A note on the bootstrapped empirical process

Gutti Jogesh Babu

doi:10.1016/j.jspi.2003.09.003

A note on the bootstrapped empirical process

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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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10.1016/j.jspi.2003.09.003

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title = "A note on the bootstrapped empirical process",

abstract = "Let Fn denote the empirical distribution of a sample of size n from a distribution function F, and let Hn,t denote the distribution of n(Fn(t)-F(t)). Contrary to the intuition, Hn,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.",

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A note on the bootstrapped empirical process

Abstract

All Science Journal Classification (ASJC) codes

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