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Risk processes analyzed as fluid queues
14 references·11 citing·32 second hop
Risk processes analyzed as fluid queues (2004)Risk processes analyzed as fluid queuesAdvances in Queueing Theory, Methods, and Open Problems (2023)Advances in Queueing Theory, …Scandinavian Actuarial Journal (2008)Scandinavian Actuarial JournalFURTHER RESULTS ON THE SIMILARITY BETWEEN FLUID QUEUES AND QBDS (2002)FURTHER RESULTS ON THE SIMILA…Erlangian Approximations for Finite-Horizon Ruin Probabilities (2002)Erlangian Approximations for …An EM Algorithm for Batch Markovian Arrival Processes and its Comparison to a Simpler Estimation Procedure (2002)An EM Algorithm for Batch Mar…Ruin Probabilities (2000)Ruin ProbabilitiesMatrix analytic methods for stochastic fluid flows (1999)Matrix analytic methods for s…Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Introduction to Matrix Analyt…Stationary distributions for fluid flow models with or without brownian noise (1995)Stationary distributions for …Fluid Models in Queueing Theory and Wiener-Hopf Factorization of Markov Chains (1994)Fluid Models in Queueing Theo…Marked point processes as limits of Markovian arrival streams (1993)Marked point processes as lim…A logarithmic reduction algorithm for quasi-birth-death processes (1993)A logarithmic reduction algor…Applied Probability and Queues (1987)Applied Probability and QueuesApproximations for the probability of ruin within finite time (1984)Approximations for the probab…The stochastic fluid–fluid model: A stochastic fluid model driven by an uncountable-state process, which is a stochastic fluid model itself (2014)The stochastic fluid–fluid mo…A Stochastic Two-Dimensional Fluid Model (2013)A Stochastic Two-Dimensional …Dependent Risk Models with Bivariate Phase-Type Distributions (2009)Dependent Risk Models with Bi…First Passage Times for Markov Additive Processes with Positive Jumps of Phase Type (2008)First Passage Times for Marko…Time dependent analysis of finite buffer fluid flows and risk models with a dividend barrier (2007)Time dependent analysis of fi…On the analysis of a multi-threshold Markovian risk model (2007)On the analysis of a multi-th…Passage Times in Fluid Models with Application to Risk Processes (2006)Passage Times in Fluid Models…On the analysis of the Gerber–Shiu discounted penalty function for risk processes with Markovian arrivals (2006)On the analysis of the Gerber…Phase-type Approximations to Finite-time Ruin Probabilities in the Sparre-Andersen and Stationary Renewal Risk Models (2005)Phase-type Approximations to …Fluid queues to solve jump processes (2005)Fluid queues to solve jump pr…Erlangized Fluid Queues with Application To Uncontrolled Fire Perimeter (2005)Erlangized Fluid Queues with …Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Matrix-Geometric Solutions to Stochastic Models (1984)Fluid Flow Models and Queues—A Connection by Stochastic Coupling (2003)Efficient algorithms for transient analysis of stochastic fluid flow models (2005)Matrix-analytic methods for fluid queues with finite buffers (2005)Comparison Methods for Queues and Other Stochastic Models (1984)Comparison Methods for Queues and Other Stochastic Models. 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References

  • 1987Applied Probability and Queues2,704 cited
  • 1999Introduction to Matrix Analytic Methods in Stochastic Modeling1,988 cited
  • 1993A logarithmic reduction algorithm for quasi-birth-death processes391 cited
  • 2008Scandinavian Actuarial Journal261 cited
  • 1994Fluid Models in Queueing Theory and Wiener-Hopf Factorization of Markov Chains248 cited
  • 1993Marked point processes as limits of Markovian arrival streams234 cited
  • 1995Stationary distributions for fluid flow models with or without brownian noise206 cited
  • 2023Advances in Queueing Theory, Methods, and Open Problems165 cited
  • 1999Matrix analytic methods for stochastic fluid flows136 cited
  • 2002Erlangian Approximations for Finite-Horizon Ruin Probabilities123 cited
  • 2000Ruin Probabilities103 cited
  • 1984Approximations for the probability of ruin within finite time95 cited
  • 2002An EM Algorithm for Batch Markovian Arrival Processes and its Comparison to a Simpler Estimation Procedure90 cited
  • 2002FURTHER RESULTS ON THE SIMILARITY BETWEEN FLUID QUEUES AND QBDS52 cited

Cited by

  • 2008First Passage Times for Markov Additive Processes with Positive Jumps of Phase Type

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76 cited
  • 2009Dependent Risk Models with Bivariate Phase-Type Distributions75 cited
  • 2007Time dependent analysis of finite buffer fluid flows and risk models with a dividend barrier70 cited
  • 2006Passage Times in Fluid Models with Application to Risk Processes66 cited
  • 2005Phase-type Approximations to Finite-time Ruin Probabilities in the Sparre-Andersen and Stationary Renewal Risk Models47 cited
  • 2006On the analysis of the Gerber–Shiu discounted penalty function for risk processes with Markovian arrivals43 cited
  • 2007On the analysis of a multi-threshold Markovian risk model39 cited
  • 2013A Stochastic Two-Dimensional Fluid Model32 cited
  • 2014The stochastic fluid–fluid model: A stochastic fluid model driven by an uncountable-state process, which is a stochastic fluid model itself23 cited
  • 2005Fluid queues to solve jump processes21 cited
  • 2005Erlangized Fluid Queues with Application To Uncontrolled Fire Perimeter17 cited