On almost sure local and global central limit theorems (Q1326267)
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scientific article; zbMATH DE number 569005
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On almost sure local and global central limit theorems |
scientific article; zbMATH DE number 569005 |
Statements
On almost sure local and global central limit theorems (English)
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14 July 1994
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Let \(S_ 1,S_ 2,\dots\) be a sequence of sums of i.i.d. random variables. The properties of the logarithmic average \({1 \over \log n} \sum^ n_{k=1} {I\{a_ k \leq S_ k<b_ k\} \over kP(a_ k \leq S_ k<b_ k)}\) will be studied under some conditions.
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logarithmic average
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