A limit theorem for functionals of jumps of birth and death processes under heavy traffic condition

DOI10.1214/aoap/1177005367zbMath0780.60035OpenAlexW2054344082MaRDI QIDQ1308705

Keigo Yamada, Sung-Jo Hong

Publication date: 30 January 1994

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1177005367

zbMATH Keywords

Brownian motionbirth and death processeslocal timequeueing processesheavy traffic condition

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Applications of stochastic analysis (to PDEs, etc.) (60H30) Functional limit theorems; invariance principles (60F17)

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