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March 1, 1984Journal of the American Statistical Association402 citations

Bootstrapping a Regression Equation: Some Empirical Results

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DFDavid A. FreedmanSPStephen C. Peters

Key Points

  • This article aims to demonstrate the application of the bootstrap technique in estimating standard errors for an econometric equation on energy demand.
  • Applied the bootstrap technique to estimate standard errors in an econometric equation describing energy demand.
  • Conducted Monte Carlo simulations to analyze the underlying error distribution.
  • Provided mathematical proofs for findings related to conventional asymptotic formulas.
  • Conventional asymptotic formulas overestimate standard errors by nearly a factor of three in finite samples.
  • The bootstrap method yielded more accurate standard error estimates for the energy demand model.

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.

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Cite This Study

Freedman et al. (1984) studied this question.

synapsesocial.com/papers/6a107dbdb6f5ee040160bbd4https://doi.org/10.1080/01621459.1984.10477069
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