“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 ...

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 ...