Limit Theorems for Generalized Renewal Processes

DOI10.1137/S0040585X97T988472zbMath1388.60150OpenAlexW2804687135MaRDI QIDQ4641651

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Publication date: 18 May 2018

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97t988472

zbMATH Keywords

strong law of large numberscentral limit theoremfunctional limit theoreminventory modelsgeneralized renewal processesreward-renewal processes

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Markov renewal processes, semi-Markov processes (60K15) Functional limit theorems; invariance principles (60F17)

Related Items (2)

Limit theorems for chains with unbounded variable length memory which satisfy Cramer condition ⋮ Large deviation principles for the processes admitting embedded compound renewal processes

Cites Work

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• Probability theory. Edited by K. A. Borovkov. Transl. from the Russian by O. Borovkova and P. S. Ruzankin
• Renewal processes
• Optimal and Asymptotically Optimal Control for Some Inventory Models
• Stochastic Models of Transport Flows
• ON THE CUMULANTS OF RENEWAL PROCESSES
• On the Mean Number of Crossings of a Level by a Stationary Gaussian Process
• Applied Probability and Queues
• Some Results Concerning Optimum Inventory Policies
• Inventory Systems with Unreliable Suppliers
• On the Integral Equation of Renewal Theory
• Fluctuation Theory of Recurrent Events
• Optimal Inventory Policy

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