Consider trade in continuous time between two players. The gains from trade are divided according to a contract, and at each point in time, either player may unilaterally induce a costly adjustment of the contract. Players' payoffs from trade under the contract, as well as from trade under an...

Necessary and sufficient conditions for uniform geometric convergence in the relative supremum norm of the Metropolis-Hastings simulation algorithm with a general generating function are established. An explicit expression for the convergence rate is given.

Building on the work of Bedford, Cooke and Joe, we show how multivariate data, which exhibit complex patterns of dependence in the tails, can be modelled using a cascade of pair-copulae, acting on two variables at a time. We use the pair-copula decomposition of a general multivariate...

Due to their high flexibility, yet simple structure, pair-copula constructions (PCCs) are becoming increasingly popular for constructing continuous multivariate distributions. However, inference requires the simplifying assumption that all the pair-copulae depend on the conditioning variables...

The Metropolis Adjusted Langevin Algorithm (MALA) samples from complex multivariate densities [pi]. The proposal density is based on a discretized version of a Langevin diffusion, and is well defined only for continuously differentiable densities [pi]. We propose a modified MALA algorithm when...

On a finite sublattice [Lambda] of Z2, consider a free-boundary Ising model X with inverse temperature [beta] 0 and without external field. Assume that each spin is flipped with unknown probability [epsilon], independently for each site and of X. This has been suggested as a stochastic model...

The problem of reconstructing the source-sink dynamics arises in many biological systems. Our research is motivated by marine applications where newborns are passively dispersed by ocean currents from several potential spawning sources to settle in various nursery regions that collectively...