On Hoffmann-Jørgensen-type inequalities for outer expectations with applications (Q1377214)
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scientific article; zbMATH DE number 1112249
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Hoffmann-Jørgensen-type inequalities for outer expectations with applications |
scientific article; zbMATH DE number 1112249 |
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On Hoffmann-Jørgensen-type inequalities for outer expectations with applications (English)
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9 August 1998
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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.
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Hoffmann-Jørgensen inequality
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measurable cover function
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symmetrization
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Orlicz condition
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uniform law of large numbers
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asymptotic equicontinuity
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0.89052093
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0.88420904
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0.88156015
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0.8788344
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0.8773551
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0.86728185
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0.8657168
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