Advanced & Applied Topics · Econometrics & Panel Data

Econometrics: Inference and prediction in the CLRM — Expert level reference

Public introduction · full guide in Eikos

Introduction

What this guide covers

An analytical treatise on OLS estimation, Projection Algebra, hypothesis testing under normality, prediction intervals and asymptotic analysis under classical specification.

Overview

Topics covered

  • Introduction
  • Inference and Prediction in the MRLC
  • MRLC and Gauss-Markov Assumptions
  • OLS Geometry: The Algebra of Projections
  • Sample Distributions of the OLS Estimators
  • 2.1 Distribution of the Parameter Estimator

Related concepts

Main connections

  • Linear algebra & matrices
  • Variance & standard deviation
  • Residual analysis & diagnostics
  • Hypothesis testing
  • Calculus & differentiation
  • Student's t distribution

Compatible notation

Mathematical sample in LaTeX

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

𝐲=𝐗𝛃+𝐮
View LaTeX source\mathbf{y} = \mathbf{X}\boldsymbol{\beta} + \mathbf{u}