Probability & Statistical Inference · Statistical Inference & Estimation

Statistical Models — Expert Reference

Public introduction · full guide in Eikos

Introduction

What this guide covers

A comprehensive reference covering the taxonomy, theoretical foundations, properties, inference, selection, and diagnosis of statistical models, from probability theory to generalized linear models and beyond.

Overview

Topics covered

  • Introduction
  • Statistical Models
  • Conceptual Foundations of Statistical Models
  • 1.1 What is a Statistical Model? Formal Definition
  • 1.2 Underlying Probability Space
  • 1.3 Model Identifiability

Related concepts

Main connections

  • Maximum likelihood estimation
  • Variance & standard deviation
  • Poisson distribution
  • Generalized linear models (GLM)
  • Calculus & differentiation
  • Logistic regression

Compatible notation

Mathematical sample in LaTeX

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

𝒫={Pθ:θ∈Θ}
View LaTeX source\mathcal{P} = \{P_\theta : \theta \in \Theta\}