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Ruin probabilities in perturbed risk models
13 references·1 citing·42 second hop
Ruin probabilities in perturbed risk models (1998)Ruin probabilities in perturbed risk mode…Multiplexing on-off sources with subexponential on periods (2002)Multiplexing on-off sources w…Tail probabilities for non-standard risk and queueing processes with subexponential jumps (1999)Tail probabilities for non-st…Risk processes perturbed by α-stable Lévy motion (1998)Risk processes perturbed by α…A note on martingale inequalities for fluid models (1996)A note on martingale inequali…Cramér-Lundberg approximations for ruin probabilities of risk processes perturbed by diffusion (1995)Cramér-Lundberg approximation…Large claims approximations for risk processes in a Markovian environment (1994)Large claims approximations f…Exponential inequalities for ruin probabilities of risk processes perturbed by diffusion (1994)Exponential inequalities for …Asymptotic estimates for the probability of ruin in a Poisson model with diffusion (1993)Asymptotic estimates for the …Risk theory for the compound Poisson process that is perturbed by diffusion (1991)Risk theory for the compound …Convolution tails, product tails and domains of attraction (1986)Convolution tails, product ta…Estimates for the probability of ruin with special emphasis on the possibility of large claims (1982)Estimates for the probability…Subexponential distribution functions (1980)Subexponential distribution f…An extension of the renewal equation and its application in the collective theory of risk (1970)An extension of the renewal e…A large deviation result for aggregate claims with dependent claim occurrences (2005)A large deviation result for …Mathematical Methods in Risk Theory (1970)Subexponential distributions and integrated tails (1988)Optimal Proportional Reinsurance Policies in a Dynamic Setting (2001)Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks (2003)Actuarial Mathematics. (1986)On the discounted penalty at ruin in a jump-diffusion and the perpetual put option (1998)Strategies for Dividend Distribution: A Review (2009)Modeling and Evaluating Insurance Losses Via Mixtures of Erlang Distributions (2010)The Single Server Queue (1983)Aspects of Risk Theory (1991)Telecommunication traffic, queueing models, and subexponential distributions (1999)Ruin theory revisited: stochastic models for operational risk (2002)Heavy-tailed asymptotics of stationary probability vectors of Markov chains of gi/g/1 type (2005)Modelling of extremal events in insurance and finance (1994)Stable Non-Gaussian Random ProcessesGennady Samorodnitsky and Murad S. Taqqu Chapman and Hall, 1994 (1997)On max-sum equivalence and convolution closure of heavy-tailed distributions and their applications (2004)Refracted Lévy processes (2010)On the drawdown of completely asymmetric Lévy processes (2012)Some distributions for classical risk process that is perturbed by diffusion (2000)Asymptotics of ruin probabilities for controlled risk processes in the small claims case (2004)The Gerber–Shiu function in a Sparre Andersen risk process perturbed by diffusion (2005)Ruin Probabilities (2010)Applied Probability and Queues (1987)Subexponentiality of the product of independent random variables (1994)Ruin probabilities and aggregrate claims distributions for shot noise Cox processes (2006)Precise large deviations of aggregate claims in a size-dependent renewal risk model (2012)Ruin probabilities for risk processes with non-stationary arrivals and subexponential claims (2013)The Class of Subexponential Distributions (1975)On closure and factorization properties of subexponential and related distributions (1980)Convolutions of Distributions With Exponential and Subexponential Tails (1987)Subexponential distributions and characterizations of related classes (1989)Convolution equivalence and infinite divisibility (2004)Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models (1984)Continuous Martingales and Brownian Motion (1991)Rough descriptions of ruin for a general class of surplus processes (1998)Continuous Martingales and Brownian Motion (1999)On the tails of waiting-time distributions (1975)Appendix: A primer on heavy-tailed distributions (1999)Simulating heavy tailed processes using delayed hazard rate twisting (2002)Subexponential Distributions (2004)A generalized defective renewal equation for the surplus process perturbed by diffusion (2002)Collective Risk Theory (2004)
this work references cited by second hop

References

  • 1982Estimates for the probability of ruin with special emphasis on the possibility of large claims388 cited
  • 1991Risk theory for the compound Poisson process that is perturbed by diffusion298 cited
  • 1986Convolution tails, product tails and domains of attraction195 cited
  • 1980Subexponential distribution functions153 cited
  • 1970An extension of the renewal equation and its application in the collective theory of risk141 cited
  • 1999Tail probabilities for non-standard risk and queueing processes with subexponential jumps100 cited
  • 1998Risk processes perturbed by α-stable Lévy motion93 cited
  • 1995Cramér-Lundberg approximations for ruin probabilities of risk processes perturbed by diffusion69 cited
  • 1994Exponential inequalities for ruin probabilities of risk processes perturbed by diffusion62 cited
  • 1994Large claims approximations for risk processes in a Markovian environment56 cited
  • 1993Asymptotic estimates for the probability of ruin in a Poisson model with diffusion51 cited
  • 2002Multiplexing on-off sources with subexponential on periods28 cited
  • 1996A note on martingale inequalities for fluid models19 cited

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  • 2005A large deviation result for aggregate claims with dependent claim occurrences37 cited

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