The Stability and Change project aimed at and succeeded in fruitfully bringing together core groups of international top-level scholars from two different fields – those of (a) peace-and-conflict research, with associated themes from political science, and (b) methodological and applied statistics. Themes of clear shared interest for (a) and (b) include (i) modelling and analysis of of armed conflict, taking the special statistical features of violence data into account; (ii) unravelling key patterns which lead to higher risk for escalation, building upon relevant time series of violence and influential covariates; (iii) modelling, estimating, and understanding the heavy-tailed power-law distributions prevalent with violence data; (iv) how to combine information from partly very different data sources; (v) identification of trends and changepoints, e.g. regarding democracies and consequences thereof; (vi) how to count the not yet counted (as in casualties in wars); and (vii) predicting future levels of violence, along with adequate assessment of uncertainty.