scientific article; zbMATH DE number 932426

zbMath0855.60089MaRDI QIDQ4894804

Thomas G. Kurtz

Publication date: 7 October 1996

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

fractional Brownian motionservice systemsheavy traffic approximations

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Strong limit theorems (60F15)

Related Items (15)

Is network traffic approximated by stable Lévy motion or fractional Brownian motion? ⋮ Large deviations of Poisson Telecom processes ⋮ Fractional Brownian Motion withH< 1/2 as a Limit of Scheduled Traffic ⋮ Scaling limits for random fields with long-range dependence ⋮ Prediction in a Poisson cluster model with multiple cluster processes ⋮ Functional limit theorems for a new class of non-stationary shot noise processes ⋮ Functional Limit Theorems for Shot Noise Processes with Weakly Dependent Noises ⋮ Reduced long-range dependence combining Poisson bursts with on-off sources ⋮ Prediction in a Poisson cluster model ⋮ Conditional limit theorems for queues with Gaussian input, a weak convergence approach ⋮ A Poisson bridge between fractional Brownian motion and stable Lévy motion ⋮ The supremum of a Gaussian process over a random interval ⋮ Asymptotic analysis of Poisson shot noise processes, and applications ⋮ Shot-noise queueing models ⋮ On the superposition of heterogeneous traffic at large time scales

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