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First Passage Times for Markov Additive Processes with Positive Jumps of Phase Type
9 references·4 citing·37 second hop
First Passage Times for Markov Additive Processes with Positive Jumps of Phase Type (2008)First Passage Times for Markov Additive P…Advances in Queueing Theory, Methods, and Open Problems (2023)Advances in Queueing Theory, …Risk processes analyzed as fluid queues (2004)Risk processes analyzed as fl…Russian and American put options under exponential phase-type Lévy models (2003)Russian and American put opti…Applied Probability and Queues (2003)Applied Probability and QueuesOn the Time Value of Ruin (1998)On the Time Value of RuinStationary distributions for fluid flow models with or without brownian noise (1995)Stationary distributions for …Applied Probability and Queues (1987)Applied Probability and QueuesFluctuation theory in continuous time (1975)Fluctuation theory in continu…Fluctuation theory in continuous time (1975)Fluctuation theory in continu…Fluid approach to two-sided reflected Markov-modulated Brownian motion (2015)Fluid approach to two-sided r…The Markov Additive Risk Process Under an Erlangized Dividend Barrier Strategy (2014)The Markov Additive Risk Proc…Markov modulation of a two-sided reflected Brownian motion with application to fluid queues (2012)Markov modulation of a two-si…A quintuple law for Markov additive processes with phase-type jumps (2010)A quintuple law for Markov ad…An introduction to mathematical risk theory (1979)Option pricing by Esscher transforms. (1995)Optimal Dividends (2004)Insurance Risk and Ruin (2005)Fluctuations of Lévy Processes with Applications (2014)Some Problems in the Theory of Queues (1951)The single server queue in heavy traffic (1961)Multiple channel queues in heavy traffic. I (1970)Cramér's estimate for Lévy processes (1994)On Exit and Ergodicity of the Spectrally One-Sided Lévy Process Reflected at Its Infimum (2004)De Finetti’s optimal dividends problem with an affine penalty function at ruin (2009)Handbook of Brownian Motion — Facts and Formulae (1996)On a Periodic Capital Injection and Barrier Dividend Strategy in the Compound Poisson Risk Model (2020)The Variation of Certain Speculative Prices (1963)The variation of certain speculative prices (1997)A Jump-Diffusion Model for Option Pricing (2002)Some remarks on first passage of Lévy processes, the American put and pasting principles (2005)Option Pricing Under a Mixed-Exponential Jump Diffusion Model (2011)The Theory of Scale Functions for Spectrally Negative Lévy Processes (2012)A logarithmic reduction algorithm for quasi-birth-death processes (1993)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Passage Times in Fluid Models with Application to Risk Processes (2006)Time dependent analysis of finite buffer fluid flows and risk models with a dividend barrier (2007)Dependent Risk Models with Bivariate Phase-Type Distributions (2009)Matrix-Geometric Solutions to Stochastic Models (1984)Matrix analytic methods for stochastic fluid flows (1999)Rare Events Simulation for Heavy-Tailed Distributions (2000)Erlangian Approximations for Finite-Horizon Ruin Probabilities (2002)Chapter 11 Rare-Event Simulation Techniques: An Introduction and Recent Advances (2006)Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory (2006)Queue-and-Idleness-Ratio Controls in Many-Server Service Systems (2009)Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks (1992)Dynamic server allocation to parallel queues with randomly varying connectivity (1993)Asset Pricing with Heterogeneous Consumers (1996)An Introduction to Numerical Transform Inversion and Its Application to Probability Models (2000)M/G/1 queue with multiple working vacations (2005)A Stochastic Model for Order Book Dynamics (2010)
this work references cited by second hop

References

  • 1987Applied Probability and Queues2,704 cited
  • 2003Applied Probability and Queues1,453 cited
  • 1998On the Time Value of Ruin786 cited
  • 2003Russian and American put options under exponential phase-type Lévy models339 cited
  • 1995Stationary distributions for fluid flow models with or without brownian noise206 cited
  • 1975Fluctuation theory in continuous time179 cited
  • 2023Advances in Queueing Theory, Methods, and Open Problems165 cited
  • 1975Fluctuation theory in continuous time146 cited
  • 2004Risk processes analyzed as fluid queues86 cited

Cited by

  • 2014The Markov Additive Risk Process Under an Erlangized Dividend Barrier Strategy35 cited
  • 2010A quintuple law for Markov additive processes with phase-type jumps34 cited
  • 2012Markov modulation of a two-sided reflected Brownian motion with application to fluid queues13 cited
  • 2015Fluid approach to two-sided reflected Markov-modulated Brownian motion12 cited

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