A bootstrap approximation to Lpstatistic of kernel density estimator in length-biased model
Abstract
This article presents a bootstrap approximation to the Lpstatistics 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 Lpstatistic. 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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