On extropy properties of ranked set sampling
On extropy properties of ranked set sampling
复制标题
关于排序集采样的熵性质
DOI：
10.1080/02331888.2018.1533963
复制
发表时间：
2019-01-02
期刊：
影响因子：
1.9
通讯作者：
Qiu, Guoxin
中科院分区：
文献类型：
--
作者：
Raqab, Mohammad Z.;Qiu, Guoxin
排序集抽样是一种允许实验者覆盖总体的全范围值的抽样设计，可广泛应用于工业、环境和生态研究中。本文从外部性的角度考虑了排序集抽样的信息量。结果表明，排序集抽样的性能优于相同大小的简单随机抽样。研究了系统的单调性质和随机序。在非参数设置下建立了基于投影法的RSS数据外部性的锐界，并在参数环境下建立了Steffensen不等式。外向度也可以作为区分RSS和SRS数据的工具。
ABSTRACT Ranked set sampling is a sampling design that allows the experimenter to span the full range values in the population and it can be used widely in industrial, environmental and ecological studies. In this paper, we consider the information content of ranked set sampling in terms of extropy measure. It is shown that the ranked set sampling performs better than its simple random sample counterpart of the same size. Monotone properties and stochastic orders are investigated. Sharp bounds on the extropy of RSS data based on the projection method in the non-parametric set-up as well as Steffensen inequalities in the parametric context are established. The extropy measure can also be used as a discrimination tool between RSS and SRS data.