Probability & Statistical Inference · Statistical Inference & Estimation

Statistical Inference — Asymptotic Methods

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction introduction

Overview

Topics covered

  • Introduction
  • Asymptotic methods for inference
  • Why does inference need the asymptotic?
  • Convergence modes
  • Implications and counterexamples
  • Laws of large numbers

Related concepts

Main connections

  • Variance & standard deviation
  • Calculus & differentiation
  • Maximum likelihood estimation
  • Mean & expected value
  • Median & robust location
  • Logistic regression

Compatible notation

Mathematical sample in LaTeX

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

P(limn→∞Xn=X)=1
View LaTeX sourceP\bigl(\lim_{n\to\infty}X_n=X\bigr)=1