Functional asymptotic behavior of some random multilinear forms

DOI10.1016/S0304-4149(97)00017-3zbMath0890.60018MaRDI QIDQ1382549

Benoît Cadre

Publication date: 29 March 1998

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

weak convergencemartingalesstochastic integralsmultilinear random forms

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Martingales with continuous parameter (60G44) Stochastic integrals (60H05)

Cites Work

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• Weak convergence of the variations, iterated integrals and Doléans-Dade exponentials of sequences of semimartingales
• Convergence en loi des suites d'integrales stochastiques sur l'espace \({\mathbb{D}}^ 1\) de Skorokhod. (Convergence in law of sequences of stochastic integrals on the Skorokhod space \({\mathbb{D}}^ 1)\)
• Weak limit theorems for stochastic integrals and stochastic differential equations
• Functional limit theorems for random multilinear forms
• Invariance principles for von Mises and U-statistics
• Mises’ Theorem on the Asymptotic Behavior of Functionals of Empirical Distribution Functions and Its Statistical Applications

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