Domains of attraction for semi-martingales taking values in the tempered distributions space

DOI10.1007/BF01063327zbMath0686.60006MaRDI QIDQ1262606

Raúl Fierro

Publication date: 1990

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

weak convergencefunctional central limit theoremnuclear spacesemi- martingales

Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

• Tightness of probabilities on C([0,1;\(S_ p\)) and D([0,1];\(S_ p\))]
• High density limit theorems for infinite systems of unscaled branching Brownian motions
• Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions
• Central limit theorems for local martingales
• On Square Integrable Martingales
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