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Extremes of Gaussian processes over an infinite horizon
7 references·4 citing·24 second hop
Extremes of Gaussian processes over an infinite horizon (2004)Extremes of Gaussian processes over an in…Exact overflow asymptotics for queues with many Gaussian inputs (2003)Exact overflow asymptotics fo…Ruin probability for Gaussian integrated processes (2002)Ruin probability for Gaussian…Large buffer asymptotics for the queue with fractional Brownian input (1999)Large buffer asymptotics for …Extremes of a certain class of Gaussian processes (1999)Extremes of a certain class o…Stochastic Flows and Stochastic Differential Equations (1998)Stochastic Flows and Stochast…Large deviations and overflow probabilities for the general single-server queue, with applications (1995)Large deviations and overflow…Extremes and related properties of random sequences and processes (1984)Extremes and related properti…Extremes of vector-valued Gaussian processes: Exact asymptotics (2015)Extremes of vector-valued Gau…Extremes of multidimensional Gaussian processes (2010)Extremes of multidimensional …On the ruin probability for physical fractional Brownian motion (2004)On the ruin probability for p…Conditional limit theorems for queues with Gaussian input, a weak convergence approach (2004)Conditional limit theorems fo…Sojourns and Extremes of Gaussian Processes (1974)Extreme Values and High Boundary Crossings of Locally Stationary Gaussian Processes (1990)On asymptotic constants in the theory of extremes for Gaussian processes (2014)A storage model with self-similar input (1994)Heavy traffic analysis of a storage model with long range dependent On/Off sources (1996)On the maximum workload of a queue fed by fractional Brownian motion (2000)Asymptotic tail distribution of end-to-end delay in networks of queues with self-similar cross traffic (2005)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Handbook of Brownian Motion — Facts and Formulae (1996)Sample-path large deviations for tandem and priority queues with Gaussian inputs (2005)Fast simulation of overflow probabilities in a queue with Gaussian input (2006)On the supremum of γ -reflected processes with fractional Brownian motion as input (2013)Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)Large deviations, the shape of the loss curve, and economies of scale in large multiplexers (1995)Wavelet analysis of long-range-dependent traffic (1998)A multifractal wavelet model with application to network traffic (1999)Large Deviations for Gaussian Queues (2007)Extremal behaviour of solutions to a stochastic difference equation with applications to arch processes (1989)The tail index of exchange rate returns (1990)Extreme events: dynamics, statistics and prediction (2011)Generalized Pickands constants and stationary max-stable processes (2017)An Overview of Value at Risk (1997)Pricing the risks of default (1998)Robustness of the Black and Scholes Formula (1998)
this work references cited by second hop

References

  • 1998Stochastic Flows and Stochastic Differential Equations1,182 cited
  • 1984Extremes and related properties of random sequences and processes485 cited
  • 1995Large deviations and overflow probabilities for the general single-server queue, with applications431 cited
  • 1999Extremes of a certain class of Gaussian processes146 cited
  • 2002Ruin probability for Gaussian integrated processes100 cited
  • 1999Large buffer asymptotics for the queue with fractional Brownian input50 cited
  • 2003Exact overflow asymptotics for queues with many Gaussian inputs49 cited

Cited by

  • 2004On the ruin probability for physical fractional Brownian motion52 cited
  • 2015Extremes of vector-valued Gaussian processes: Exact asymptotics38 cited
  • 2010Extremes of multidimensional Gaussian processes36 cited
  • 2004Conditional limit theorems for queues with Gaussian input, a weak convergence approach20 cited

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