Compositions, inverses and thinnings of random measures

DOI10.1007/BF00537492zbMath0366.60082MaRDI QIDQ4142442

Richard F. Serfozo

Publication date: 1977

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

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stochastic processes (60G99) Convergence of probability measures (60B10)

Related Items (7)

Convergence of thinning processes using compensators ⋮ Partitions of point processes: Multivariate Poisson approximations ⋮ A stochastic recirculation system with random access ⋮ Queues with nonstationary inputs ⋮ Ordered thinnings of point processes and random measures ⋮ A thinning result for pure jump processes ⋮ Approximating a class of superposition processes

Cites Work

• Limits of compound and thinned point processes
• Thinning and rare events in point processes
• Limit Theorems for Dissipative Flows
• Stochastic Point Processes: Limit Theorems
• Semi-stationary processes
• Processes with conditional stationary independent increments
• Eine charakteristische Eigenschaft der doppelt stochastischen Poissonschen Prozesse
• Limit theorems for thinning of renewal point processes
• Characterization and convergence of random measures and point processes
• Eine Monotonieeigenschaft zufälliger Punktfolgen
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