Generalized bootstrap for estimating equations

Details Generalized bootstrap for estimating equations Generalized bootstrap for estimating equations

2005-04-25

arxiv.org/abs/math/0504515v1

Annals of Statistics 2005, Vol. 33, No. 1, 414-436

Mathematics

Statistics Theory

Published at http://dx.doi.org/10.1214/009053604000000904 in the Annals of Statistics (http://www.imstat.org/aos/) by the Inst

Scientific paper

10.1214/009053604000000904

We introduce a generalized bootstrap technique for estimators obtained by solving estimating equations. Some special cases of this generalized bootstrap are the classical bootstrap of Efron, the delete-d jackknife and variations of the Bayesian bootstrap. The use of the proposed technique is discussed in some examples. Distributional consistency of the method is established and an asymptotic representation of the resampling variance estimator is obtained.

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