ABSTRACT

The extropy measure is a complementary dual function of Shannon entropy which was proposed by Lad et al. Extropy: complementary dual of entropy. Stat Sci. 2015;30:40–58. This measure of uncertainty have received a considerable attention in the last five years. In this paper, several methods of estimation for the extropy and entropy measures based a progressively Type-II censored data are derived. Simulation studies have been performed to see the effectiveness of the proposed methods, and two real data sets have been analysed for illustrative purposes. Extropy and entropy-based tests of uniformity are also proposed along with their simulated critical values. The power values of the proposed tests are simulated and studied under various alternatives.

摘要

熵测度是由 Lad 等人提出的香农熵的互补对偶函数。熵：熵的互补对偶。统计科学。2015；30:40-58。在过去五年中，这种不确定性的衡量标准受到了相当大的关注。在本文中，导出了几种基于渐进式 II 型删失数据的熵和熵测度的估计方法。已经进行了模拟研究以查看所提出方法的有效性，并且出于说明目的分析了两个真实数据集。还提出了基于熵和熵的均匀性测试及其模拟临界值。建议测试的功效值在各种替代方案下进行了模拟和研究。