Asymptotic Normality and the Bootstrap in Stratified Sampling
Asymptotic Normality and the Bootstrap in Stratified Sampling
This paper is about the asymptotic distribution of linear combinations of stratum means in stratified sampling, with and without replacement. Both the number of strata and their size is arbitrary. Lindeberg conditions are shown to guarantee asymptotic normality and consistency of variance estimators. The same conditions also guarantee the validity …