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 ...

A new pandemic appeared at the beginning of 2019 till March 2020 called the COVID-19 (Feroze 1). Because of the lockout, COVID-19 has the greatest impact on human life and the economy. Pakistan is the ...

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, ...

Discrete diffusion models typically rely on dimension-wise factorization to avoid computational intractability. However, we rigorously prove this approach leads to worst-case errors scaling linearly ...