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Analyticity of Poisson-driven stochastic systems

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Publication:4014075
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DOI10.2307/1427478zbMath0757.60045OpenAlexW2327330955MaRDI QIDQ4014075

Michael A. Zazanis

Publication date: 4 October 1992

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1427478


zbMATH Keywords

analytic functionPoisson processqueueing systemsabsolutely monotonic functions


Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)


Related Items (8)

Factorial moment espansion for stochastic systems ⋮ Analyticity of single-server queues in light traffic ⋮ Taylor series expansions for Poisson-driven (max,+)-linear systems ⋮ Taylor-series expansion for multivariate characteristics of classical risk processes ⋮ Monte Carlo methods for sensitivity analysis of Poisson-driven stochastic systems, and applications ⋮ On the three-queue priority polling system with threshold service policy ⋮ Taylor series expansions for stationary Markov chains ⋮ Differentiability of functionals of Poisson processes via coupling. With applications to queueing theory




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