On Hoffmann-Jørgensen-type inequalities for outer expectations with applications

DOI10.1007/BF03322537zbMath0892.60027MaRDI QIDQ1377214

Klaus Ziegler

Publication date: 9 August 1998

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

symmetrizationHoffmann-Jørgensen inequalityuniform law of large numbersOrlicz conditionasymptotic equicontinuitymeasurable cover function

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Functional limit theorems; invariance principles (60F17) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (1)

Uniform laws of large numbers for triangular arrays of function-indexed processes under random entropy conditions

Cites Work

• Some limit theorems for empirical processes (with discussion)
• A central limit theorem under metric entropy with \(L_ 2\) bracketing
• Weak convergence of the empirical characteristic function
• Weak convergence and empirical processes. With applications to statistics
• Sums of independent Banach space valued random variables
• Convergence of stochastic processes
• Uniform laws of large numbers for triangular arrays of function-indexed processes under random entropy conditions
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