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Probabilités, inférence statistique et recherche opérationnelle
Course teacher(s)
Catherine Dehon (Coordinator), Maxime Boucher and Sébastien VAN BELLEGEMECTS credits
10
Language(s) of instruction
french
Course content
Probability theory (Q1):
- Introduction explaining the link between probability theory and statistical inference
- Probability measures
- Random variables
- Random vectors
- Limit theorems, sampling distributions, Fisher's lemma
Statistical inference (Q2):
- Introduction to statistical inference
- Point estimation, interval estimation
- Hypothesis testing
- Analysis of variance
- Linear regression models
Operational research (Q2)
Objectives (and/or specific learning outcomes)
After this course, students will be able to:
- Understand the mechanisms that justify resorting to some statistical/econometric method
- Use statistical tools to guide the decision process
- Put their knowledge at work in daily-life situations.
Prerequisites and Corequisites
Required and corequired courses
Courses requiring this course
Teaching methods and learning activities
- Theory : standard lectures. The slides used for those lectures are available on the université virtuelle.
- Exercices : in small groups. The exercices are available on the université virtuelle. Solutions will also be made available there.
References, bibliography, and recommended reading
Main reference:
Dehon, C., Hallin, M., Paindaveine, D., Thomas-Agnan, C., et Vermandele, C. (2020). Probabilités et inférence statistique. Editions de l’Université de Bruxelles, Editions Ellipses.
Further references:
Tijms, H. (2007). Understanding Probability. Chance Rules in Everyday Life. Cambridge University Press, New York.
Dehon, C., Droesbeke J.-J. et Vermandele, C. (2008). Eléments de statistique, Bruxelles, Editions de L'Université de Bruxelles.
Mélard, G (1990). Méthodes de Prévision à Court Terme, Editions de l’Université de Bruxelles.
Anderson D., Sweeney D., et Williams T. (2001). Statistiques pour l'économie et la gestion, Bruxelles, De Boeck Université.
Dagnelie P. (1998). Statistique théorique et appliquée. Tome 2: Inférence statistique à une et à deux dimensions, Bruxelles, De Boeck Université.
Course notes
- Syllabus
Contribution to the teaching profile
This teaching unit contributes to the development of the following competences in the Business Engineering (BA-INGE):
LO 1.1 Apply fundamental concepts, tools and models in economics and management to formulate a well-defined problem and propose a multidisciplinary solutionLO 2.1 Adopt a scientific approach to data collection, research and analysis and communicate results with clear, structured and sophisticated arguments
LO 2.2 Display critical thinking, logical and abstract reasoning and develop an independent approach to learning
LO 3.1 Apply quantitative and qualitative techniques to support problem solving using standard office and scientific software
This teaching unit contributes to the development of the following competences in the Economics (BA-ECON):
LO 1.1 Apply fundamental concepts, tools and models in economics and management to formulate a well-defined problem and propose a multidisciplinary solution relevant to the economic contextLO 2.1 Adopt a scientific approach to data collection, research and analysis and communicate results with clear, structured and sophisticated arguments
LO 2.2 Display critical thinking, logical and abstract reasoning and develop an independent approach to learning
LO 3.1 Solve standard mathematical and statistical problems by analysing data with standard office and statistical software
LO 3.3 Assess the quality of a statistical or quantitative analysis of an economic problem
Other information
Contacts
Catherine Dehon
<cdehon@ulb.ac.be>
Campus
Solbosch
Evaluation
Method(s) of evaluation
- written examination
written examination
See the evaluation method(s) in French
Mark calculation method (including weighting of intermediary marks)
See the determination of the mark in French
Language(s) of evaluation
- french