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A functional central limit theorem for Markov additive processes with an application to the closed Lu?Kumar network

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Publication:2784214
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DOI10.1081/STM-120001219zbMath0997.60030OpenAlexW1993918704MaRDI QIDQ2784214

J. L. Steichen

Publication date: 4 November 2002

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/stm-120001219


zbMATH Keywords

functional central limit theoremMarkov additive processheavy traffic limit theoremLu-Kumar network


Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Functional limit theorems; invariance principles (60F17)


Related Items (3)

A functional central limit theorem for Markov additive arrival processes and its applications to queueing systems ⋮ Limit theorems for stationary Markov processes with \(L^{2}\)-spectral gap ⋮ Heavy-traffic asymptotics for networks of parallel queues with Markov-modulated service speeds







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