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Analysis of the Ruin Probabilty Using Laplace Transforms and Karamata Tauberian Theorem
decays exponen- tially fast as the initial capital u → ∞. In this note, the asymptotic behavior of the ... presents an exponential decay as the initial capital u→∞ (Cramer, 1930). If the Cramer-Lundberg condition ...- Authors: CORINA DANA CONSTANTINESCU, Enrique Thomann
- Date: Sep 2008
- Competency: External Forces & Industry Knowledge>Actuarial theory in business context
- Topics: Finance & Investments>Risk measurement - Finance & Investments; Modeling & Statistical Methods>Stochastic models
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An Integro-differential Equation for a Sparre Andersen Model with Investments
motion. Sparre Andersen model Ut = u + ct − N(t)∑ k=1 Xk • u -initial surplus • c -premium rate • ... Tu = inf t≥0 {U(t) < 0 | U(0) = u} The probability of ruin with infinite horizon: Ψ(u) = P(Tu <∞).- Authors: CORINA DANA CONSTANTINESCU, Enrique Thomann
- Date: Jan 2007
- Competency: Technical Skills & Analytical Problem Solving>Problem analysis and definition; Technical Skills & Analytical Problem Solving>Process and technique refinement
- Topics: Modeling & Statistical Methods>Stochastic models