The extropy measure, first proposed by Lad, Sanfilippo, and Agro in their (2015) paper in Statistical Science, has attracted considerable attention in recent years. Our study introduces a fresh approach to representing weighted extropy in the framework of percentile ranked set sampling. Furthermore, we provide additional insights such as stochastic orders, characterizations, and bounds. Our findings illuminate the comparison between the weighted extropy of percentile ranked set sampling and its equivalent in simple random sampling.

翻译：外熵度量最早由Lad、Sanfilippo和Agro在2015年发表于《统计科学》的论文中提出，近年来受到广泛关注。本研究提出了一种在百分位秩集抽样框架下表征加权外熵的新方法。此外，我们进一步提供了随机序、特征刻画及界限等补充性见解。研究结果揭示了百分位秩集抽样的加权外熵与其在简单随机抽样中对应量之间的比较关系。