This book presents peer-reviewed short papers on methodological and applied statistical research presented at the Italian Statistical Society’s international conference on “Statistics for Innovation”, SIS 2025, held in Genoa, Italy, June 16-18, 2025. It is the second of four volumes, featuring the first part of the contributions presented in the Contributed Sessions. Providing a comprehensive overview of innovations in modern statistical methods and applications, the volumes address a large number of topics of current interest, contributing to a rapid dissemination of quantitative methods for data analysis across the various fields of scientific research and social life. The volumes underpin the role of statistics and data science in fostering innovation in numerous fields, including business, industry, finance, technology, environment, health and medicine, official statistics, public policy, welfare, social issues and sustainable development. One of the aims of the Italian Statistical Society (SIS) is to promote scientific activities for the development of statistical sciences. Together with the biennial international Scientific Meeting, the intermediate international statistical conferences on a particular topic of interest represent the Society’s most important events which bring together national and international researchers and professionals to exchange ideas and discuss recent advances and developments in theoretical and applied statistics.