A Characterization Based On Products of Order Statistics
G\"uven\c{c} Arslan
TL;DR
This paper introduces a new characterization of power function distributions using products of order statistics from independent samples, extending previous results related to contractions and ranked set sampling schemes.
Contribution
It provides a novel characterization of power function distributions based on products of order statistics, generalizing recent contraction results.
Findings
New characterization of power function distributions
Extension of contraction-related results
Relevance to ranked set sampling schemes
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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Taxonomy
TopicsStatistical Distribution Estimation and Applications · Probabilistic and Robust Engineering Design · Reliability and Maintenance Optimization