论文标题
在加权广义熵上，以进行双截断分布
On Weighted Generalized Entropy for Double Truncated Distribution
论文作者
论文摘要
在信息理论文献中，最近提出了加权雷尼（Renyi）的加权雷尼（Renyi）熵的概念。在本文中，我们介绍了一种通用度量，以进行双重截断分布，即加权的广义间隔熵（WGIE），并在可靠性分析的背景下进行研究。研究了几种特性，包括单调性，界限和WGIE的独特性。此外，进行了模拟研究，以证明使用模拟和真实数据集的估计值的性能。 WGIE在可靠性建模中的作用也已针对现实生活中的问题进行了研究。
The notion of weighted Renyi's entropy for truncated random variables has recently been proposed in the information-theoretic literature. In this paper, we introduce a generalized measure of it for double truncated distribution, namely weighted generalized interval entropy (WGIE), and study it in the context of reliability analysis. Several properties, including monotonicity, bounds and uniqueness of WGIE are investigated. Moreover, a simulation study is carried out to demonstrate the performance of the estimates of the proposed measure using simulated and real data sets. The role of WGIE in reliability modeling has also been investigated for a real-life problem.
