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ON EXTROPY PROPERTIES AND DISCRIMINATION INFORMATION OF DIFFERENT STRATIFIED SAMPLING SCHEMES
Probability in the Engineering and Informational Sciences ( IF 0.7 ) Pub Date : 2021-01-14 , DOI: 10.1017/s0269964820000716
Abbas Eftekharian , Guoxin Qiu

Ranked set sampling (RSS) and some of its variants are sampling designs that are applied widely in different areas. When the underlying population contains different subpopulations, we can use stratified ranked set sampling (SRSS) which combines the advantages of stratification with RSS. In the present paper, we consider the information content of SRSS in terms of extropy measure. Some results using stochastic orders properties are obtained. The effect of imperfect ranking on discrimination information is analytically investigated. It is proved that discrimination information between the perfect SRSS and simple random sampling (SRS) data sets performs better than that of between the imperfect SRSS and SRS data sets.



中文翻译:

不同分层抽样方案的外延性和判别信息

排序集抽样 (RSS) 及其一些变体是广泛应用于不同领域的抽样设计。当基础人群包含不同的子人群时,我们可以使用分层排序集抽样(SRSS),它结合了分层和RSS的优点。在本论文中,我们根据熵测度来考虑 SRSS 的信息内容。获得了一些使用随机顺序属性的结果。分析研究了不完美排序对判别信息的影响。证明了完美 SRSS 和简单随机抽样 (SRS) 数据集之间的区分信息比不完美 SRSS 和 SRS 数据集之间的区分信息表现更好。

更新日期:2021-01-14
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