Path space large deviations of a large buffer with Gaussian input traffic
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Publication:1851015
DOI10.1023/A:1020161203956zbMath1037.60082MaRDI QIDQ1851015
O. Vasylyk, Tommi Sottinen, Yuriy Vasil'ovich Kozachenko
Publication date: 15 December 2002
Published in: Queueing Systems (Search for Journal in Brave)
Related Items (9)
Minimizing Large Deviation Paths for a Family of Long-Range Dependent Processes and Their Fractional Brownian Approximations ⋮ Extremal behavior of the heat random field ⋮ Extremes of Gaussian processes over an infinite horizon ⋮ Conditional limit theorems for queues with Gaussian input, a weak convergence approach ⋮ Large deviation properties of constant rate data streams sharing a buffer with long-range dependent traffic in critical loading ⋮ Sample path large deviations for a family of long-range dependent traffic and associated queue length processes ⋮ Large deviations of infinite intersections of events in Gaussian processes ⋮ Sample path moderate deviations for a family of long-range dependent traffic and associated queue length processes ⋮ Properties of strictly $\varphi $-sub-Gaussian quasi-shot-noise processes
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