Asymptotic equivalence of the jackknife and infinitesimal jackknife variance estimators for some smooth statistics

Details Asymptotic equivalence of the jackknife and infinitesimal jackknife variance estimators for some smooth statistics Asymptotic equivalence of the jackknife and infinitesimal jackknife variance estimators for some smooth statistics

2003-01-31

arxiv.org/abs/math/0301363v1

Mathematics

Statistics Theory

9 pages. To appear in Annals of the Institute of Statistical Mathematics

Scientific paper

The jackknife variance estimator and the the infinitesimal jackknife variance
estimator are shown to be asymptotically equivalent if the functional of
interest is a smooth function of the mean or a trimmed L-statistic with Hoelder
continuous weight function.

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