Ergodicity and inequalities in a class of point processes

DOI10.1016/0304-4149(88)90079-8zbMath0656.60058OpenAlexW2025221529MaRDI QIDQ1110192

Torgny Lindvall

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0304-4149(88)90079-8

zbMATH Keywords

point processesdecreasing failure raterenewal processBlackwell's renewal theorem

Mathematics Subject Classification ID

Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Renewal theory (60K05)

Related Items (6)

Imbedded construction of stationary sequences and point processes with a random memory ⋮ Some monotonicity and dependence properties of self-exciting point processes ⋮ Coupling with compensators ⋮ On dependent marking and thinning of point processes ⋮ Time and Palm stationarity of repairable systems ⋮ Stochastic ordering and thinning of point processes

Cites Work

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• Renewal theorem for a class of stationary sequences
• On coupling of renewal processes with use of failure rates
• Bounds, inequalities, and monotonicity properties for some specialized renewal processes
• Point processes and queues. Martingale dynamics
• Stochastic inequalities on partially ordered spaces
• Asymptotic behaviour of point processes with Markov-dependent intervals
• Multivariate point processes: predictable projection, Radon-Nikodym derivatives, representation of martingales

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