# 1979 BootstrapMethods

- (Efron, 1979) ⇒ Bradley Efron. (1979). “Bootstrap Methods: Another Look at the Jackknife.” In: The Annals of Statistics, 7(1). http://www.jstor.org/stable/2958830

**Subject Headings:** Bootstrapped Resampling, Quenouille — Tukey jackknife; Jackknifing.

## Notes

- It is a seminal paper on Bootstrapping
- It is based on a technical report published on July 5, 1977. http://statistics.stanford.edu/~ckirby/techreports/BIO/BIO%2032.pdf

## Cited By

- ~6342 http://scholar.google.com/scholar?q=%22Bootstrap+Methods%3A+Another+Look+at+the+Jackknife%22+1979

## Quotes

### Abstract

We discuss the following problem: given a random sample [math]\mathbf{X} = (X_1, X_2, ..., X_n)[/math] from an unknown probability distribution [math]F[/math], estimate the sampling distribution of some prespecified random variable [math]R(\mathbf{X}, F)[/math], on the basis of the observed data [math]\mathbf{x}[/math]. (Standard jackknife theory gives an approximate mean and variance in the case [math]R(\mathbf{X},F)=\theta(\hat{F})-\theta(F), \theta[/math] some parameter of interest.) A general method, called the “bootstrap," is introduced, and shown to work satisfactorily on a variety of estimation problems. The jackknife is shown to be a linear approximation method for the bootstrap. The exposition proceeds by a series of examples: variance of the sample median, error rates in a linear discriminant analysis, ratio estimation, estimating regression parameters, etc.

### 1. Introduction

The Quenouille — Tukey jackknife is an intriguing non-parametric method for estimating the bias and variance of a statistic of interest, and also for testing the null hypothesis that the distribution of a statistic is centered at some prespecified point. ...

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Author | Bradley Efron + |

journal | The Annals of Statistics + |

title | Bootstrap Methods: Another Look at the Jackknife + |

titleUrl | http://webber.physik.uni-freiburg.de/~jeti/studenten seminar/stud sem SS 09/EfronBootstrap.pdf + |

year | 1979 + |