Abstract

In this paper, we propose nonparametric kernel estimators for Shannon differential entropy function under length-biased sampling. Asymptotic properties of the estimators are established under suitable regularity conditions. A simulation study is accomplished to compare the performance of proposed estimators. The usefulness of the estimators are also examined using a real data.

中文翻译：

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偏长采样下熵函数的核估计

摘要

在本文中，我们提出了长度偏置采样下香农微分熵函数的非参数核估计器。估计量的渐近性质是在合适的规律性条件下建立的。完成了一项模拟研究来比较建议的估计器的性能。还使用真实数据检查了估计器的有用性。