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Convolution equivalence and infinite divisibility
10 references·8 citing·22 second hop
Convolution equivalence and infinite divisibility (2004)Convolution equivalence and infinite divi…Subexponential Distributions (2004)Subexponential DistributionsStochastic Processes for Insurance and Finance (2001)Stochastic Processes for Insu…Stochastic Processes for Insurance & Finance (1999)Stochastic Processes for Insu…Generalized Gamma Convolutions and Related Classes of Distributions and Densities (1992)Generalized Gamma Convolution…Subexponential distributions and integrated tails (1988)Subexponential distributions …Convolutions of Distributions With Exponential and Subexponential Tails (1987)Convolutions of Distributions…Convolution tails, product tails and domains of attraction (1986)Convolution tails, product ta…On closure and factorization properties of subexponential and related distributions (1980)On closure and factorization …Subexponentiality and infinite divisibility (1979)Subexponentiality and infinit…The Class of Subexponential Distributions (1975)The Class of Subexponential D…Extremal dependence of random scale constructions (2019)Extremal dependence of random…Ratio of the Tail of an Infinitely Divisible Distribution on the Line to that of its Lévy Measure (2010)Ratio of the Tail of an Infin…On the asymptotic behaviour of Lévy processes, Part I: Subexponential and exponential processes (2008)On the asymptotic behaviour o…From light tails to heavy tails through multiplier (2008)From light tails to heavy tai…The subexponentiality of products revisited (2007)The subexponentiality of prod…Lower limits and equivalences for convolution tails (2007)Lower limits and equivalences…Convolution Equivalence and Infinite Divisibility: Corrections and Corollaries (2007)Convolution Equivalence and I…Extremal behavior of stochastic volatility models (2006)Extremal behavior of stochast…On the tails of waiting-time distributions (1975)Large deviations of heavy-tailed random sums with applications in insurance and finance (1997)Limit Theory for Moving Averages of Random Variables with Regularly Varying Tail Probabilities (1985)Ruin Probabilities and Overshoots for General Lévy Insurance Risk Processes (2004)Overshoots and undershoots of Lévy processes (2006)Estimates for the probability of ruin with special emphasis on the possibility of large claims (1982)Uniform Asymptotics for the Finite-Time Ruin Probability of a Dependent Risk Model with a Constant Interest Rate (2011)Modelling Extremal Events (1997)Appendix: A primer on heavy-tailed distributions (1999)Rare Events Simulation for Heavy-Tailed Distributions (2000)Infinite divisibility and generalized subexponentiality (2005)Explosive Poisson Shot Noise Processes with Applications to Risk Reserves (1995)Multivariate subordination, self-decomposability and stability (2001)The Theory of Scale Functions for Spectrally Negative Lévy Processes (2012)Optimal Proportional Reinsurance Policies in a Dynamic Setting (2001)On minimizing the ruin probability by investment and reinsurance (2002)On the optimal dividend problem for a spectrally negative Lévy process (2007)Subexponential distribution functions (1980)Subexponential distributions and characterizations of related classes (1989)Subexponential asymptotics for stochastic processes: extremal behavior, stationary distributions and first passage probabilities (1998)Fitting Tweedie's Compound Poisson Model to Insurance Claims Data: Dispersion Modelling (2002)Quantifying Distributional Model Risk via Optimal Transport (2019)
this work references cited by second hop

References

  • 2001Stochastic Processes for Insurance and Finance839 cited
  • 1999Stochastic Processes for Insurance & Finance775 cited
  • 1992Generalized Gamma Convolutions and Related Classes of Distributions and Densities318 cited
  • 1988Subexponential distributions and integrated tails318 cited
  • 1979Subexponentiality and infinite divisibility307 cited
  • 1980On closure and factorization properties of subexponential and related distributions286 cited
  • 1975The Class of Subexponential Distributions201 cited
  • 1986Convolution tails, product tails and domains of attraction195 cited
  • 1987Convolutions of Distributions With Exponential and Subexponential Tails150 cited
  • 2004Subexponential Distributions144 cited

Cited by

  • 2007Lower limits and equivalences for convolution tails63 cited
  • 2008From light tails to heavy tails through multiplier58 cited
  • 2007The subexponentiality of products revisited57 cited
  • 2010Ratio of the Tail of an Infinitely Divisible Distribution on the Line to that of its Lévy Measure57 cited
  • 2006Extremal behavior of stochastic volatility models52 cited

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  • 2008On the asymptotic behaviour of Lévy processes, Part I: Subexponential and exponential processes45 cited
  • 2007Convolution Equivalence and Infinite Divisibility: Corrections and Corollaries45 cited
  • 2019Extremal dependence of random scale constructions42 cited