Discover how probability distribution methods can help predict stock market returns and improve investment decisions. Learn ...

Two sufficient conditions for a two-dimensional discrete distribution to be strongly unimodal are given. The conditions apply to the marginals of a 2 × 2 contingency table with the total N given, and ...

where \(\mathsf{G}(\cdot)\) is some convex operator and \(\mathcal{F}\) is as set of feasible input distributions. Examples of such an optimization problem include finding capacity in information ...

In this paper we extend to the discrete case a Karhunen-Loève expansion already known for continuous families of classical orthogonal polynomials. This expansion involves Krawtchouk polynomials. It ...