A random field approach to weak convergence of processes

DOI10.1016/0167-7152(93)90098-4zbMath0786.60038OpenAlexW2045315717MaRDI QIDQ689507

Rolando Rebolledo Berroeta, Louis G. Gorostiza

Publication date: 21 April 1994

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(93)90098-4

zbMATH Keywords

weak convergencespace-time random fieldfluctuation limit of an infinite particle system

Mathematics Subject Classification ID

Random fields (60G60) Functional limit theorems; invariance principles (60F17)

Related Items

An occupation time approach for convergence of measure-valued processes, and the death process of a branching system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tightness of probabilities on C([0,1;\(S_ p\)) and D([0,1];\(S_ p\))]
• La convergence en loi pour les processus à valeurs dans un espace nucléaire
• Stable hydrodynamic limit fluctuations of a critical branching particle system in a random medium
• Convergence of \({\mathcal S}'\)-valued processes and space-time random fields
• Langevin equations for S'-valued Gaussian processes and fluctuation limits of infinite particle systems
• On weak convergence of integral functionals of stochastic processes with applications to processes taking paths in \(L^ E_ p\)
• *-solutions of evolution equations in Hilbert space
• Stability of a class of transformations of distribution-valued processes and stochastic evolution equations
• Stopping times and tightness
• Stopping times and tightness. II
• An occupation time approach for convergence of measure-valued processes, and the death process of a branching system
• Lévy Type Criteria for Weak Convergence of Probabilities in Fréchet Spaces
• Limit theorems for the motion of a Poisson system of independent Markovian particles with high density
• Convergence cylindrique et convergence étroite d'une suite de probabilités de Radon