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math.ST updates on arXiv.org

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Asymptotic accuracy of the jackknife variance estimator for certain smooth statistics
Alex D Gottlieb · 2001-09-01 · via math.ST updates on arXiv.org

We show that that the jackknife variance estimator $v_{jack}$ 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 $v_{jack}$ for these functionals.

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