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Probability for Quants

Module 10:
Joint distributions and dependence

Phase 2 · Mathematical Probability

5 Lessons

Module 10

What this module is for

Both. Move from individual uncertainty to interacting quantities. Applications include aggregating PnL, combining signals and checking diversification assumptions.

Lesson 10.1 · Core

Joint PMFs and random vectors

Depth: Working proficiency

QT/QR relevance: Both; modelling multiple uncertain quantities

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Lesson 10.2 · Core

Joint densities and support

Depth: Interview mastery

QT/QR relevance: Both, especially QR; multivariate calculations

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Lesson 10.3 · Core

What independence does and does not imply

Depth: Interview mastery

QT/QR relevance: Both; detecting invalid model simplifications

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Lesson 10.4 · Core

Covariance, correlation and aggregate variance

Depth: Interview mastery

QT/QR relevance: Both; aggregate risk and signal relationships

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Lesson 10.5 · Core

Covariance matrices and valid dependence models

Depth: Working proficiency; advanced for general matrix arguments

QT/QR relevance: Especially QR; multivariate risk models

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Assessment

Module 10 assessment

Open assessment · No submitted assessment yet

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