The coupling of regenerative processes

DOI10.2307/1426618zbMath0512.60080OpenAlexW2010870233WikidataQ121741920 ScholiaQ121741920MaRDI QIDQ3657169

Hermann Thorisson

Publication date: 1983

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1426618

zbMATH Keywords

renewal processcoupling conceptregenerative random measuretime- dependence

Mathematics Subject Classification ID

Applications of renewal theory (reliability, demand theory, etc.) (60K10) Renewal theory (60K05)

Related Items (28)

Limit theorems for queuing systems with regenerative doubly stochastic input flow ⋮ Limit theorems for an infinite-server queuing system ⋮ Shift-coupling in continuous time ⋮ On distributionally regenerative processes ⋮ On coupling of renewal processes with use of failure rates ⋮ Future independent times and Markov chains ⋮ On time- and cycle-stationarity ⋮ Regenerative queueing processes and their qualitative and quantitative analysis ⋮ A Gaussian fluid model ⋮ Stability of functionals of perturbed Markov chains under the condition of uniform minorization ⋮ Computable exponential convergence rates for stochastically ordered Markov processes ⋮ Coupling with compensators ⋮ Jonction maximale en distribution dans le cas markovien. (Maximal distributional junction in the Markovian case) ⋮ Faithful couplings of Markov chains: Now equals forever ⋮ Construction of a stationary regenerative process ⋮ Intersection of random sequences ⋮ The rate of convergence to stationarity forM/G/1 models with admission controls via coupling ⋮ Estimates of stability of transition probabilities for non-homogeneous Markov chains in the case of the uniform minorization ⋮ The queue GI/G/1: Finite moments of the cycle variables and uniform rates of convergence ⋮ Periodic regeneration ⋮ Regeneration and renovation in queues ⋮ Regenerative Simulation for Queueing Networks with Exponential or Heavier Tail Arrival Distributions ⋮ Shift-coupling and a zero-one law for random walk in random environment ⋮ On coupling of stochastic processes with embedded point processes ⋮ Coupling of convergence of random elements, processes, and regenerative processes ⋮ Blackwell's renewal theorem for certain linear submartingales and coupling ⋮ Crossing and comparison of regenerative processes ⋮ Rare events in queueing systems -- A survey

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