Estimation of Gini-index from continuous distribution based on ranked set sampling


Abstract


This paper introduces the idea of using the novel ranked set sampling scheme for estimating the Gini index from continuous distributions. A one dimensional integral estimation problem based on ranked samples was discussed. It is demonstrated by a simple Monte Carlo experiment that this approach provides an unbiased and more efficient Gini index estimators than the traditional estimators based on simple random sampling.

DOI Code: 10.1285/i20705948v1n1p33

Keywords: ranked set sampling; Lorenz curve; Gini index

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