Smoothing and Nonparametric Regression with Examples



Herbstsemester (jährlich wiederkehrende Veranstaltung)

Dozierende

Sucharita Beran-Ghosh

Lernziel

The students will learn about methods of smoothing and application of concepts to data. The aim is to build sufficient interest in the topic as well as the ability to implement the methods to various different datasets.

Inhalt

- Parametric estimation methods: selection of important results
o Maximum likelihood
o Least squares: regression & diagnostics

- Nonparametric curve estimation
o Density estimation, Kernel regression, Local polynomials, Bandwidth selection
o Selection of special topics (as time permits, we will cover as many topics as possible) such as change points, modes & monotonicity, robustness, partial linear models, roughness penalty, local likelihoods, etc.

- Applications: potential areas of applications will be discussed such as, change assessment, trend and surface estimation, probability and quantile curve estimation, and others.

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