11463-HS2023-0-Multivariate Statistics





Root number 11463
Semester HS2023
Type of course Lecture
Allocation to subject Statistics
Type of exam not defined
Title Multivariate Statistics
Description * Describing a multivariate distribution in terms of distribution or density functions

* Multivariate Gaussian, multivariate t and elliptically symmetric distributions and their main properties.

* Optimal (affine) linear prediction and related correlation coefficients: simple, multiple, partial and canonical correlations.

* Estimation of multivariate location and scatter, both classical and robust. The classical methods include statistical tests and confidence regions based on Wishart, Hotelling and related distributions. The robust procedures are mainly M-functionals related to multivariate t distributions, but the general concept of affine equivariance is introduced as well.

* Classification and discriminant analysis. If time permits, the participants will also learn something about dimension reduction (principal component analysis) and invariant coordinate selection.
ILIAS-Link (Learning resource for course) Registrations are transmitted from CTS to ILIAS (no admission in ILIAS possible). ILIAS
Link to another web site
Lecturers Prof. Dr. Johanna ZiegelInstitute of Mathematical Statistics and Actuarial Science 
ECTS 9
Recognition as optional course possible No
Grading 1 to 6
 
Dates Tuesday 13:15-15:00 Weekly
Thursday 14:15-16:00 Weekly
Monday 13:15-15:00 Weekly
Monday 29/1/2024 10:00-12:00
 
Rooms Hörsaal B005, Exakte Wissenschaften, ExWi
Hörsaal B007, Exakte Wissenschaften, ExWi
Hörraum B077, Exakte Wissenschaften, ExWi
Hörraum B078, Exakte Wissenschaften, ExWi
 
Students please consult the detailed view for complete information on dates, rooms and planned podcasts.