标题： 最大等级抽样不等样本的累积Tsallis熵 显示英文标题

标题： Cumulative Tsallis Entropy for Maximum Ranked Set Sampling with Unequal Samples

摘要： 在本文中，我们从Tsallis熵的角度考虑最大排序集抽样过程与不等样本（MRSSU）的信息内容，Tsallis熵是Shannon熵的一种非加性推广。 我们获得了Tsallis熵的几个结果，包括界限、单调性质、随机序以及在一些假设下的紧界。 我们还比较了MRSSU与其在简单随机抽样（SRS）数据中的对应情况的不确定性与信息内容。 最后，我们根据MRSSU和SRS数据的累积Tsallis熵和剩余Tsallis熵，得出了某些特征结果。 显示英文摘要

摘要： In this paper, we consider the information content of maximum ranked set sampling procedure with unequal samples (MRSSU) in terms of Tsallis entropy which is a nonadditive generalization of Shannon entropy. We obtain several results of Tsallis entropy including bounds, monotonic properties, stochastic orders, and sharp bounds under some assumptions. We also compare the uncertainty and information content of MRSSU with its counterpart in the simple random sampling (SRS) data. Finally, we develop some characterization results in terms of cumulative Tsallis entropy and residual Tsallis entropy of MRSSU and SRS data.