Approximation for general bootstrap of empirical processes with an application to kernel-type density estimation

Details Approximation for general bootstrap of empirical processes with an application to kernel-type density estimation Approximation for general bootstrap of empirical processes with an application to kernel-type density estimation

2009-03-28

arxiv.org/abs/0903.4954v1

Mathematics

Statistics Theory

Scientific paper

The purpose of this note is to provide an approximation for the generalized
bootstrapped empirical process achieving the rate in Kolmos et al. (1975). The
proof is based on much the same arguments as in Horvath et al. (2000). As a
consequence, we establish an approximation of the bootstrapped kernel-type
density estimator

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