Testing symmetry based on the extropy of record values

Testing symmetry based on the extropy of record values
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基于记录值的熵测试对称性

DOI:
10.1080/10485252.2021.1914338
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发表时间:
2021-01
影响因子:
1.2
通讯作者:
Guoxin Qiu
Guoxin Qiu
中科院分区:
数学4区
文献类型:
--
作者:
Peihan Xiong;Weiwei Zhuang;Guoxin Qiu

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本文首先给出了记录值的熵的对称性质和指数分布的一些特征。在此基础上,提出了一种新的连续分布对称性检验方法。我们提出的测试有一个优点,即我们不需要估计对称中心。此外,对于各种可选的非对称分布,蒙特卡罗模拟表明,我们的测试比竞争对手的测试性能更好。最后,通过监测我们的测试及其竞争对手的p值,使用两个真实数据集来说明所提出的测试的适用性。
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.
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