On Hoffmann-Jørgensen-type inequalities for outer expectations with applications
type: Item
instance of: scholarly article
title: On Hoffmann-Jørgensen-type inequalities for outer expectations with applications
zbMATH Open document ID: 0892.60027
DOI: 10.1007/BF03322537
author: K. Ziegler
published in: Results in Mathematics
publication date: 1998-08-09T00:00:00Z
review text: The present paper extends the Hoffmann-Jørgensen inequality and proves it to be still valid for arbitrary non-measurable mappings defined on the coordinates of a product probability space and taking values in the real or complex vector space equipped with some (possibly infinite) seminorms. The more general framework of the Hoffmann-Jørgensen inequality may be applied to uniform laws of large numbers for triangular arrays of stochastic processes.
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 60G55
Mathematics Subject Classification ID: 60F17
zbMATH DE Number: 1112249
zbMATH Keywords: Hoffmann-Jørgensen inequality
zbMATH Keywords: measurable cover function
zbMATH Keywords: symmetrization
zbMATH Keywords: Orlicz condition
zbMATH Keywords: uniform law of large numbers
zbMATH Keywords: asymptotic equicontinuity
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1112249