论文标题
累积tsallis熵,用于最大排名的样本,并带有不等的样品
Cumulative Tsallis Entropy for Maximum Ranked Set Sampling with Unequal Samples
论文作者
论文摘要
在本文中,我们将最大排名设置采样程序的信息内容与Tsallis熵有关,这是Shannon熵的非添加概括。我们在某些假设下获得了Tsallis熵的几个结果,包括边界,单调特性,随机顺序和锐度边界。我们还将MRSSU的不确定性和信息内容与简单随机采样(SRS)数据中的对应物进行了比较。最后,我们根据MRSSU和SRS数据的累积tsallis熵和残留的Tsallis熵来开发一些表征。
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.