Weak convergence of compound stochastic process. I

DOI10.1016/0304-4149(73)90030-6zbMath0266.60020OpenAlexW2094668198WikidataQ127125201 ScholiaQ127125201MaRDI QIDQ2562540

Donald L. Iglehart

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1016/0304-4149(73)90030-6

Mathematics Subject Classification ID

Limit theorems in probability theory (60F99) Renewal theory (60K05) Stochastic processes (60Gxx)

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Cites Work

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• A multitype stochastic population model
• On limit laws for service processes in multi-channel systems
• On secondary stochastic processes generated by recurrent processes
• Multiple channel queues in heavy traffic. I
• Functional limit theorems for the queue GI/G/1 in light traffic
• Convergence Criteria for Multiparameter Stochastic Processes and Some Applications