Convergence and asymptotic variance of bootstrapped finite-time ruin probabilities with partly shifted risk processes
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Publication:659157
DOI10.1016/j.insmatheco.2009.08.003zbMath1231.91213OpenAlexW2081439526MaRDI QIDQ659157
Didier Rullière, Christian Mazza, Stéphane Loisel
Publication date: 10 February 2012
Published in: Insurance Mathematics \& Economics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.insmatheco.2009.08.003
robustnessasymptotic normalityinfluence functionfinite-time ruin probabilitySolvency IIestimation risk solvency margin (ERSM)partly shifted risk processreliable ruin probability
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Cites Work
- Unnamed Item
- Another look at the Picard--Lefèvre formula for finite-time ruin probabilities
- A link between wave governed random motions and ruin processes
- Finite-time ruin probabilities for discrete, possibly dependent, claim severities
- Nonparametric estimators for the probability of ruin
- Robustness analysis and convergence of empirical finite-time ruin probabilities and estimation risk solvency margin
- Sensitivity analysis and density estimation for finite-time ruin probabilities
- Impact of correlation crises in risk theory: Asymptotics of finite-time ruin probabilities for heavy-tailed claim amounts when some independence and stationarity assumptions are relaxed
- On finite-time ruin probabilities for classical risk models
- A Generalization of the Ballot Problem and its Application in the Theory of Queues
- The Influence Curve and Its Role in Robust Estimation
- The probability of ruin in finite time with discrete claim size distribution
- Nonparametric Estimation of the Ruin Probability for Generalized Risk Processes
- Erlangian Approximations for Finite-Horizon Ruin Probabilities
- The Time Dependence of a Single-Server Queue with Poisson Input and General Service Times
- A Class of Statistics with Asymptotically Normal Distribution
- On the Asymptotic Distribution of Differentiable Statistical Functions
- Robust Statistics
- On robustness in risk theory