On a lower bound of \(L_p\) norms in the central limit theorem for \(\varphi\)-mixing random variables (Q1415515)
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scientific article; zbMATH DE number 2012908
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a lower bound of \(L_p\) norms in the central limit theorem for \(\varphi\)-mixing random variables |
scientific article; zbMATH DE number 2012908 |
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On a lower bound of \(L_p\) norms in the central limit theorem for \(\varphi\)-mixing random variables (English)
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4 December 2003
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The author derives lower bounds of \(L_p\) norms for all \(p, 1 \leq p \leq \infty\), in the central limit theorem for Rosenblatt strong mixing random variables with finite sixth-order moments in a strictly stationary case and finite eighth-order moments in a not necessarily stationary case.
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lower bounds of the \(L_p\) norms
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central limit theorem
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strong mixing random variables
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0.9462925
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0.9426386
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0.93518096
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0.9298743
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0.9236428
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0.9137622
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