Central Limit-Type Theorems

Chapter 2 was devoted to limit passages of sequences of individual-based models to some, usually deterministic, limit. Here we investigate the behaviour of the fluctuation processes, i.e. the difference between the converging process and the limit. We show that after appropriate rescaling the fluctuation process can converge to some Gaussian process. We use this approach to the models from the previous chapter to prove examples of CLT-type theorems.