The function space D([O, ∞)ρ, E)

DOI10.2307/3315230zbMath0467.60009OpenAlexW2143151237MaRDI QIDQ3920349

B. Gail Ivanoff

Publication date: 1980

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3315230

zbMATH Keywords

weak convergencetightnessSkorokhod topologyPoisson cluster process

Mathematics Subject Classification ID

Gaussian processes (60G15) Convergence of probability measures (60B10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (11)

Heavy-traffic limits for an infinite-server fork-join queueing system with dependent and disruptive services ⋮ Weak convergence of probability measures in spaces of smooth functions ⋮ Tail measures and regular variation ⋮ Stopping times and tightness for multiparameter martingales ⋮ Weak and strong convergence of empirical distribution functions from germ-grain processes ⋮ Reflection principle and strong Markov property for multiparameter group- valued additive processes ⋮ On weak convergence of the likelihood ratio process in multi-phase regression models ⋮ Gaussian Limits for a Fork-Join Network with Nonexchangeable Synchronization in Heavy Traffic ⋮ Measures on topological spaces ⋮ Bootstrapping the empirical distribution of a stationary process with change-point ⋮ Tightness of pairs of tight càdlàg processes

Cites Work

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• Central limit theorems for point processes
• The general theory of stochastic population processes
• The branching random field
• Weak Convergence of Probability Measures on the Function Space $C\lbrack 0, \infty)$
• On Weak Convergence of Stochastic Processes with Multidimensional Time Parameter
• Weak convergence of probability measures and random functions in the function space D[0,∞)
• Convergence Criteria for Multiparameter Stochastic Processes and Some Applications

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