On the rate of convergence of quasigroup convolutions of probability distributions (Q6548986)
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scientific article; zbMATH DE number 7858821
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the rate of convergence of quasigroup convolutions of probability distributions |
scientific article; zbMATH DE number 7858821 |
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On the rate of convergence of quasigroup convolutions of probability distributions (English)
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3 June 2024
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The author considers one of the possible generalizations of sums of independent random variable to the case of operations on a finite set, namely quasigroup ``sums'' that use quasigroup operations on a given finite set instead of the addition operation. For quasigroup ``sums'' that contain \(n\) independent identically distributed random variables, it is proven that the rate of convergence of distributions to uniform distribution is exponential in \(n.\)
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random variable sum
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finite quasigroup
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limit distribution
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convergence rate
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