Logo ČVUT
CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2024/2025
NOTICE: Study plans for the following academic year are available.

Advanced and Robust Regression Models

Display time-table
Code Completion Credits Range Language
01PRR ZK 2 2P Czech
Course guarantor:
Tomáš Hobza, Jan Amos Víšek
Lecturer:
Tomáš Hobza, Jan Amos Víšek
Tutor:
Tomáš Hobza
Supervisor:
Department of Mathematics
Synopsis:

1.Introduction to robust regression - M-estimates, qualitative and quantitative robustness, influential functions, outliers, leverage points.

2.The least median of squares, the trimmed least squares and the least trimmed squares.

3.Weighted least squares and least weighted squares, algorithms, applications.

4.Instrumental weighted variables and their robustification.

5.AR, MA, AR (I) MA, invertibility and stationarity condition. Smoothing of trend using curves, moving averages and exponential. Seasonal and cyclic components, tests of randomness, disturbance (Prais-Winsten, Cochrane-Orcutt).

6.Introduction to mixed linear models, estimation of parameters (ML, REML), generalized mixed linear models.

7.Repeated measurements, Longitudinal data, correlation structure in data.

8.Philosophical debate on mathematical modeling and regression analysis.

Requirements:
Syllabus of lectures:
Syllabus of tutorials:
Study Objective:
Study materials:

Key references:

[1] Víšek, J. Á., Estimating the Model with Fixed and Random Effects by a Robust Method, Methodology and Computing in Applied Probability 17, 2015

[2] Víšek, J. Á., Representation of the least weighted squares, Advances and Applications in Statistics 47, 2015

Recommended references:

[3] Hardle, W., Applied Nonparametric Regression (1990), ISBN 0-521-42950-1

Note:
Time-table for winter semester 2024/2025:
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
roomTR:124
Víšek J.
09:00–10:50
(lecture parallel1)
Trojanova 13
Wed
Thu
Fri
Time-table for summer semester 2024/2025:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2025-04-07
For updated information see http://bilakniha.cvut.cz/en/predmet6346406.html