A Characterization Based On Products of Order Statistics

2011/10/13 by Güvenç Arslan, Arslan, Güvenç
Mathematics · #FOS: Mathematics #Statistics Theory (math.ST) #math.ST #stat.TH

paper · pdf · doi:10.48550/arxiv.1110.2879

8 pages

arxiv created 2012/10/28 · arxiv updated 2012/10/30

Abstract

A new characterization for power function distributions is obtained which is based on products of order statistics. This result may be considered as a generalization of some recent results for contractions. We note that in this new result the product consists of order statistics from independent samples. These type of results are related to some scheme of ranked set sampling, for example.

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