Non-Life Insurance Mathematics

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Springer Science & Business Media, Jun 19, 1997 - Business & Economics - 136 pages
The book gives a comprehensive overview of modern non-life actuarial science. It starts with a verbal description (i.e. without using mathematical formulae) of the main actuarial problems to be solved in non-life practice. Then in an extensive second chapter all the mathematical tools needed to solve these problems are dealt with - now in mathematical notation. The rest of the book is devoted to the exact formulation of various problems and their possible solutions. Being a good mixture of practical problems and their actuarial solutions, the book addresses above all two types of readers: firstly students (of mathematics, probability and statistics, informatics, economics) having some mathematical knowledge, and secondly insurance practitioners who remember mathematics only from some distance. Prerequisites are basic calculus and probability theory.
 

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Contents

Problems
1
Tools
7
22 Distributions for K and X
16
23 Moments
21
24 The Total Claims Cost Z
29
25 Cramers Inequality
36
26 Dependent Variables
42
Premiums
52
Reinsurance
68
Retentions
76
Statistics
89
Reserves
102
Solutions
116
82 Exact Credibility
119
83 Closing the Circle
126
References
131

32 Theoretical Principles
54
33 Experience Rating
59

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Page 131 - Barlow R., Proschan F., Statistical Theory of Reliability and Life Testing, Holt, Rinehart and Winston, New York, 1975 [2] Comtet L., Advanced Combinatorics, D.

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