Limit theorems for regenerative phenomena, recurrent events and renewal theory

DOI10.1007/BF00535105zbMath0212.20001MaRDI QIDQ5613596

Nicholas H. Bingham

Publication date: 1972

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Markov renewal processes, semi-Markov processes (60K15)

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Cites Work

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• Some further analytical results in the theory of regenerative events
• A discrete renewal theorem with infinite mean
• The Invariance Principle for Dependent Random Variables
• On Occupation Times for Markoff Processes
• An Invariance Principle in Renewal Theory
• Semi-Stable Stochastic Processes
• A New Method of Approximation in Markov-Chain Theory and its Application to Some Problems in the Theory of Random Time Substituion
• An integral equation arising in connection with Markov chains
• Delphic semi-groups, infinitely divisible regenerative phenomena, and the arithmetic of p-functions
• Arithmetic and other properties of certain Delphic semigroups. I
• Hitting probabilities of single points for processes with stationary independent increments
• Regular Variation of Markov Renewal Functions
• Limit theorems for occupation times of Markov processes
• A convolution equation and hitting probabilities of single points for processes with stationary independent increments
• Markov transition probabilities
• On measurable p-functions
• The stochastic theory of regenerative events
• Fluctuation Theory of Recurrent Events