Central limit theorem for linearly dependent fields of continuous elements (Q1075675)
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scientific article; zbMATH DE number 3951673
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Central limit theorem for linearly dependent fields of continuous elements |
scientific article; zbMATH DE number 3951673 |
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Central limit theorem for linearly dependent fields of continuous elements (English)
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1987
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The central limit theorem for stationary linearly dependent sequences is extended for elements in the space of continuous functions on a compact metric space. The proof is based on a new estimate for exponential-type moments of sums of independent random variables.
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central limit theorem
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random Fourier series
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metric entropy
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set indexed process
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linearly dependent random field
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