Probability & Statistical Inference · Descriptive Statistics & EDA

Descriptive statistics: Measures of position and location — rigorous statistical treatise

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Descriptive Statistics Advanced Theory

Overview

Topics covered

  • Introduction
  • Position and Location Measurements
  • Introduction and Historical Conceptual Framework
  • Geometric and Optimization Motivation
  • Notation and Statistical Data Structures
  • Theory of Operators and Mathematical Properties

Related concepts

Main connections

  • Quantiles & percentiles
  • Mean & expected value
  • Median & robust location
  • Calculus & differentiation
  • Outliers & influence diagnostics
  • Skewness & kurtosis

Compatible notation

Mathematical sample in LaTeX

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

c*=argminc∈ℝ∑i=1n|xi−c|p
View LaTeX sourcec^* = \arg\min_{c \in \mathbb{R}} \sum_{i=1}^{n} |x_i - c|^p