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On the strong law of large numbers for L-statistics with dependent data

Evgeny Baklanov
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Abstract

The strong law of large numbers for linear combinations of functions of order statistics ($L$-statistics) based on weakly dependent random variables is proven. We also establish the Glivenko--Cantelli theorem for $ϕ$-mixing sequences of identically distributed random variables.

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Evgeny Baklanov. 2006-09-27. On the strong law of large numbers for L-statistics with dependent data. https://arxiv.org/abs/math/0609758

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