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Asymptotic accuracy of the jackknife variance estimator for certain smooth statistics

Statistics Theory 2007-06-13 v1 Statistics Theory

Abstract

We show that that the jackknife variance estimator vjackv_{jack} and the the infinitesimal jackknife variance estimator are asymptotically equivalent if the functional of interest is a smooth function of the mean or a smooth trimmed L-statistic. We calculate the asymptotic variance of vjackv_{jack} for these functionals.

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Cite

@article{arxiv.math/0109002,
  title  = {Asymptotic accuracy of the jackknife variance estimator for certain smooth statistics},
  author = {Alex D Gottlieb},
  journal= {arXiv preprint arXiv:math/0109002},
  year   = {2007}
}

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13 pages