Duration
30h Th, 20h Pr
Number of credits
| Bachelor in mathematics | 5 crédits |
Lecturer
Coordinator
Language(s) of instruction
French language
Organisation and examination
Teaching in the second semester
Schedule
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit contents
The first part is devoted to the study of probabilities in the multivariate case (random vectors, conditional expectation, convergence and multivariate central limit theorem). In the second part, the first classical methods of statistical inference (estimation, confidence intervals) are developed. The statistical hypothesis testings could also be introduced.
Learning outcomes of the learning unit
At the end of the course the students will have a deep understanding of the concepts at the heart of probability theory in the multivariate case. They will be able to estimate unknown parameters and to derive confidence regions.
Prerequisite knowledge and skills
Probability and Differential Calculus
Planned learning activities and teaching methods
Ex cathedra classes as well as exercise sessions.
Mode of delivery (face to face, distance learning, hybrid learning)
Organisational adjustments related to the current health context
If the health situation does not allow to organize face-to-face classes, videos will be made available to students and question-and-answer sessions will be organized.
Recommended or required readings
Complete course notes together with reference books will be made available through eCampus before the course.
Assessment methods and criteria
Below you will find information on the evaluation methods planned for in-person and remote exams as well as those planned for hybrid sessions. Depending on how the health crisis evolves, the chosen method will be communicated to you no later than one month before the start of the exam session.
Any session :
- In-person
written exam ( open-ended questions ) AND oral exam
- Remote
written exam ( open-ended questions ) AND oral exam
- If evaluation in "hybrid"
preferred in-person
Additional information:
The exam will comprise two parts : an oral examination about the theory, and a written exam dedicated to the exercises. A grade inferior to 6/20 in either of the parts will automatically lead to a failed mark for the course.
Work placement(s)
Organizational remarks
The course is taught in French.
Contacts
C. ESSER, Département de Mathématique, Bât B37, local 0/62, tel 04/3669636, email: Celine.Esser@uliege.be
G. HAESBROECK, Département de mathématique, Bât B37, local 0/60, tél: 04/3669594, email: G.Haesbroeck@uliege.be
S. KLENKENBERG, Département de Mathématique, Bât B37, local 0/66, email : s.klenkenberg@uliege.be