Module 9:
Essential continuous distribution families

Module 9

What this module is for

Both; the additional tail and multivariate preparation is particularly valuable for QR. Every lesson should cover support, parameters, shape, moments, simulation intuition and modelling limitations.

Lesson 9.1 · Core

Exponential, gamma and chi-square

Depth: Working proficiency; exponential problems at interview mastery

QT/QR relevance: Both; waiting times and later Gaussian calculations

Lesson 9.2 · Core

Normal distributions and standardisation

Depth: Interview mastery

QT/QR relevance: Both; uncertainty calculations and approximation

Lesson 9.3 · Core

Beta distributions

Depth: Working proficiency

QT/QR relevance: Especially QR; uncertain probabilities and ranked observations

Lesson 9.4 · Core

Lognormal distributions and multiplicative outcomes

Depth: Working proficiency

QT/QR relevance: Both; multiplicative toy models and positive quantities

Lesson 9.5 · Core · QR Extension

Heavy tails and nonexistent moments

Depth: Working proficiency; general heavy-tail theory is an extension

QT/QR relevance: Both, especially QR; recognising failures of mean/variance-based reasoning

Assessment

Module 9 assessment

Open assessment · No submitted assessment yet