Advances in Heavy Tailed Risk Modeling: A Handbook of Operational Risk offers a comprehensive guide to the theories, applications, and statistical methodologies essential for understanding heavy tailed loss processes in operational risk and relevant insurance analytics. Focusing on the quantitative aspects of these processes, the handbook presents cutting-edge research and practical insights. It introduces the motivation behind using heavy tailed risk models and covers advanced topics such as splice loss models, extreme value theory, heavy tailed closed form loss distribution approach models, flexible heavy tailed risk models, risk measures, and higher order asymptotic approximations of risk measures for capital estimation. This companion volume to Fundamental Aspects of Operational Risk and Insurance Analytics: A Handbook of Operational Risk provides a complete framework for all aspects of operational risk management.