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Tail probabilities for infinite series of regularly varying random vectors
7 references·2 citing·30 second hop
Tail probabilities for infinite series of regularly varying random vectors (2008)Tail probabilities for infinite series of…Tail Probabilities of Randomly Weighted Sums of Random Variables with Dominated Variation (2006)Tail Probabilities of Randoml…Modeling teletraffic arrivals by a Poisson cluster process (2006)Modeling teletraffic arrivals…Large deviations and ruin probabilities for solutions to stochastic recurrence equations with heavy-tailed innovations (2005)Large deviations and ruin pro…Regular variation of GARCH processes (2002)Regular variation of GARCH pr…The supremum of a negative drift random walk with dependent heavy-tailed steps (2000)The supremum of a negative dr…Extreme Values, Regular Variation and Point Processes (1987)Extreme Values, Regular Varia…Regular variation of the tail of a subordinated probability distribution (1973)Regular variation of the tail…Risk Measures and Multivariate Extensions of Breiman's Theorem (2012)Risk Measures and Multivariat…Extremal dependence measure and extremogram: the regularly varying case (2011)Extremal dependence measure a…Conditional Heteroskedasticity in Asset Returns: A New Approach (1991)Modelling Extremal Events (1997)On the joint tail behavior of randomly weighted sums of heavy-tailed random variables (2017)Modelling of extremal events in insurance and finance (1994)Tails of random sums of a heavy-tailed number of light-tailed terms (2007)Asymptotics of randomly stopped sums in the presence of heavy tails (2010)Functional central limit theorems for stationary Hawkes processes and application to infinite-server queues (2018)Subexponentiality of the product of independent random variables (1994)Tail asymptotics for the sum of two heavy-tailed dependent risks (2006)Approximation of the tail probability of randomly weighted sums of dependent random variables with dominated variation (2010)Tail behavior of the product of two dependent random variables with applications to risk theory (2012)Generalized autoregressive conditional heteroskedasticity (1986)Copulas: Tales and facts (2006)Statistical inference for time-varying ARCH processes (2006)The extremogram: A correlogram for extreme events (2009)Residual Life Time at Great Age (1974)The Single Server Queue (1983)The Single Server Queue. (1983)Asymptotic tail behaviour of Poisson mixtures by applications (1990)Steady-state asymptotics for tandem, split-match and other feedforward queues with heavy tailed service (1999)Statistics for Long-Memory Processes. (1996)Statistics for Long-Memory Processes. (1996)Statistics of Extremes (2004)Extreme Correlation of International Equity Markets (2001)Correlation and Dependence in Risk Management: Properties and Pitfalls (2002)Integrated insurance risk models with exponential Lévy investment (2007)On a Theorem of Breiman and a Class of Random Difference Equations (2007)Finite-time ruin probability with an exponential Lévy process investment return and heavy-tailed claims (2009)Ruin probability with claims modeled by a stationary ergodic stable process (2000)Measures of serial extremal dependence and their estimation (2013)
this work references cited by second hop

References

  • 1987Extreme Values, Regular Variation and Point Processes3,165 cited
  • 2002Regular variation of GARCH processes359 cited
  • 2000The supremum of a negative drift random walk with dependent heavy-tailed steps124 cited
  • 2006Tail Probabilities of Randomly Weighted Sums of Random Variables with Dominated Variation98 cited
  • 2006Modeling teletraffic arrivals by a Poisson cluster process80 cited
  • 2005Large deviations and ruin probabilities for solutions to stochastic recurrence equations with heavy-tailed innovations66 cited
  • 1973Regular variation of the tail of a subordinated probability distribution58 cited

Cited by

  • 2011Extremal dependence measure and extremogram: the regularly varying case46 cited
  • 2012Risk Measures and Multivariate Extensions of Breiman's Theorem45 cited

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