I introduce and study a fairly general imprecise secondorder uncertainty model, in terms of lower desirability. A modeller's lower desirability for a gamble is defined as her...
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Kuznetsov’s condition says that variables X and Y are independent when any product of bounded functions f(X) and g(Y) behaves in a certain way: the interval of expected values E...
This paper studies the inherent trade-off between termination probability and total step complexity of randomized consensus algorithms. It shows that for every integer k, the prob...
A lower bound on the minimum mean-squared error (MSE) in a Bayesian estimation problem is proposed in this paper. This bound utilizes a well-known connection to the deterministic e...