The Asymptotic Distribution of the S–Gini Index

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Statistical Size Distributions in Economics and Actuarial Sciences (2003, background): “It was developed by Sendler (1979) for the classical Gini coefficient and more recently by Zitikis and Gastwirth (2002) for the generalized version.”
Statistical Inference with Generalized Gini Indices of Inequality, Poverty, and Welfare (2009, methodology): “Zitikis and Gastwirth (2002) and Zitikis (2003) consider an alternative approach to the asymptotics of Gini inequality indices from that pursued in Barrett and Donald (2000)—an earlier draft of this article.”
$L$-functions, processes, and statistics in measuring economic inequality and actuarial risks (2009, methodology): “First, we need to verify convergence of finite dimensional distributions (fdd’s) of the L-process, which can be done using the Cramér-Wold device and the pointwise (i.e., for each t ∈ [0, 1]) asymptotic representation (32) ηn(t) = 1√ n n∑ i=1 λi(t) + oP(1), which can be found in many proofs dealing”