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arXiv · 1705.09900

A bootstrap approximation to Lp_statistic of kernel density estimator in length-biased model

Raheleh Zamini
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Abstract

This article presents a bootstrap approximation to the Lp_statistics of kernel density estimator in length-biased model. Length-biased data arise in many situations, such as survival analysis, renewal processes and physics. The article establishes a bootstrap central limit theorem for the corresponding bootstrap version of this Lp_statistic. The bootstrap is a widely used tool in statistics and, therefore, the properties of this bootstrap approximation are of great interest in applied as well as in theoretical statistics.

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Raheleh Zamini. 2017-05-28. A bootstrap approximation to Lp_statistic of kernel density estimator in length-biased model. https://arxiv.org/abs/1705.09900

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