Weak convergence for the row sums of a triangular array of empirical processes under bracketing conditions

DOI10.1016/S0304-4149(97)00102-6zbMath0941.60012MaRDI QIDQ1965909

Miguel A. Arcones

Publication date: 1 March 2000

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

zbMATH Keywords

empirical processestriangular arraysmajorizing measuresbracketing

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (1)

Rates of convergence of \(L_p\)-estimators for a density with an infinity cusp

Cites Work

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• Central limit theorems for C(S)-valued random variables
• M-estimators converging to a stable limit
• The central limit theorem and the law of iterated logarithm for empirical processes under local conditions
• The Central Limit Theorem for Empirical Processes Under Local Conditions: The Case of Radon Infinitely Divisible Limits without Gaussian Component

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