(1) Department of Applied Mathematics, National Dong Hwa University, Hualien, Taiwan
Abstract:
In this paper, we consider a nonparametric estimator of the Lorenz curve and Gini index when the data are subjected to random
left truncation and right censorship. Strong Gaussian approximations for the associated Lorenz process are established under
appropriate assumptions. A law of the iterated logarithm for the Lorenz curve is also derived. Lastly, we obtain a central
limit theorem for the corresponding Gini index.