The extropy measure, introduced by Lad, Sanfilippo, and Agro in their (2015) paper in Statistical Science, has garnered significant interest over the past years. In this study, we present a novel representation for the weighted extropy within the context of extreme ranked set sampling. Additionally, we offer related findings such as stochastic orders, characterizations, and precise bounds. Our results shed light onthe comparison between the weighted extropy of extreme ranked set sampling and its counterpart in simple random sampling.

翻译：外熵度量由Lad、Sanfilippo和Agro在2015年发表于《统计科学》的论文中提出，近年来引起了广泛关注。本研究提出了极端排序集采样背景下加权外熵的一种新表示形式。此外，我们提供了相关结果，如随机序、特征刻画及精确界。我们的研究结果揭示了极端排序集采样的加权外熵与其在简单随机采样中对应量之间的比较关系。