401-3622-DRL Statistical Modelling
| Semester | Autumn Semester 2023 |
| Lecturers | M. Kalisch |
| Periodicity | yearly recurring course |
| Language of instruction | English |
| Comment | Only for ZGSM (ETH D-MATH and UZH I-MATH) doctoral students. The latter need to register at myStudies and then send an email to info@zgsm.ch with their name, course number and student ID. Please see https://zgsm.math.uzh.ch/index.php?id=forum0 |
| Abstract | In regression, the dependency of a random response variable on other variables is examined. We consider the theory of linear regression with one or more covariates, high-dimensional linear models, nonlinear models and generalized linear models, model choice and nonparametric models. Several numerical examples will illustrate the theory. | |||||||||||||||||||||||||||
| Learning objective | - Thorough, theoretical understanding of linear regression - Overview of several extensions of linear regression - Ability to correctly apply the methods learned in simple data examples | |||||||||||||||||||||||||||
| Content | In der Regression wird die Abhängigkeit einer beobachteten quantitativen Grösse von einer oder mehreren anderen (unter Berücksichtigung zufälliger Fehler) untersucht. Themen der Vorlesung sind: Einfache und multiple Regression, Theorie allgemeiner linearer Modelle, Hoch-dimensionale Modelle, Ausblick auf nichtlineare Modelle, Modellsuche, Residuenanalyse, nicht-parametrische Regression. Durchrechnung und Diskussion von Anwendungsbeispielen. | |||||||||||||||||||||||||||
| Prerequisites / Notice | This is the course unit with former course title "Regression". Credits cannot be recognised for both courses 401-3622-00L Statistical Modelling and 401-0649-00L Applied Statistical Regression in the Mathematics Bachelor and Master programmes (to be precise: one course in the Bachelor and the other course in the Master is also forbidden). | |||||||||||||||||||||||||||
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