Sharp estimates and a central limit theorem for the invariant law for a large star-shaped loss network.

DOI10.1016/S0304-4149(01)00109-0zbMath1058.60088OpenAlexW2088543570MaRDI QIDQ1766000

Carl Graham

Publication date: 25 February 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(01)00109-0

zbMATH Keywords

partition functioncentral limit theoremLaplace methodsharp asymptotics

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Communication networks in operations research (90B18) Network design and communication in computer systems (68M10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10)

Cites Work

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• Loss networks
• Sharp estimates of deviations of the sample mean in many dimensions
• Large deviations at equilibrium for a large star-shaped loss network.
• Dynamic asymptotic results for a generalized star-shaped loss network
• Limit theorems for loss networks with diverse routing
• Loss networks under diverse routing: the symmetric star network