© 1976 by Biometrika Trust
Some asymptotic properties of jackknife statistics
Department of Mathematics, University of Lund
The jackknife and the original statistic from which it is derived often have the same asymptotic distribution. In fact, their difference often has a variance of smaller order than the original statistic. We give sufficient and almost necessary conditions for this. We prove a similar result also for regular functions of the statistic. Applications are given to sample moments and linear combinations of order statistics. We discuss possible gains and losses in precision when using the jackknife procedure. In particular we give a lower bound on the variance of the jackknife.
Key Words: Aaymptotio distribution Jackknife Moments Order statistics Variance
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