03657nam 22006855 450 991029997660332120200706100531.01-4939-0995-910.1007/978-1-4939-0995-7(CKB)3710000000134383(EBL)1782057(SSID)ssj0001277927(PQKBManifestationID)11742358(PQKBTitleCode)TC0001277927(PQKBWorkID)11279023(PQKB)11128211(MiAaPQ)EBC1782057(DE-He213)978-1-4939-0995-7(PPN)179765442(EXLCZ)99371000000013438320140619d2014 u| 0engur|n|---|||||txtccrStochastic Optimization in Insurance A Dynamic Programming Approach /by Pablo Azcue, Nora Muler1st ed. 2014.New York, NY :Springer New York :Imprint: Springer,2014.1 online resource (153 p.)SpringerBriefs in Quantitative Finance,2192-7006Description based upon print version of record.1-322-13315-8 1-4939-0994-0 Includes bibliographical references and index.Stability Criteria for Insurance Companies -- Reinsurance and Investment -- Viscosity Solutions -- Characterization of Value Functions -- Optimal Strategies -- Numerical Examples -- References -- Appendix A. Probability Theory and Stochastic Processes -- Index.The main purpose of the book is to show how a viscosity approach can be used to tackle control problems in insurance. The problems covered are the maximization of survival probability as well as the maximization of dividends in the classical collective risk model. The authors consider the possibility of controlling the risk process by reinsurance as well as by investments. They show that optimal value functions are characterized as either the unique or the smallest viscosity solution of the associated Hamilton-Jacobi-Bellman equation; they also study the structure of the optimal strategies and show how to find them. The viscosity approach was widely used in control problems related to mathematical finance but until quite recently it was not used to solve control problems related to actuarial mathematical science. This book is designed to familiarize the reader on how to use this approach. The intended audience is graduate students as well as researchers in this area.SpringerBriefs in Quantitative Finance,2192-7006Economics, Mathematical ProbabilitiesInsuranceQuantitative Financehttps://scigraph.springernature.com/ontologies/product-market-codes/M13062Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Insurancehttps://scigraph.springernature.com/ontologies/product-market-codes/626030Economics, Mathematical .Probabilities.Insurance.Quantitative Finance.Probability Theory and Stochastic Processes.Insurance.368Azcue Pabloauthttp://id.loc.gov/vocabulary/relators/aut721691Muler Noraauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910299976603321Stochastic Optimization in Insurance2540399UNINA