34 citations · 69 across the 24 of their papers we have counts for
6 papers · 1 filter
On Tournaments and Negative Dependence
Yaakov Malinovsky, Yosef Rinott
Negative dependence of sequences of random variables is often an interesting characteristic of their distribution, as well as a useful tool for studying various asymptotic results,…
A BKR operation for events occurring for disjoint reasons with high probability
Larry Goldstein, Yosef Rinott
Given events and on a product space , the set consists of all vectors for which there exist disjoint coordi…
Functional van den Berg-Kesten-Reimer Inequalities and their Duals, with Applications
Larry Goldstein, Yosef Rinott
The BKR inequality conjectured by van den Berg and Kesten in [11], and proved by Reimer in [8], states that for and events on , a finite product of finite sets $S_i,i=1,…
On Optimal Allocation of a Continuous Resource Using an Iterative Approach and Total Positivity
Jay Bartroff, Larry Goldstein, Yosef Rinott +1
We study a class of optimal allocation problems, including the well-known Bomber Problem, with the following common probabilistic structure. An aircraft equipped with an amount~…
Evolutionarily stable strategies of random games, and the vertices of random polygons
Sergiu Hart, Yosef Rinott, Benjamin Weiss
An evolutionarily stable strategy (ESS) is an equilibrium strategy that is immune to invasions by rare alternative (``mutant'') strategies. Unlike Nash equilibria, ESS do not alway…
Multivariate normal approximations by Stein's method and size bias couplings
Larry Goldstein, Yosef Rinott
Stein's method is used to obtain two theorems on multivariate normal approximation. Our main theorem, Theorem 1.2, provides a bound on the distance to normality for any nonnegative…