A Course in Credibility Theory and its Applications / Edition 1

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This book is ideal for practicing experts in particular actuaries in the field of property-casualty insurance, life insurance, reinsurance and insurance supervision, as well as teachers and students. It provides an exploration of Credibility Theory, covering most aspects of this topic from the simplest case to the most detailed dynamic model. The book closely examines the tasks an actuary encounters daily: estimation of loss ratios, claim frequencies and claim sizes.

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Editorial Reviews

From the Publisher
From the reviews:

"The book is aimed at teachers and students as well as practicing experts in the financial area … . Persons working in the wider world of finance will also find many relevant ideas and examples even though credibility methods have not yet been widely applied here. The book covers the subject of Credibility Theory extensively and includes most aspects of this topic from the simplest case to the most general dynamic model." (Zeitschrift für die gesamte Versicherungswissenschaft, Issue 2, 2006)

"The authors … have done an excellent job while explaining the basic concept and at the same time elaborating on the practical problems actuaries encounter. … The book is aimed at teachers, students and practising experts, especially actuaries working in property-casualty insurance. … The book has relevant practical examples and exercises which practitioners might find useful. It may be useful for students/non-actuaries who do not have a statistical background … ." (Gautam Kakar, Annals of Actuarial Science, Vol. 2 (2), 2007)

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Product Details

  • ISBN-13: 9783540257530
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 8/28/2005
  • Series: Universitext Series
  • Edition description: 2005
  • Edition number: 1
  • Pages: 338
  • Product dimensions: 6.24 (w) x 9.28 (h) x 0.81 (d)

Meet the Author

Hans Bühlmann

Hans Bühlmann is professor emeritus of ETH Zürich, 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, Università 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.

Alois Gisler

Alois Gisler is chief actuary at Winterthur Insurance Company and professor at ETH Zürich, where he teaches non-life insurance mathematics and credibility. He wrote his doctoral thesis with Hans Bühlmann 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.


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Table of Contents

The Bayes Premium.- Credibility Estimators.- The Bühlmann-Straub Model.- Treatment of Large Claims in Credibility.- Hierarchical Credibility.- Multidimensional Credibility.- Credibility in the Regression Case.- Evolutionary Credibility Models and Recursive Calculation.- Multidimensional Evolutionary Models and Recursive Calculation.

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