Module 12:
Functions, sums and transformations of random variables

Module 12

What this module is for

Both. Teach students to derive new distributions rather than only recognise existing ones.

Lesson 12.1 · Core

The CDF method

Depth: Interview mastery

QT/QR relevance: Both; distributions of derived quantities

Lesson 12.2 · Core

Monotone and non-monotone transformations

Depth: Working proficiency

QT/QR relevance: Both, especially QR; nonlinear modelling

Lesson 12.3 · Core

Sums, differences and convolution

Depth: Interview mastery

QT/QR relevance: Both; aggregating uncertainty

Lesson 12.4 · QR Core · QT Optional

Multivariable transformations

Depth: Advanced / quant researcher depth

QT/QR relevance: Especially QR; transformed multivariate models

Lesson 12.5 · Core

Probability integral transforms and inverse sampling

Depth: Working proficiency

QT/QR relevance: Both; simulation and distributional transformations

Assessment

Module 12 assessment

Open assessment · No submitted assessment yet