论文标题
基于累积的过去和记录值的剩余外侧面测试对称性
Testing of symmetry based on cumulative past and residual extropy of record values
论文作者
论文摘要
在本文中，我们正在测试在随机变量上观察到的数据分布中的对称性。我们根据Gupta和Chaudhary（2022）[5]开发的表征，使用记录值的累积过去和残余额外额外的测试统计数据。结果表明，获得的估计量是一致的。我们提出的测试具有一个优势，即我们不需要估计对称中心。已经获得了拟议的测试统计数据的经验密度，临界值和功率。测试程序已在六个现实生活数据集上实施，以验证其在识别对称性质方面的性能。模拟表明我们的测试的性能比竞争对手测试更好。
In this paper, we are testing the symmetry in the distribution of data observed on a random variable. We proposed test statistics using cumulative past and residual extropy of record values based on the characterization developed by Gupta and Chaudhary (2022) [5]. It is shown that the obtained estimator is consistent. Our proposed test has an advantage that we do not need to estimate the centre of symmetry. The empirical density, critical value and power of the proposed test statistics have been obtained. The test procedure has been implemented on six real-life data sets to verify its performance in identifying the symmetric nature. Simulations indicate our test performs better than the competitor tests.
