Robustness properties of multivariate S-estimators

Unveiling the resilience and reliability in a multivariate statistical analysis

Bachelor thesis (2023)

Authors

C. Marrone Electrical Engineering, Mathematics and Computer Science

Contributors

H.P. Lopuhaä Statistics - EEMCS (supervisor 1)
Faculty
Electrical Engineering, Mathematics and Computer Science
Copyright: © 2023 Camillo Marrone
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Published Date

17-07-2023

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Abstract

This thesis investigates the robustness of multivariate S-estimators, which are statistical methods used to estimate the location and covariance parameters of multivariate distributions. Outliers, or atypical observations, can significantly impact statistical analyses, leading to incorrect conclusions. Robust methods, such as S-estimators, aim to reduce the influence of outliers, providing more reliable analysis results.
The primary objective is to assess the effectiveness of S-estimators through simulations using the statistical package R.