Mathematical Methods in Risk Theory - Hans Bühlmann

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Résumé :
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

Biographie:
Hans B?hlmann Hans B?hlmann is professor emeritus of ETH Z?rich, where he taught mathematics for more than thirty years. He has held visiting appointments at UC Berkeley, University of Michigan, UL Bruxelles, University of Tokyo, University of Manitoba, Universit? La Sapienza in Rome, Scuola Normale Superiore Pisa. His interest in actuarial science dates back to his first employment after his doctorate, when he worked in the insurance industry. His book Mathematical Methods in Risk Theory (Springer Grundlehren) is a classic in the actuarial literature. www.math.ethz.ch/~hbuhl Alois Gisler Alois Gisler is chief actuary at Winterthur Insurance Company and professor at ETH Z?rich, where he teaches non-life insurance mathematics and credibility. He wrote his doctoral thesis with Hans B?hlmann at ETH, and since then has worked for more than twenty years in the insurance industry. While a full time practising actuary, he has always kept in close contact with actuarial science: he was co-editor of the ASTIN-Bulletin for 10 years and has published many articles, mainly in credibility theory. www.math.ethz.ch/~gisler...

Sommaire:
The Theoretical Model.- Probability Aspects of Risk.- The Risk Process.- The Risk in the Collective.- Consequences of the Theoretical Model.- Premium Calculation.- Retentions and Reserves.- The Insurance Carrier's Stability Criteria.