On functional central limit theorem for stationary martingale random fields

DOI10.1007/BF01902565zbMath0431.60037MaRDI QIDQ3868532

No author found.

Publication date: 1979

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

zbMATH Keywords

ergodic random fieldweak convergence of empirical processSkorohod function space

Mathematics Subject Classification ID

Random fields (60G60) Martingales with discrete parameter (60G42) Martingales with continuous parameter (60G44) Functional limit theorems; invariance principles (60F17)

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Cites Work

• Unnamed Item
• A functional central limit theorem for stationary random fields
• [https://portal.mardi4nfdi.de/wiki/Publication:4092722 Inequalities for max | S k | /b k where k � N r]
• Martingales and stochastic integrals for processes with a multi-dimensional parameter
• Inequalities with Applications to the Weak Convergence of Random Processes with Multi-Dimensional Time Parameters
• Convergence Criteria for Multiparameter Stochastic Processes and Some Applications

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