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Estimating the Gerber–Shiu function by Fourier–Sinc series expansion
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Estimating the Gerber–Shiu function by Fourier–Sinc series expansion (2016)Estimating the Gerber–Shiu function by Fo…Nonparametric estimate of the ruin probability in a pure-jump Lévy risk model (2013)Nonparametric estimate of the…On a nonparametric estimator for ruin probability in the classical risk model (2012)On a nonparametric estimator …Non-parametric estimation of the Gerber–Shiu function for the Wiener–Poisson risk model (2010)Non-parametric estimation of …Gerber–Shiu analysis in a perturbed risk model with dependence between claim sizes and interclaim times (2010)Gerber–Shiu analysis in a per…The perturbed compound Poisson risk model with two-sided jumps (2009)The perturbed compound Poisso…Nonparametric estimation of ruin probabilities given a random sample of claims (2008)Nonparametric estimation of r…A new aspect of a risk process and its statistical inference (2008)A new aspect of a risk proces…On the expected discounted penalty function for a perturbed risk process driven by a subordinator (2006)On the expected discounted pe…The Gerber–Shiu function in a Sparre Andersen risk process perturbed by diffusion (2005)The Gerber–Shiu function in a…Semiparametric Estimation for Non-Ruin Probabilities (2003)Semiparametric Estimation for…On the expectations of the present values of the time of ruin perturbed by diffusion (2003)On the expectations of the pr…A generalized defective renewal equation for the surplus process perturbed by diffusion (2002)A generalized defective renew…On the discounted distribution functions of the surplus process perturbed by diffusion (2001)On the discounted distributio…On the Time Value of Ruin (1998)On the Time Value of RuinOn the discounted penalty at ruin in a jump-diffusion and the perpetual put option (1998)On the discounted penalty at …An extension of the renewal equation and its application in the collective theory of risk (1970)An extension of the renewal e…Estimating the discounted density of the deficit at ruin by Fourier cosine series expansion (2018)Estimating the discounted den…Continuous Martingales and Brownian Motion (1991)Risk theory for the compound Poisson process that is perturbed by diffusion (1991)Gerber–Shiu discounted penalty function in a Sparre Andersen model with multi-layer dividend strategy (2007)An algebraic operator approach to the analysis of Gerber–Shiu functions (2009)A quintuple law for Markov additive processes with phase-type jumps (2010)An introduction to mathematical risk theory (1979)Option pricing by Esscher transforms. (1995)Optimal Dividends (2004)Insurance Risk and Ruin (2005)Fluctuations of Lévy Processes with Applications (2014)Modelling of extremal events in insurance and finance (1994)Stochastic Processes for Insurance and Finance (1999)Stochastic Processes for Insurance and Finance (2001)A Direct Approach to the Discounted Penalty Function (2010)On the threshold dividend strategy for a generalized jump–diffusion risk model (2010)Estimating Gerber–Shiu functions from discretely observed Lévy driven surplus (2017)Lundberg Approximations for Compound Distributions with Insurance Applications (2001)Collective Risk Theory (2004)The distribution of the dividend payments in the compound poisson risk model perturbed by diffusion (2006)On a generalization of the Gerber–Shiu function to path-dependent penalties (2009)Estimates for the probability of ruin with special emphasis on the possibility of large claims (1982)Insurance: Mathematics and Economics (2004)A new efficient method for estimating the Gerber–Shiu function in the classical risk model (2017)Estimating the Gerber–Shiu function in a Lévy risk model by Laguerre series expansion (2018)Modern Actuarial Theory and Practice (2020)Aspects of Risk Theory (1991)The joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin (1997)Theory of Rational Option Pricing (1973)Ruin probabilities and overshoots for general Lévy insurance risk processes (2004)Ruin Probabilities and Overshoots for General Lévy Insurance Risk Processes (2004)Theory of rational option pricing (2005)Handbook of Brownian Motion — Facts and Formulae (1996)An Introduction to Copulas (1999)Handbook of Brownian Motion - Facts and Formulae (2002)On a renewal risk process with dependence under a Farlie–Gumbel–Morgenstern copula (2012)Risk processes perturbed by α-stable Lévy motion (1998)The Expected Discounted Penalty at Ruin for a Markov-Modulated Risk Process Perturbed by Diffusion (2007)
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References

  • 1998On the Time Value of Ruin786 cited
  • 1998On the discounted penalty at ruin in a jump-diffusion and the perpetual put option180 cited
  • 1970An extension of the renewal equation and its application in the collective theory of risk141 cited
  • 2002A generalized defective renewal equation for the surplus process perturbed by diffusion111 cited
  • 2009The perturbed compound Poisson risk model with two-sided jumps58 cited
  • 2005The Gerber–Shiu function in a Sparre Andersen risk process perturbed by diffusion51 cited
  • 2001On the discounted distribution functions of the surplus process perturbed by diffusion48 cited
  • 2008Nonparametric estimation of ruin probabilities given a random sample of claims45 cited
  • 2010Non-parametric estimation of the Gerber–Shiu function for the Wiener–Poisson risk model45 cited
  • 2010Gerber–Shiu analysis in a perturbed risk model with dependence between claim sizes and interclaim times41 cited
  • 2003On the expectations of the present values of the time of ruin perturbed by diffusion41 cited
  • 2013Nonparametric estimate of the ruin probability in a pure-jump Lévy risk model34 cited
  • 2012On a nonparametric estimator for ruin probability in the classical risk model33 cited
  • 2008A new aspect of a risk process and its statistical inference33 cited

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  • 2003Semiparametric Estimation for Non-Ruin Probabilities32 cited
  • 2006On the expected discounted penalty function for a perturbed risk process driven by a subordinator30 cited
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    • 2018Estimating the discounted density of the deficit at ruin by Fourier cosine series expansion28 cited