Statistical Modeling & Regression · Multivariate Analysis

Multivariate analysis · The multivariate normal distribution

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Advanced Multivariate Analysis · Probability Theory

Overview

Topics covered

  • Introduction
  • The Multivariate Normal Distribution
  • Introduction and fundamentals of random vectors
  • Algebraic Properties of the Positive Definite Covariance Matrix
  • The multivariate normal density
  • Derivation of General Density by Change of Variable

Related concepts

Main connections

  • Linear algebra & matrices
  • Normal (Gaussian) distribution
  • Maximum likelihood estimation
  • Calculus & differentiation
  • Mean & expected value
  • Variance & standard deviation

Compatible notation

Mathematical sample in LaTeX

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

𝛍=E[𝐗]=(E[X1],E[X2],…,E[Xp])T.
View LaTeX source\boldsymbol{\mu} = \E[\mathbf{X}] = \big( \E[X_1], \E[X_2], \dots, \E[X_p] \big)^T.