Norming operators for generalized domains of semistable attraction (Q2754939)
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scientific article; zbMATH DE number 1668783
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Norming operators for generalized domains of semistable attraction |
scientific article; zbMATH DE number 1668783 |
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5 November 2001
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domains of attraction
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0.95643187
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0.92094666
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0.90291584
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0.8944477
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0.88939816
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0.88909703
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Norming operators for generalized domains of semistable attraction (English)
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It is shown that the norming operators of a probability measure on \(R^d\) belonging to the generalized domain of semistable attraction of a full operator semistable law can be embedded into a regularly varying sequence of linear operators. This property is then used to derive stochastic compactness results; these results are closely related to the large deviation principles and the laws of the iterated logarithms derived by the author [Probab. Theory Relat. Fields 116, No. 2, 257-271 (2000; Zbl 0960.60022)].
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