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Paper Information

Journal:   JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS)   NOVEMBER 2007 , Volume 6 , Number 2; Page(s) 173 To 177.
 
Paper: 

A SHARP INEQUALITY FOR MEDIANS OF L-STATISTICS IN A NONPARAMETRIC STATISTICAL MODEL

 
 
Author(s):  ZIELINSKI R.*
 
* INSTITUTE OF MATHEMATICS, POLISH ACADEMY OF SCIENCE, WARSZAWA, POLAND
 
Abstract: 

Sharp bounds for medians of L-statistics in the nonparametric statistical model with all continuous and strictly increasing distribution functions are given. As a corollary we conclude that L-statistics are very poor nonparametric quantile estimators.

 
Keyword(s): HARRELL-DAVIS ESTIMATOR, KAIGH-CHENG ESTIMATOR, LSTATISTICS, QUANTILES, QUANTILE ESTIMATORS
 
References: 
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