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Extropy estimators with applications in testing uniformity

机译：熵估计器在测试均匀性中的应用

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摘要

Two estimators for estimating the extropy of an absolutely continuous random variable with known support were introduced by using spacing. It is shown that the proposed estimators are consistent and their mean square errors are shift invariant. Their behaviours were also studied by means of real data and Monte Carlo simulation. The winner estimator of extropy in the Monte Carlo experiment was used to develop goodness-of-fit test for standard uniform distribution. It is shown that the extropy-based test that we proposed performs well by comparing its powers with that of other tests for uniformity.
机译：通过使用间距，引入了两个用于估计具有已知支持的绝对连续随机变量的外向性的估计器。结果表明，所提出的估计量是一致的，并且它们的均方误差是平移不变的。还通过真实数据和蒙特卡洛模拟研究了它们的行为。蒙特卡罗实验中外向性的优胜者估计数用于制定标准均匀分布的拟合优度检验。结果表明，我们提出的基于外向性的测试通过将其功效与其他测试的功效进行比较来表现良好。

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