives :
- Strategy : The course will allow students to demonstrate scientific precision and a critical mind in the analysis of a complex situation.
- Implementation : The course will train the student to capitalize on the characteristics of a more and more digitalized world when confronted with a complex situation.
- Adaptability : The course will encourage students to be creative, self sufficient and full of entrepreneurial spirit in their studies as well as in their professional life.
Prerequisite knowledge and skills
- Descriptive statistics
- Elements of differential and integral calculus
Planned learning activities and teaching methods
Mode of delivery (face-to-face ; distance-learning)
- Ex-cathedra lectures (theory)
- Exercises with groups
Recommended or required readings
Copy of slides
Reference books
- ROSS S.M., Initiation à la théorie des probabilités, Presses polytechniques romandes
- DROESBEKE J.J., Eléments de statistique, Ellipses
Assessment methods and criteria
1st and 2nd session : written exam for the two parts "Probability" and "Statistical Inference". The two parts are about theory and exercises.
If each mark for the two parts "Probability" and "Statistical Inference" is (strictly) greater than 5/20, the global mark will be the average of the partial marks. Otherwise, it will be the smallest.
In case of 2nd session, an exemption will be given for the possible succeeded part (at least 10/20, theory + exercises). In case of failure in 2nd session, no partial exemption will be given for next year.
Work placement(s)
Organizational remarks
Contacts
Professor
Louis Esch
HEC-Ecole de gestion de l'Université de Liège (bâtiment N1)
Tél. : 04/232.73.00
e-mail : louis.esch@ulg.ac.be
Teaching assistants
S. Maron, Bât. N1, Local 306. Tél. : 04 232 73 01
e-mail : Sabine.Maron@ulg.ac.be
M.-C. Cillis, Bât. N1, Local 306. Tél. : 04 232 73 41
e-mail : mccillis@ulg.ac.be
Adaptation of teaching commitments following the COVID-19 pandemic for the May-June 2020 session
Teaching methods implemented : distance-learning
Partly face to face - partly online
Assessment subjects
See document on Lol@ (section Examen) : http://lola.hec.uliege.be/pluginfile.php/217795/mod_resource/content/1/Mati%C3%A8re_PrIS.pdf
Assessment methods
- Theory : written exam - multiple choice questions - online
- Exercices : written exam - open questions - online
Contacts
Adaptation of teaching commitments following the COVID-19 pandemic for the Aug-Sept 2020 session
Assessment subjects
Same content as for June session
Assessment methods
Written exam (MCQ) online, on eCampus.
Contacts
Items online
syllabus
theory and exercises