2020-2021 / STAT0082-1

Complement to multivariate statistics

Duration

10h Th, 10h Pr, 10h Mon. WS

Number of credits

 Master in mathematics (120 ECTS)3 crédits 
 Master in mathematics (60 ECTS)3 crédits 

Lecturer

Gentiane Haesbroeck

Language(s) of instruction

French language

Organisation and examination

Teaching in the first semester, review in January

Schedule

Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

This course focuses mainly on the theoretical concepts not devlopped in the co-requisite course (ie High -dimensional data analysis). The content is therfore the same as in the co-requisite course mais only the mathematical justifications, proofs and some theoretical exercises will be considered.

Learning outcomes of the learning unit

After this course, the mathematician-student will have a deep knowledge of the mathematical justifications of the multivariate techniques taught in the course "high-dimensional data analysis".

Prerequisite knowledge and skills

This course is aimed for students with a strong mathematical background (bachelor in mathematics) and cannot be attended without its co-requisite course.

Planned learning activities and teaching methods

The learning activities consist in studying the proofs and mathematical justifications and the solving of theoretical exercises (there will be no - or at least few - use of a statistical software).

Mode of delivery (face to face, distance learning, hybrid learning)

If possible, the lectures will be given face-to-face. However, if it is not possible, the proofs will be transmitted in a written format and the students will be invited to read and analyse them before a discussion organised in a virtual class.
For the exercises, no face-to-face session will be planned. Lists of statements will be put on line on eCampus and the students will be invited  to solve these, either at home or in cooperation during some non supervised lectures. Some discussion on the solving and/or on encountered problems will be organised from time to time according to the evolution of the personnal work of the students.

Organisational adjustments related to the current health context

The information relative to the possible adaptations are already given in the other sections.

Recommended or required readings

There are no lecture notes.
Some reference books will be suggested during 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.

Exam with an oral part for the theory and a wrfitten part for the exercises. These two parts will be organised in a distance way if necessary.

Work placement(s)

Organizational remarks

There is assistant attached to this course. Therefore, an active implication of the students in the resolution of the exercises is expected! 
The students need to be aware that the content of this complement is essentiually theoretical (mainly proofs). There are no concrete applications.

Contacts

Gentiane Haesbroeck (G.Haesbroeck@uliege.be)