Estimating income inequality in the stratified sampling from complete data. II. The asymptotic behaviour and the choice of sample size

The First Part of this paper deals with the study of the precision of an unbiased estimator of a population income inequality index in the stratified samplings with and without replacement. In this Second Part, we first analyze the asymptotic distribution of the sample income inequality index. Then, we establish different criteria to select the suitable sample size to estimate the population index with a desired degree of precision. One of these criteria is based on Chebyshev's approach and the other one follows from the preceding asymptotic study.