分位数和分位数密度函数的非参数估计

X. Yang, H. Ad, D. Wang
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引用次数: 6

摘要

本文提出了一种基于分数阶统计量矩的分位数和分位数密度函数估计的新方法。在截尾和未截尾数据的均方误差(MSE)方面,将所提出的估计量与现有流行的非参数分位数和分位数密度估计量进行了比较。给出了选择分位数和/或分位数密度估计器的建议。
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Nonparametric Estimation of Quantile and Quantile Density Function
In this article, we derive a new and unique method of estimating quantile and quantile density function, which is based on moments of fractional order statistics. A comparison of the proposed estimators is made with existing popular nonparametric quantile and quantile density estimators, in terms of mean squared error (MSE) for censored and uncensored data. Recommendations for the choice of quantile and/or quantile density estimators are given.
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