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Asymptotic accuracy of the jackknife variance estimator for certain smooth statistics

Alex D Gottlieb

math.STarXiv:math/0109002

Abstract

We show that that the jackknife variance estimator vjack 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 vjack for these functionals.

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