Corpus ID: 59419231

A note on the asymptotic equivalence of jackknife and linearization variance estimation for the Gini coefficient

  title={A note on the asymptotic equivalence of jackknife and linearization variance estimation for the Gini coefficient},
  author={Y. Berger},
  journal={Journal of Official Statistics},
  • Y. Berger
  • Published 2008
  • Mathematics
  • Journal of Official Statistics
The Gini coefficient (Gini 1914) has proved valuable as a measure of income inequality. In cross-sectional studies of the Gini coefficient, information about the accuracy of its estimates is crucial. We show how to use jackknife and linearization to estimate the variance of the Gini coefficient, allowing for the effect of the sampling design. The aim is to show the asymptotic equivalence (or consistency) of the generalized jackknife estimator (Campbell 1980) and the Taylor linearization… Expand

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