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Large claims approximations for risk processes in a Markovian environment
13 references·4 citing·36 second hop
Large claims approximations for risk processes in a Markovian environment (1994)Large claims approximations for risk proc…Waiting-time tail probabilities in queues with long-tail service-time distributions (1994)Waiting-time tail probabiliti…Computational methods in risk theory: A matrix-algorithmic approach (1992)Computational methods in risk…Ladder heights and the Markov-modulated M/G/1 queue (1991)Ladder heights and the Markov…Aspects of Risk Theory (1991)Aspects of Risk TheoryRisk theory in a Markovian environment (1989)Risk theory in a Markovian en…Markov processes whose steady state distribution is matrix-exponential with an application to theGI/PH/1 queue (1989)Markov processes whose steady…Subexponential distributions and integrated tails (1988)Subexponential distributions …Exponential inequalities for ruin probabilities in the Cox case (1988)Exponential inequalities for …Convolution tails, product tails and domains of attraction (1986)Convolution tails, product ta…On a Class of Semi-Markov Risk Models Obtained as Classical Risk Models in a Markovian Environment (1984)On a Class of Semi-Markov Ris…The Single Server Queue (1983)The Single Server QueueEstimates for the probability of ruin with special emphasis on the possibility of large claims (1982)Estimates for the probability…Subexponentiality and infinite divisibility (1979)Subexponentiality and infinit…Heavy-tailed asymptotics of stationary probability vectors of Markov chains of gi/g/1 type (2005)Heavy-tailed asymptotics of s…Ruin theory revisited: stochastic models for operational risk (2002)Ruin theory revisited: stocha…Telecommunication traffic, queueing models, and subexponential distributions (1999)Telecommunication traffic, qu…Ruin probabilities in perturbed risk models (1998)Ruin probabilities in perturb…Mathematical Methods in Risk Theory (1970)Optimal Proportional Reinsurance Policies in a Dynamic Setting (2001)Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks (2003)On the tails of waiting-time distributions (1975)Stochastic Processes in Queueing Theory (1976)Applied Probability and Queues (1987)Asymptotics for steady-state tail probabilities in structured markov queueing models (1994)Rare Events Simulation for Heavy-Tailed Distributions (2000)Improved algorithms for rare event simulation with heavy tails (2006)New results on the single server queue with a batch markovian arrival process (1991)On a Class of Renewal Risk Processes (1998)Multivariate risk model of phase type (2005)Characterization of Matrix-Exponential Distributions (2008)The Class of Subexponential Distributions (1975)On closure and factorization properties of subexponential and related distributions (1980)Convolutions of Distributions With Exponential and Subexponential Tails (1987)Subexponential distributions and characterizations of related classes (1989)Subexponential Distributions (2004)Fundamentals of Queueing Theory. (1977)Matrix-geometric solutions in stochastic models (1985)A duality theorem for the matrix paradigms in queueing theory (1990)A Queue with Service Interruptions in an Alternating Random Environment (1990)Matrix-Geometric Solutions to Stochastic Models (1984)Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Importance Sampling, Large Deviations, and Differential Games (2004)Chapter 11 Rare-Event Simulation Techniques: An Introduction and Recent Advances (2006)Strategies for Dividend Distribution: A Review (2009)Controlled diffusion models for optimal dividend pay-out (1997)Optimal Dividends (2004)Minimizing the Probability of Ruin When Claims Follow Brownian Motion with Drift (2005)Large deviations of heavy-tailed random sums with applications in insurance and finance (1997)Subexponential asymptotics for stochastic processes: extremal behavior, stationary distributions and first passage probabilities (1998)Uniform Asymptotics for the Finite-Time Ruin Probability of a Dependent Risk Model with a Constant Interest Rate (2011)Manufacturing flow line systems: a review of models and analytical results (1992)The origin of bursts and heavy tails in human dynamics (2005)Modeling bursts and heavy tails in human dynamics (2006)
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References

  • 1991Aspects of Risk Theory902 cited
  • 1983The Single Server Queue844 cited
  • 1982Estimates for the probability of ruin with special emphasis on the possibility of large claims388 cited
  • 1988Subexponential distributions and integrated tails318 cited
  • 1979Subexponentiality and infinite divisibility307 cited
  • 1989Risk theory in a Markovian environment227 cited
  • 1986Convolution tails, product tails and domains of attraction195 cited
  • 1994Waiting-time tail probabilities in queues with long-tail service-time distributions122 cited
  • 1989Markov processes whose steady state distribution is matrix-exponential with an application to theGI/PH/1 queue108 cited
  • 1992Computational methods in risk theory: A matrix-algorithmic approach86 cited
  • 1984On a Class of Semi-Markov Risk Models Obtained as Classical Risk Models in a Markovian Environment84 cited
  • 1988Exponential inequalities for ruin probabilities in the Cox case73 cited
  • 1991Ladder heights and the Markov-modulated M/G/1 queue52 cited

Cited by

  • 2002Ruin theory revisited: stochastic models for operational risk44 cited
  • 1998Ruin probabilities in perturbed risk models

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40 cited
  • 2005Heavy-tailed asymptotics of stationary probability vectors of Markov chains of gi/g/1 type26 cited
  • 1999Telecommunication traffic, queueing models, and subexponential distributions25 cited