Tail probabilities for infinite series of regularly varying random vectors
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Publication:1002553
DOI10.3150/08-BEJ125zbMath1158.60325arXivmath/0702112MaRDI QIDQ1002553
Gennady Samorodnitsky, Henrik Hult
Publication date: 2 March 2009
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0702112
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Modeling teletraffic arrivals by a Poisson cluster process
- Strict stationarity of generalized autoregressive processes
- Random difference equations and renewal theory for products of random matrices
- Regular variation in the tail behaviour of solutions of random difference equations
- Regular variation of GARCH processes.
- The supremum of a negative drift random walk with dependent heavy-tailed steps.
- Large deviations and ruin probabilities for solutions to stochastic recurrence equations with heavy-tailed innovations
- Regular variation for measures on metric spaces
- The stochastic equation Yn+1=AnYn + Bn with stationary coefficients
- Moving averages with random coefficients and random coefficient autoregressive models
- Heavy-Tail Phenomena
- Tail Probabilities of Randomly Weighted Sums of Random Variables with Dominated Variation
- Regular variation of the tail of a subordinated probability distribution
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