The general weighted cumulative residual extropy (GWCRJ) and general weighted cumulative past extropy (GWCPJ) are introduced in this paper. There are some results in relation to GWCPJ and GWCRJ. We take into account GWCRJ-based uncertainty measures for the minimal ranked set sampling technique with unequal samples (minRSSU). Additionally, we take into account GWCPJ-based uncertainty measures for the maximum ranked set sampling technique with unequal samples (maxRSSU). Stochastic comparison for Simple random sampling (SRS) is discussed. We looked at the monotone properties of minRSSU and maxRSSU as well as stochastic comparison. Finally, two empirical estimators of GWCPJ and GWCRJ are obtained.
翻译:本文引入了广义加权累积残差熵(GWCRJ)和广义加权累积过去熵(GWCPJ),并给出了二者之间的若干相关结果。我们考虑了基于GWCRJ的不确定性度量在不等样本最小排序集抽样技术(minRSSU)中的应用,同时讨论了基于GWCPJ的不确定性度量在不等样本最大排序集抽样技术(maxRSSU)中的应用。此外,还探讨了与简单随机抽样(SRS)的随机比较,研究了minRSSU和maxRSSU的单调性质及随机比较问题。最后,得到了GWCPJ和GWCRJ的两个经验估计量。