Date of Award

2023-05-01

Degree Name

Master of Science

Department

Statistics

Advisor(s)

Michael M. Pokojovy

Abstract

Accurate detection of outliers is crucial in the field of statistical analysis. Using classical statisticalmodels without considering the presence of outliers in the data can lead to misleading outcomes. There exist a myriad of procedures to detect outliers in statistics. We concentrate on the statistical techniques that can robustly identify outliers in data sets. To this end, we pursue two aims. First, we give an extensive overview of robust statistical methods which are still popular in recent years for outlier detection. We provide the definitions, algorithms and also discuss some important properties of these methods. Second, two real examples are presented to make a comparison between several techniques. Three prevalent methods are selected to illustrate their practical use for outlier detection in both low-dimensional and high-dimensional data.

Language

en

Provenance

Recieved from ProQuest

File Size

p.

File Format

application/pdf

Rights Holder

Yuanhong Wu

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