Probability & Statistical Inference · Descriptive Statistics & EDA

Descriptive statistics · Moments, shape, and concentration measures

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Advanced Data Analysis and Distribution Theory

Overview

Topics covered

  • Introduction
  • Descriptive Statistics: Moments, Shapes and Concentration
  • Historical, conceptual perspective and analytical foundations
  • The General Theory of Statistical Moments
  • Transformation relationships between moments
  • Grouped data treatment: Sheppard corrections

Related concepts

Main connections

  • Skewness & kurtosis
  • Calculus & differentiation
  • Variance & standard deviation
  • Mean & expected value
  • Mathematical expectation & moments
  • Normal (Gaussian) distribution

Compatible notation

Mathematical sample in LaTeX

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

αr=E[Xr]=∫−∞∞xrdF(x)
View LaTeX source\alpha_r = \E[X^r] = \int_{-\infty}^{\infty} x^r \dd F(x)