A note on the bootstrapped empirical process

G. Jogesh Babu

doi:10.1016/j.jspi.2003.09.003

A note on the bootstrapped empirical process

Research output: Contribution to journal › Article

Abstract

Let F_n denote the empirical distribution of a sample of size n from a distribution function F, and let H_n,t denote the distribution of n(F_n(t)-F(t)). Contrary to the intuition, H_n,t is not approximated uniformly over t by its bootstrapped counterpart. The main problem is at the values of t near the tails of F. Two results exploring this phenomenon are presented here.

Original language	English (US)
Pages (from-to)	587-589
Number of pages	3
Journal	Journal of Statistical Planning and Inference
Volume	126
Issue number	2
DOIs	https://doi.org/10.1016/j.jspi.2003.09.003
State	Published - Dec 1 2004

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty
Applied Mathematics

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Babu, G. J. (2004). A note on the bootstrapped empirical process. Journal of Statistical Planning and Inference, 126(2), 587-589. https://doi.org/10.1016/j.jspi.2003.09.003

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