Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/1882
Title: Characterizations of symmetry via central order statistics and the applications to goodness-of-fit testing
Authors: Milošević, Bojana 
Obradović, Marko 
Affiliations: Probability and Mathematical Statistics 
Probability and Mathematical Statistics 
Issue Date: 2016
Rank: M32
Publisher: CFE and CMStatistics Network
Related Publication(s): 9. CMStatistics International Conference
Conference: International Conference CMStatistics(9 ; 2016 ; Seville)
Abstract: 
In recent times, goodness-of-fit tests based on characterizations have become very popular. In case of symmetry testing, this approach is not much explored. We present some recent characterizations of symmetry around zero that use some properties of the order statistics, as well as some new classes of symmetry tests based on those characterizations . For measuring the quality of those tests we calculate their asymptotic efficiencies against some common alternatives and compare them with other symmetry tests. We also suggest some modifications of the proposed tests, so they could be applied in case of testing symmetry around unknown location. The power comparison for small sample sizes and some applications will also be presented.
URI: https://research.matf.bg.ac.rs/handle/123456789/1882
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