Probability & Statistical Inference · Statistical Inference & Estimation

Probability Prerequisites — Statistical Inference

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction introduction introduction Parametric Statistical Inference Unit 0 · Fundamentals

Overview

Topics covered

  • Introduction
  • Probability Prerequisites
  • Sample Spaces and Events
  • Algebra of Events and Operations
  • σ-Algebras (σ-fields)
  • Kolmogorov Axioms

Related concepts

Main connections

  • Variance & standard deviation
  • Conditional probability & independence
  • Calculus & differentiation
  • Poisson distribution
  • Skewness & kurtosis
  • Bayes' theorem & priors

Compatible notation

Mathematical sample in LaTeX

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

A∪B={ω∈Ω:ω∈AOrω∈B}(union)
View LaTeX sourceA \cup B = \{\omega \in \Omega : \omega \in A \text{Or} \omega \in B\} \quad \text{(union)}