Core unitUnit 12 of 24
Advanced Probability
Study advanced probability theory, random variables, distributions, and stochastic concepts.
Difficulty
Beginner
Estimated study
200 hours
Duration
Self-paced
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About this unit
Unit overview
This unit develops probability using a rigorous measure-based framework. You will study random variables, modes of convergence, conditional expectation and limit theorems that support modern statistics, stochastic processes and mathematical finance.
Learning outcomes
What you’ll learn
- 01Model probability spaces using sigma-algebras and probability measures
- 02Analyse distributions, expectations and conditional expectations
- 03Distinguish and apply major modes of convergence
- 04Use laws of large numbers and central limit theorems