“Inequality is bad for economic growth and bad for poverty reduction. In the past researchers were not able to exactly quantify the effect of inequality in the context of economic shocks. This graph ...

“One of the basic axioms of the rational theory of decision under uncertainty is Savage’s (1954) sure-thing principle (STP). It states that if prospect x is preferred to y knowing that Event A ...

Journal of Applied Probability, Vol. 22, No. 4 (Dec., 1985), pp. 836-843 (8 pages) Let A1, A2, ⋯, An be events on a probability space. Denote by Sk the kth binomial moment of the number Mn of those ...

Several important multivariate probability inequalities can be formulated in terms of multivariate convolutions of the form ∫ $f_{1}(x)f_{2}(x-\theta )dx$, where ...

Income inequality theory is a lot like ancient astronaut theory, in that in order to believe in it, you have to disregard a lot of evidence to the contrary. Let's start with the most basic premise of ...

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 ...