• Corpus ID: 88513820

A functional derivative useful for the linearization of inequality indexes in the design-based framework

@article{Barabesi2014AFD,
  title={A functional derivative useful for the linearization of inequality indexes in the design-based framework},
  author={Lucio Barabesi and Giancarlo Diana and Pier Francesco Perri},
  journal={arXiv: Methodology},
  year={2014}
}
Linearization methods are customarily adopted in sampling surveys to obtain approximated variance formulae for estimators of nonlinear functions of finite population totals - such as ratios, correlation coefficients or measures of income inequality - which can be usually rephrased in terms of statistical functionals. In the present paper, by considering the Deville (1991) approach stemming on the concept of design-based influence curve, we provide a general result for linearizing large families… 
On the linearization of inequality indexes in the design-based framework
Linearization methods are customarily adopted in sampling surveys to obtain approximated variance formulae for estimators of nonlinear functions of finitepopulation totals which can be usually
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Variance estimation of complex population parameters is a matter of primary concern in the sampling practice and linearization methods are customarily adopted. In this paper, we extend Deville's