STATISTICAL SOFT COMPUTING APPROACHES IN (Computational Mathematics and Analysis)

This book reviews the application of different statistical and Soft-Computing (SC) techniques in insurance-related problems. The book has been divided into 5 chapters, with the following structure: Chapter 1 provides a comprehensive review of SC techniques in insurance problems. A review of the application of these methods in insurance problems and a case study in a real problem completes this first chapter. Chapters 2 and 3 describe two different real applications of SC techniques in insurance. In this chapter, the authors describe the main concepts related to the algorithm and discuss different application of the algorithm in the insurance sector. Chapter 3 is devoted to a state-of-the-art technique in neural computation (Support Vector Machines, SVM). Chapter 4 presents a new mathematical tool based on modal intervals that allow us to process interval data (reflecting the fact that the data we are working with is not exact) and to interpret semantically the results obtained. Chapter 5 concentrates on two well-known risk measures: the Value at Risk and the Tail Value at Risk. The authors present a new analytical expression of the Tail Value at Risk using the Normal-Power approximation and they analyse its precision.