Hans Bühlmann Boeken

Credibility theory has long been a focal point of interest, leading to numerous publications and over 20 years of teaching courses on the subject. This evolution culminates in the presentation of “A Course in Credibility Theory and its Applications.” Credibility theory serves as a foundational paradigm for pricing insurance products, relying on the concepts of “individual risk” and “collective” to rigorously analyze information from these sources to determine insurance premiums. The term “credibility” originally referred to the weight assigned to individual risk experience. As a mathematical discipline, credibility theory integrates methods from various fields, including Bayesian statistics, Hilbert space techniques, least squares, and state space modeling. However, it remains a dry topic unless closely tied to real-world applications. These applications have solidified credibility's significance in insurance practice. This book aims to highlight both the theoretical and practical aspects of credibility, making it accessible to readers, including those outside the insurance field, while conveying the relevance of its applications in the industry.

From the reviews: „The huge literature in risk theory has been carefully selected and supplemented by personal contributions of the author, many of which appear here for the first time. The result is a systematic and very readable book, which takes into account the most recent developments of the field. It will be of great interest to the actuary as well as to the statistician who wants to become familiar with the subject.“ Math. Reviews Vol. 43 „It is a book of fundamental importance for all interested in the application or teaching of the subject and a significant addition to the literature.“ Journal of the Royal Statistical Society (England) 1971 „This latest addition to the literature of risk theory is a masterful work..“ Transactions, Soc of Actuaries meetings 65