Limit theorems for shift selfsimilar additive random sequences (Q1847606)
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scientific article; zbMATH DE number 1836036
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit theorems for shift selfsimilar additive random sequences |
scientific article; zbMATH DE number 1836036 |
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Limit theorems for shift selfsimilar additive random sequences (English)
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26 October 2003
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The paper introduces shift self-similar sequences as a discrete time analogue of self-similar processes. Their almost sure asymptotic behaviour is in the center of the author's interest. He presents and proves several results describing the convergence rate by exponential multiplied with an appropriate positive monotone function.
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self-similar process
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shift self-similar sequence
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almost sure convergence
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