Learn how probability distributions help investors assess potential returns and manage risks on assets like stocks. Discover key types: discrete and continuous distributions.

This is a graduate-level course focused on techniques and models in modern discrete probability. Topics include: the first and second moment methods, martingales, concentration inequalities, branching ...

Learn how the probability density function (PDF) helps financial analysts assess the distribution of stock or ETF returns, ...

This is a graduate-level course focused on techniques and models in modern discrete probability. Topics include: the first and second moment methods, Chernoff bounds and large deviations, martingales, ...

A random variable that can take only a certain specified set of individual possible values-for example, the positive integers 1, 2, 3, . . . For example, stock prices are discrete random variables, ...