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7CCMFM01
7
Autumn
15
Syllabus
Probability measures, sigma-algebras and probability spaces. Random variables and their distributions. Integration with respect to a probability measure. Expectation, moments and generating functions. Independent random variables. Modes of convergence in probability theory. Conditional expectation.
The objective of the module is to introduce the standard concepts of modern probability, which is a key ingredient for understanding financial mathematics and other applied areas.
Two hours of lectures, 1 tutorial and 1 walk-in tutorial per week
Suggested reading/resources (link to My Reading Lists)
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Please note that modules with a practical component will be capped due to educational requirements, which may mean that we cannot guarantee a place to all students who elect to study this module.
Please note that the module descriptions above are related to the current academic year and are subject to change.