Asymptotic properties of stationary point processes with generalized clusters

DOI10.1007/BF00535107zbMath0213.19803MaRDI QIDQ5615130

Daryl J. Daley

Publication date: 1972

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

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (7)

Infinite intensity mixtures of point processes ⋮ Modeling teletraffic arrivals by a Poisson cluster process ⋮ Affine Point Processes: Approximation and Efficient Simulation ⋮ Qualitative and asymptotic properties of stochastic integrals related to random marked point processes ⋮ A functional limit theorem for general shot noise processes ⋮ On the total claim amount for marked Poisson cluster models ⋮ Bounds for the variance of certain stationary point processes

Cites Work

• Some Properties of Stationary Flows of Homogeneous Random Events
• Some results for infinite server poisson queues
• Asymptotic properties and equilibrium conditions for branching Poisson processes
• Transformations of stationary random sequences
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