Abstract

Abstract The bootstrap, like the jackknife, is a technique for estimating standard errors. The idea is to use Monte Carlo simulation based on a nonparametric estimate of the underlying error distribution. The main object of this article is to present the bootstrap in the context of an econometric equation describing the demand for energy by industry. As it turns out, the conventional asymptotic formulas for estimating standard errors are too optimistic by factors of nearly three, when applied to a particular finite-sample problem. In a simpler context, this finding can be given a mathematical proof.

Keywords

Bootstrapping (finance)Jackknife resamplingMonte Carlo methodContext (archaeology)Standard errorNonparametric statisticsMathematicsApplied mathematicsSample (material)EconometricsRegressionAsymptotic analysisStatisticsComputer scienceEstimator

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Bootstrap Methods: Another Look at the Jackknife

We discuss the following problem: given a random sample $\\mathbf{X} = (X_1, X_2, \\cdots, X_n)$ from an unknown probability distribution $F$, estimate the sampling distribution...

1979 The Annals of Statistics 16966 citations

Publication Info

Year
1984
Type
article
Volume
79
Issue
385
Pages
97-106
Citations
400
Access
Closed

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David A. Freedman, Stephen C. Peters (1984). Bootstrapping a Regression Equation: Some Empirical Results. Journal of the American Statistical Association , 79 (385) , 97-106. https://doi.org/10.1080/01621459.1984.10477069

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DOI
10.1080/01621459.1984.10477069