Limit theorems for path-functionals of regenerative processes

DOI10.1016/0304-4149(74)90023-4zbMath0303.60085OpenAlexW2075579999MaRDI QIDQ1216111

Douglas R. Miller

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0304-4149(74)90023-4

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Renewal theory (60K05)

Related Items (3)

Moment convergence of first-passage times in renewal theory ⋮ Renewal structure of the Brownian taut string ⋮ Weak convergence of probability measures relative to incompatible topology and ?-field with applications to renewal theory

Cites Work

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• The theory of stationary point processes
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• Asymptotic Properties of Cumulative Processes
• Functional limit theorems for the queue GI/G/1 in light traffic
• Embedded renewal processes in the GI/G/s queue
• Existence of Limits in Regenerative Processes
• A note on the number of busy servers in a GI/G/s queue in light traffic
• Regenerative processes in the theory of queues, with applications to the alternating-priority queue
• Weak Convergence of Stochastic Processes Defined on Semi-Infinite Time Intervals
• Remarks on the paper ‘Regenerative stochastic processes’

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