Advanced & Applied Topics · Robust Statistics & Outlier Diagnostics

Robust statistics and robust linear regression · advanced reference manual

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Robust Statistics and Parameter Estimation

Overview

Topics covered

  • Introduction
  • Robust Statistics: Robust Linear Regression
  • Limitations of Ordinary Least Squares (OLS)
  • Classification of anomalous observations in regression
  • Theoretical Robustness: Influence Functions and Breaking Points
  • The breakdown point (Breakdown Point)

Related concepts

Main connections

  • Residual analysis & diagnostics
  • Median & robust location
  • Linear regression
  • Linear algebra & matrices
  • Calculus & differentiation
  • Variance & standard deviation

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

ϵi∼N(0,σ2)
View LaTeX source\epsilon_i \sim N(0, \sigma^2)