Using permutations to reduce discrepancy (Q921848)
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scientific article; zbMATH DE number 4166687
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Using permutations to reduce discrepancy |
scientific article; zbMATH DE number 4166687 |
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Using permutations to reduce discrepancy (English)
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1990
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Let us take an infinite sequence in [0,1]. The author considers some measure of discrepancies between the repartition of numbers in this sequence and an ``ideal'' repartition. The goal is to minimize those discrepancies. Regarding some of the considered discrepancy measures, the so called ``generalized, symmetrized van der Corput sequences'' give the best currently known results in one dimension. Exact formulae for discrepancies for some van der Corput sequences are given. Some asymptotic results are also presented.
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measure of discrepancy
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reduction
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irregularities of distribution
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Monte Carlo methods
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random number generation
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repartition of numbers
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van der Corput sequences
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asymptotic results
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