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

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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.
6 pages. Accepted for publication in Siberian Math. Journal. See also http://www.nsu.ru/mmf/tvims/baklanov/baklanov.html

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Probability, Statistics Theory, 60F15; 62G30

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http://salesiana.dossiersoluciones.com/handle/123456789/131193

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609758
 http://arxiv.org/abs/math/0609758

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arXiv