Bootstrap of means under stratified sampling

O. Pons

Published 2007 in Electronic Journal of Statistics

ABSTRACT

In a two-stage cluster sampling procedure, n random popu- lations are drawn independently from independent populations and a sub- sample of observations is taken in each of them. The estimator of the general mean of the observed variables is asymptotically Gaussian and the asymp- totic distributions of several bootstrap versions of the normalized and stu- dentized statistics are studied. A weighted population resampling provides a good approximation and its accuracy depends on the convergence rate of the sample size of the populations. AMS 2000 subject classifications: Primary 62F12, 60F40.

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