A new characterization of the power distribution

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摘要

A new characterization for the power function distribution is obtained which is based on products of order statistics. This result may be considered as a generalization of some recent results for contractions. The result is obtained by applying a new variant of the Choquet–Deny theorem. We note that in this new result the product consists of order statistics from independent samples. This characterization result may also be interpreted in terms of some special scheme of ranked set sampling.

论文关键词:Characterization,Power distribution,Order statistics,Choquet–Deny theorem,Ranked set sample

论文评审过程:Received 13 February 2013, Revised 10 April 2013, Available online 5 October 2013.

论文官网地址:https://doi.org/10.1016/j.cam.2013.09.068

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