English

A Characterization Based On Products of Order Statistics

Statistics Theory 2012-10-30 v3 Statistics Theory

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.

Keywords

Cite

@article{arxiv.1110.2879,
  title  = {A Characterization Based On Products of Order Statistics},
  author = {Güvenç Arslan},
  journal= {arXiv preprint arXiv:1110.2879},
  year   = {2012}
}

Comments

8 pages

R2 v1 2026-06-21T19:19:36.448Z