Lorentz spaces and almost-sure boundedness of sequences of independent random variables (Q910796)
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scientific article; zbMATH DE number 4140898
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lorentz spaces and almost-sure boundedness of sequences of independent random variables |
scientific article; zbMATH DE number 4140898 |
Statements
Lorentz spaces and almost-sure boundedness of sequences of independent random variables (English)
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1989
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A set of sequences \(a=(a_ k)\) of real numbers such that \(\sup_{k}| a_ k\xi_ k| <\infty\) a.s. for each sequence of i.i.d. random variables \(\xi_ 1,\xi_ 2,..\). from the space \(L_{p,q}\) (usual Lorenz space) is characterized. The dual problem is also investigated.
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almost sure
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convergence
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Lorenz space
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