Stochastic control in insurance

書誌事項

Stochastic control in insurance

Hanspeter Schmidli

(Probability and its applications)

Springer, c2008

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注記

Includes bibliographical references (p. [241]-249) and index

内容説明・目次

内容説明

Yet again, here is a Springer volume that offers readers something completely new. Until now, solved examples of the application of stochastic control to actuarial problems could only be found in journals. Not any more: this is the first book to systematically present these methods in one volume. The author starts with a short introduction to stochastic control techniques, then applies the principles to several problems. These examples show how verification theorems and existence theorems may be proved, and that the non-diffusion case is simpler than the diffusion case. Schmidli's brilliant text also includes a number of appendices, a vital resource for those in both academic and professional settings.

目次

Stochastic Control in Discrete Time.- Stochastic Control in Continuous Time.- Problems in Life Insurance.- Asymptotics of Controlled Risk Processes.

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