Complex behaviour in many systems arises from the stochastic interactions of spatially distributed particles or agents. Stochastic reaction–diffusion processes are widely used to model such behaviour ...

Stochastic processes provide a mathematical framework to describe systems evolving under intrinsic randomness, while anomalous diffusion refers to the deviation from classical Brownian motion where ...

This is a preview. Log in through your library . Abstract This article presents a new modeling strategy in functional data analysis. We consider the problem of estimating an unknown smooth function ...

This article empirically compares the Markov-switching and stochastic volatility diffusion models of the short rate. The evidence supports the Markov-switching diffusion model. Estimates of the ...