In this paper, we first present the symmetric property of the extropy of record values and some characterisations of exponential distributions. Then a new test for symmetry of the continuous distribution is proposed based on a characterisation result. Our proposed test has an advantage that we do not need to estimate the centre of symmetry. Moreover, for a wide variety of alternative asymmetric distributions, Monte Carlo simulation shows that our test performs better than the competitor tests. Finally, two real data sets are used to illustrate the applicability of the proposed test by monitoring p-values of our test and its competitors.

中文翻译：

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基于记录值的外推性测试对称性

在本文中，我们首先介绍了记录值的外向性的对称性质和指数分布的一些特征。然后根据特征化结果提出了一种新的连续分布对称性检验方法。我们提出的测试的优点是我们不需要估计对称中心。此外，对于各种各样的不对称分布，蒙特卡洛模拟表明我们的测试比竞争对手的测试更好。最后，通过监视我们的测试及其竞争对手的p值，使用两个真实的数据集来说明所建议的测试的适用性。