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Nonparametric Estimates of Standard Error: The Jackknife, the Bootstrap and Other Methods

Bradley Efron
Biometrika
Vol. 68, No. 3 (Dec., 1981), pp. 589-599
Published by: Oxford University Press on behalf of Biometrika Trust
DOI: 10.2307/2335441
Stable URL: http://www.jstor.org/stable/2335441
Page Count: 11
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Nonparametric Estimates of Standard Error: The Jackknife, the Bootstrap and Other Methods
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Abstract

We discuss several nonparametric methods for attaching a standard error to a point estimate: the jackknife, the bootstrap, half-sampling, subsampling, balanced repeated replications, the infinitesimal jackknife, influence function techniques and the delta method. The last three methods are shown to be identical. All the methods derive from the same basic idea, which is also the idea underlying the common parametric methods. Extended numerical comparisons are made for the special case of the correlation coefficient.

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