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Bounds for L-Statistics from Weakly Dependent Samples of Random Length
Authors:M. Kaluszka
Affiliation:Institute of Mathematics, Technical University of Lodz , Lodz, Poland
Abstract:ABSTRACT

Sharp bounds on expected values of L-statistics based on a sample of possibly dependent, identically distributed random variables are given in the case when the sample size is a random variable with values in the set {0, 1, 2,…}. The dependence among observations is modeled by copulas and mixing. The bounds are attainable and provide characterizations of some non trivial distributions.
Keywords:Copula  Mixing  Order statistics  L-statistics
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