On the asymptotic equidistribution of sums of independent identifically distributed random variables (Q1116536)
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scientific article; zbMATH DE number 4090484
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the asymptotic equidistribution of sums of independent identifically distributed random variables |
scientific article; zbMATH DE number 4090484 |
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On the asymptotic equidistribution of sums of independent identifically distributed random variables (English)
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1989
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For a sum \(S_ n\) of n I.I.D. random variables the idea of approximate equidistribution is made precise by introducing a notion of asymptotic translation invariance. The distribution of \(S_ n\) is shown to be asymptotically translation invariant in this sense iff \(S_ 1\) is nonlattice. Some ramifications of this result are given.
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equidistribution
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asymptotic translation invariance
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