On the maximal length of arithmetic progressions (Q388966)
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scientific article; zbMATH DE number 6247248
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the maximal length of arithmetic progressions |
scientific article; zbMATH DE number 6247248 |
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On the maximal length of arithmetic progressions (English)
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17 January 2014
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The goal of this paper is to study the asymptotic distribution of the maximal arithmetic progressions in random subsets. The authors also give the estimation of distribution approximations by using the Chen-Stein method. Then the almost sure limit behaviour of this statistics is discussed.
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arithmetic progression
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Bernoulli sequence
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limit distribution
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Chen-Stein method
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0.92566437
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0.89824724
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0.89497095
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0.88958573
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0.8876186
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