Asymptotic normality of shot noise on Poisson cluster processes with cluster marks

Asymptotic normality is established for shot noise on Poisson cluster point processes with cluster marks, in the case that the shot noise has finite variance tending to infinity with time. Introducing straightforward conditions on the cluster model and response function, this extends previous work in the literature for the case of no clustering and supports greater flexibility in applying shot noise models. The results are illustrated in detail for power law shot noise and other forms of response function which arise in diverse applications such as semiconductor noise, Cherenkov radiation, biological information communication, financial modeling, insurance, and immigration-death processes