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Application of the Bootstrap Method for Estimation of the Quantile Function

机译:Bootstrap方法在分位数函数估计中的应用

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摘要

The bootstrap method was used to reduce the sample volume at estimating the quantile function. Accuracy of the quantile sample estimate vs. the distribution of random variable was established analytically. A numerical example of calculation of the quantiles using the proposed bootstrap procedure for the uniform, normal, and Cauchy distributions was considered. An approximate formula for calculation of the quantile of the normal distribution was determined.
机译:引导法用于估计分位数函数时减少样本量。通过分析确定分位数样本估计值相对于随机变量分布的准确性。考虑了使用提出的自举程序计算均匀,正态和柯西分布的分位数的数值示例。确定了用于计算正态分布的分位数的近似公式。

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