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Asymptotic results for multiplexing subexponential on-off processes
14 references·16 citing·27 second hop
Asymptotic results for multiplexing subexponential on-off processes (1999)Asymptotic results for multiplexing subex…Introduction to Stochastic Processes (2014)Introduction to Stochastic Pr…Elements of Queueing Theory: Palm Martingale Calculus and Stochastic Recurrences (2010)Elements of Queueing Theory: …Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models (1998)Heavy Tails and Long Range De…Large Deviations For Performance Analysis: Queues, Communication and Computing (1995)Large Deviations For Performa…Large deviations and overflow probabilities for the general single-server queue, with applications (1995)Large deviations and overflow…Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Logarithmic asymptotics for s…A storage model with self-similar input (1994)A storage model with self-sim…Subexponential distributions and integrated tails (1988)Subexponential distributions …Applied Probability and Queues (1987)Applied Probability and QueuesStochastic Theory of a Data-Handling System with Multiple Sources (1982)Stochastic Theory of a Data-H…Subexponentiality and infinite divisibility (1979)Subexponentiality and infinit…On the tails of waiting-time distributions (1975)On the tails of waiting-time …Some results on regular variation for distributions in queueing and fluctuation theory (1973)Some results on regular varia…The stability of a queue with non-independent inter-arrival and service times (1962)The stability of a queue with…Necessary and sufficient conditions for moderate deviations of dependent random variables with heavy tails (2010)Necessary and sufficient cond…Uniform estimate for maximum of randomly weighted sums with applications to insurance risk theory (2005)Uniform estimate for maximum …Precise large deviations for sums of random variables with consistently varying tails (2004)Precise large deviations for …On max-sum equivalence and convolution closure of heavy-tailed distributions and their applications (2004)On max-sum equivalence and co…Asymptotics for the Finite Time Ruin Probability in the Renewal Model with Consistent Variation (2004)Asymptotics for the Finite Ti…Large Deviation Analysis of Subexponential Waiting Times in a Processor-Sharing Queue (2003)Large Deviation Analysis of S…Generalized processor sharing with light-tailed and heavy-tailed input (2003)Generalized processor sharing…Is Network Traffic Appriximated by Stable Lévy Motion or Fractional Brownian Motion? (2002)Is Network Traffic Appriximat…Asymptotic independence and a network traffic model (2002)Asymptotic independence and a…Self-similar communication models and very heavy tails (2000)Self-similar communication mo…Tail probabilities for non-standard risk and queueing processes with subexponential jumps (1999)Tail probabilities for non-st…Scheduling strategies and long-range dependence (1999)Scheduling strategies and lon…On a reduced load equivalence for fluid queues under subexponentiality (1999)On a reduced load equivalence…Asymptotic behavior of a multiplexer fed by a long-range dependent process (1999)Asymptotic behavior of a mult…Activity periods of an infinite server queue and performance of certain heavy tailed fluid queues (1999)Activity periods of an infini…Queueing at large resources driven by long-tailed M/G/∞-modulated processes (1998)Queueing at large resources d…Introduction to the Theory of Queues. (1963)Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)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)Effective bandwidths of departure processes from queues with time varying capacities (2002)Estimates for the probability of ruin with special emphasis on the possibility of large claims (1982)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)The supremum of a negative drift random walk with dependent heavy-tailed steps (2000)Analysis, Design, and Control of Queueing Systems (2002)A survey on discriminatory processor sharing (2006)Wavelet analysis of long-range-dependent traffic (1998)A multifractal wavelet model with application to network traffic (1999)A wavelet-based joint estimator of the parameters of long-range dependence (1999)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Traffic modeling for telecommunications networks (1994)On closure and factorization properties of subexponential and related distributions (1980)Subexponential distributions and characterizations of related classes (1989)Large deviations of heavy-tailed random sums with applications in insurance and finance (1997)On Queues in Heavy Traffic (1962)On the stability of interacting queues in a multiple-access system (1988)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)Fast simulation of rare events in queueing and reliability models (1995)A Theory of Trickle-Down Growth and Development (1997)A taxonomy of model structures for economic evaluation of health technologies (2006)
this work references cited by second hop

References

  • 1987Applied Probability and Queues2,704 cited
  • 2014Introduction to Stochastic Processes2,383 cited
  • 1982Stochastic Theory of a Data-Handling System with Multiple Sources1,271 cited
  • 1962The stability of a queue with non-independent inter-arrival and service times1,045 cited
  • 1994A storage model with self-similar input848 cited
  • 1995Large deviations and overflow probabilities for the general single-server queue, with applications431 cited
  • 2010Elements of Queueing Theory: Palm Martingale Calculus and Stochastic Recurrences354 cited
  • 1988Subexponential distributions and integrated tails318 cited
  • 1979Subexponentiality and infinite divisibility307 cited
  • 1994Logarithmic asymptotics for steady-state tail probabilities in a single-server queue290 cited
  • 1975On the tails of waiting-time distributions226 cited
  • 1995Large Deviations For Performance Analysis: Queues, Communication and Computing211 cited
  • 1998Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models176 cited
  • 1973Some results on regular variation for distributions in queueing and fluctuation theory132 cited

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  • 2002Is Network Traffic Appriximated by Stable Lévy Motion or Fractional Brownian Motion?

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270 cited
  • 2004Precise large deviations for sums of random variables with consistently varying tails112 cited
  • 1999Tail probabilities for non-standard risk and queueing processes with subexponential jumps100 cited
  • 2004On max-sum equivalence and convolution closure of heavy-tailed distributions and their applications92 cited
  • 2002Asymptotic independence and a network traffic model79 cited
  • 2010Necessary and sufficient conditions for moderate deviations of dependent random variables with heavy tails74 cited
  • 2000Self-similar communication models and very heavy tails71 cited
  • 2003Generalized processor sharing with light-tailed and heavy-tailed input64 cited
  • 2004Asymptotics for the Finite Time Ruin Probability in the Renewal Model with Consistent Variation59 cited
  • 1999Activity periods of an infinite server queue and performance of certain heavy tailed fluid queues58 cited
  • 1999Asymptotic behavior of a multiplexer fed by a long-range dependent process55 cited
  • 1998Queueing at large resources driven by long-tailed M/G/∞-modulated processes52 cited
  • 1999On a reduced load equivalence for fluid queues under subexponentiality51 cited
  • 1999Scheduling strategies and long-range dependence46 cited
  • 2005Uniform estimate for maximum of randomly weighted sums with applications to insurance risk theory46 cited
  • 2003Large Deviation Analysis of Subexponential Waiting Times in a Processor-Sharing Queue44 cited