Extensive numerical simulation of a reaction{diiusion{system reveal an unusual system size dependence of the uctuation magnitude. If denotes the system size parameter, e. g. particle number, uctua-tions are usually predicted to be of order 0:5 (stable case) or 1 (diiusion{type case). In contrast, a scaling like 0:84 is observed in a combined birth{death and random{walk process, which is describ...

We describe some recent approaches to likelihood based inference in the presence of nuisance parameters. Our approach is based on plotting the likelihood function and the p-value function, using recently developed third order approximations. Orthogonal parameters and adjustments to profile likelihood are also discussed. Connections to classical approaches of conditional and marginal inference a...

It is shown that the diffusion equation and its adjoint (time reversed) equation can be derived with only a few assumptions, using an information-theoretic approach based on the principle of minimum Fisher information. PACS: 05.40.+j; 89.70.+c