Statistical inference for interacting innovation processes and related general results

Given the importance of understanding how different innovation processes affect each other, we have introduced a model for a finite system of interacting innovation processes. The present work focuses on the second-order asymptotic properties of the model and illustrates how to leverage the theoretical results in order to make statistical inference on the intensity of the interaction. This methodology is presented within a general framework in the supplementary material to ensure its broad applicability across various contexts. We apply the proposed tools to two real data sets (from Reddit and Gutenberg).