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Tail Probabilities of Randomly Weighted Sums of Random Variables with Dominated Variation
9 references·11 citing·31 second hop
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References

  • 1997Modelling Extremal Events4,397 cited
  • 1994Modelling of extremal events in insurance and finance3,519 cited
  • 1994Subexponentiality of the product of independent random variables362 cited
  • 2003Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks346 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
  • 2001Finite and infinite time ruin probabilities in a stochastic economic environment126 cited
  • 1999On the ruin probabilities in a general economic environment112 cited
  • 2005The Tail Probability of Discounted Sums of Pareto-like Losses in Insurance104 cited

Cited by

  • 2012Tail behavior of the product of two dependent random variables with applications to risk theory85 cited
  • 2006Tail asymptotics for the sum of two heavy-tailed dependent risks79 cited
  • 2010Approximation of the tail probability of randomly weighted sums of dependent random variables with dominated variation78 cited
  • 2013On pairwise quasi-asymptotically independent random variables and their applications74 cited
  • 2008Tail probabilities for infinite series of regularly varying random vectors

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56 cited
  • 2009Uniform tail asymptotics for the stochastic present value of aggregate claims in the renewal risk model55 cited
  • 2008Finite-Time Ruin Probability with Heavy-Tailed Claims and Constant Interest Rate51 cited
  • 2005Uniform estimate for maximum of randomly weighted sums with applications to insurance risk theory46 cited
  • 2012Risk Measures and Multivariate Extensions of Breiman's Theorem45 cited
  • 2009Aggregation of rapidly varying risks and asymptotic independence36 cited
  • 2012Asymptotics for Weighted Random Sums35 cited