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

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

2006-09-27

arxiv.org/abs/math/0609758v1

Mathematics

Probability

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

Scientific paper

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 $\phi$-mixing
sequences of identically distributed random variables.

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