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On a weighted bootstrap approximation of the Lp norms of kernel density estimators

Bo Liu and Majid Mojirsheibani

Statistics & Probability Letters, 2015, vol. 105, issue C, 65-73

Abstract: A weighted bootstrap method is considered to approximate the distribution of the Lp norms of kernel density estimates. Here p is any number in [1,∞). Using a Komlós–Major–Tusnády type approximation (Komlós et al., 1975) for weighted bootstrap processes, due to Horváth et al. (2000), we establish unconditional bootstrap central limit theorems for these Lp statistics.

Keywords: Kernel; Density; CLT; Brownian bridge; Bootstrap (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1016/j.spl.2015.06.005

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