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Actuarial models : the mathematics of insurance

Author: V I Rotarʹ
Publisher: Boca Raton, FL : CRC Press, [2015] ©2015
Edition/Format:   eBook : Document : English : Second editionView all editions and formats

Suitable for students preparing for level 300 actuarial exams in the US, this book provides comprehensive information for actuaries and researchers. It contains topics such as modern utility theory,  Read more...


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Genre/Form: Electronic books
Additional Physical Format: Print version:
Rotarʹ, V. I. (Vladimir Ilʹich).
Actuarial models.
Boca Raton, FL : CRC Press, [2015]
(DLC) 2014019435
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: V I Rotarʹ
ISBN: 9781482227093 1482227096 9781482227079 148222707X
OCLC Number: 900464539
Notes: "A Chapman & Hall book."
Description: 1 online resource (xix, 628 pages) : illustrations
Contents: Preliminary Facts from Probability and Interest Probability and Random VariablesExpectationSome Basic DistributionsMoment Generating FunctionsConvergence of Random Variables and DistributionsLimit TheoremsConditional Expectations. ConditioningElements of the Theory of InterestComparison of Random Variables. Preferences of Individuals A General Framework and First Criteria Comparison of R.V.s and Limit TheoremsExpected UtilityNon-Linear CriteriaOptimal Payment from the Standpoint of an InsuredAn Individual Risk Model for a Short Period The Distribution of an Individual Payment The Aggregate PaymentPremiums and Solvency. Approximations for Aggregate Claim DistributionsSome General Premium Principles A Collective Risk Model for a Short PeriodThree Basic PropositionsCounting or Frequency DistributionsThe Distribution of the Aggregate Claim Premiums and Solvency. Normal ApproximationRandom Processes and Their Applications I A General Framework and Typical Situations Poisson and Other Counting Processes Compound Processes Markov Chains. Cash Flows in the Markov EnvironmentRandom Processes and Their Applications II Brownian Motion and Its GeneralizationsMartingalesGlobal Characteristics of the Surplus Process A General Framework Ruin ModelsCriteria Connected with Paying DividendsSurvival Distributions The Probability Distribution of LifetimeA Multiple Decrement ModelMultiple Life ModelsLife Insurance Models A General Model Some Particular Types of ContractsVarying Benefits Multiple Decrement and Multiple Life Models On the Actuarial NotationAnnuity Models Two Approaches to the Evaluation of Annuities Level Annuities. A Connection with InsuranceSome Particular Types of Level Annuities More on Varying Payments Annuities with m-thly Payments Multiple Decrement and Multiple Life ModelsPremiums and Reserves Premium AnnuitiesReservesPensions Plans Valuation of Individual Pension PlansPension Funding. Cost MethodsRisk Exchange: Reinsurance and CoinsuranceReinsurance from the Standpoint of a CedentRisk Exchange and Reciprocity of CompaniesReinsurance MarketAppendixReferences Answers to Exercises IndexExercises appear at the end of each chapter.
Other Titles: Mathematics of insurance
Responsibility: Vladimir I. Rotar.


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