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Heavy Tails of Discounted Aggregate Claims in the Continuous-Time Renewal Model
11 references·6 citing·30 second hop
Heavy Tails of Discounted Aggregate Claims in the Continuous-Time Renewal Model (2007)Heavy Tails of Discounted Aggregate Claim…The ruin probability of the renewal model with constant interest force and negatively dependent heavy-tailed claims (2006)The ruin probability of the r…The finite-time ruin probability of the compound Poisson model with constant interest force (2005)The finite-time ruin probabil…Finite- and infinite-time ruin probabilities in the presence of stochastic returns on investments (2004)Finite- and infinite-time rui…Randomly Weighted Sums of Subexponential Random Variables with Application to Ruin Theory (2003)Randomly Weighted Sums of Sub…Applied Probability and Queues (2003)Applied Probability and QueuesRuin probabilities in the presence of heavy-tails and interest rates (1998)Ruin probabilities in the pre…Modelling Extremal Events (1997)Modelling Extremal EventsLarge deviations of heavy-tailed random sums with applications in insurance and finance (1997)Large deviations of heavy-tai…Modelling of extremal events in insurance and finance (1994)Modelling of extremal events …Applied Probability and Queues (1987)Applied Probability and QueuesSubexponential distributions and dominated-variation tails (1978)Subexponential distributions …Asymptotics for a delay-claim risk model with diffusion, dependence structures and constant force of interest (2019)Asymptotics for a delay-claim…Uniform asymptotics for ruin probabilities in a dependent renewal risk model with stochastic return on investments (2017)Uniform asymptotics for ruin …Finite-time and infinite-time ruin probabilities in a two-dimensional delayed renewal risk model with Sarmanov dependent claims (2016)Finite-time and infinite-time…Uniform asymptotic estimate for finite-time ruin probabilities of a time-dependent bidimensional renewal model (2015)Uniform asymptotic estimate f…A note on discounted compound renewal sums under dependency (2012)A note on discounted compound…Asymptotics for ruin probability of some negatively dependent risk models with a constant interest rate and dominatedly-varying-tailed claims (2009)Asymptotics for ruin probabil…Extreme Values, Regular Variation and Point Processes (1987)Conditional value-at-risk for general loss distributions (2002)Correlation and Dependence in Risk Management: Properties and Pitfalls (2002)Top Incomes in the Long Run of History (2011)Subexponentiality of the product of independent random variables (1994)Sums of Pairwise Quasi-Asymptotically Independent Random Variables with Consistent Variation (2009)Randomly weighted sums of subexponential random variables with application to capital allocation (2014)Estimates for the probability of ruin with special emphasis on the possibility of large claims (1982)Large Deviations of Heavy-Tailed Sums with Applications in Insurance (1998)Subexponential Distributions (2004)On the tails of waiting-time distributions (1975)The Class of Subexponential Distributions (1975)Asymptotic behaviour of Wiener-Hopf factors of a random walk (1977)A property of longtailed distributions (1984)On the non-closure under convolution of the subexponential family (1989)Infinite divisibility and generalized subexponentiality (2005)Estimates for the ruin probability in the classical risk model with constant interest force in the presence of heavy tails (2002)Ruin models with investment income (2008)Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks (1992)Dynamic server allocation to parallel queues with randomly varying connectivity (1993)Asset Pricing with Heterogeneous Consumers (1996)A note on a dependent risk model with constant interest rate (2011)Uniform asymptotics for the finite-time ruin probabilities of two kinds of nonstandard bidimensional risk models (2012)The Tail Probability of Discounted Sums of Pareto-like Losses in Insurance (2005)Approximation of the tail probability of randomly weighted sums and applications (2008)Empirical properties of asset returns: stylized facts and statistical issues (2001)Extreme Correlation of International Equity Markets (2001)An Introduction to Numerical Transform Inversion and Its Application to Probability Models (2000)M/G/1 queue with multiple working vacations (2005)A Stochastic Model for Order Book Dynamics (2010)
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References

  • 1997Modelling Extremal Events4,397 cited
  • 1994Modelling of extremal events in insurance and finance3,519 cited
  • 1987Applied Probability and Queues2,704 cited
  • 2003Applied Probability and Queues1,453 cited
  • 1997Large deviations of heavy-tailed random sums with applications in insurance and finance176 cited
  • 2004Finite- and infinite-time ruin probabilities in the presence of stochastic returns on investments146 cited
  • 2003Randomly Weighted Sums of Subexponential Random Variables with Application to Ruin Theory138 cited
  • 1998Ruin probabilities in the presence of heavy-tails and interest rates113 cited
  • 2005The finite-time ruin probability of the compound Poisson model with constant interest force99 cited
  • 1978Subexponential distributions and dominated-variation tails87 cited
  • 2006The ruin probability of the renewal model with constant interest force and negatively dependent heavy-tailed claims81 cited

Cited by

  • 2009Asymptotics for ruin probability of some negatively dependent risk models with a constant interest rate and dominatedly-varying-tailed claims52 cited
  • 2017Uniform asymptotics for ruin probabilities in a dependent renewal risk model with stochastic return on investments34 cited
  • 2016Finite-time and infinite-time ruin probabilities in a two-dimensional delayed renewal risk model with Sarmanov dependent claims

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31 cited
  • 2019Asymptotics for a delay-claim risk model with diffusion, dependence structures and constant force of interest31 cited
  • 2015Uniform asymptotic estimate for finite-time ruin probabilities of a time-dependent bidimensional renewal model30 cited
  • 2012A note on discounted compound renewal sums under dependency29 cited