Insurance and Risk Theory

Inbunden, Engelska, 1986

AvMarc Goovaerts,F. Etienne De Vylder,J. Haezendonck,F. Etienne de Vylder

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In risk theory developed to describe insurance companies [1,2,3,4,5J, the ruin probability of a company with initial reserve (capital) u is 6 1 -:;-7;;f3 u 1jJ(u) = H6 e H6 (1) Here,we assume that claims arrive as a Poisson process, and the claim amount is distributed as exponential distribution with expectation liS.

Produktinformation

Utgivningsdatum1986-03-31
Mått155 x 235 x 32 mm
Vikt916 g
FormatInbunden
SpråkEngelska
SerieNato Science Series C:
Antal sidor488
Upplaga1986
FörlagSpringer
ISBN9789027722034

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Finansiering inom Ekonomi och ledarskap

Opening session.- Invited lecture : Risk Theory, a Tool for Management?.- Main lectures.- Economic Ideas in Risk Theory.- Simulation in Insurance.- Application of the Problem of Moments to Various Insurance Problems in Non-life.- Application of Martingales in Risk Theory.- Applications of Operations-Research Techniques in Insurance.- Recent Research on the Risk Return Relationship in Financial Economics.- General Regression in Multidimensional Credibility Theory.- Ruin Theory under the Submartingale Assumption.- A rigorous Proof of a Property of the Premium Principle of Zero Utility in the Case of Additivity.- Bayesian Credibility with a Noninformative Prior.- Short communications.- Separation Theorems in Proportional Reinsurance.- A new Treatment of the Engineering Aspects of the “Zero-Infinity Dilemmas” of Industrial Risk Management.- On a Functional-Differential Equation connected with the Premium Principle of Zero Utility.- Markov Processes between Moving Barriers — Moments of the first Hitting Time of Retaining or Absorbing Barrier.- Some Mathematical Aspects of Combining Proportional and Non-Proportional Reinsurance.- The Moments of Compound Interest Functions when Interest fluctuates as a Compound Markov Chain.- Pension Funding and random Rates of Return.- Bayes Criterion, the Minimax Principle and Statistical Decision Theory.- Large Claims —.- Some Numerical Methods for Calculating Semilinear Credibility Estimators.- Weak Convergence of Risk Processes.- On the Exposed to Risk Theory.- Probability Bounds on Compound Distributions with given Moments on Claim Severities.- Additivity and Premium Calculation Principles.- Computing Moments of Compound Distributions.- Portfolio Valuation in Life Insurance.- Risk Assessment of Merger, Acquisition, andConsolidation of Financial Services.- Extending Arrow-Pratt Risk Premiums.- On Optimal Deductibles.- Solvency Margin and Profit in Life Insurance.- Statistical Methods in General Insurance.- Modelling Motor Insurance Claim Frequencies.- General Bounds on Ruin Probabilities.- Strict Liability and Insurance under Loss Misestimation.