Title : ( Asymptotic behaviors of the Lorenz curve for left truncated and dependent data )
Authors: Mohammad Bolbolian Ghalibaf , Vahid Fakoor , Hassan Ali Azarnoosh ,
Full TextAbstract
The purpose of this paper is to provide some asymptotic results for nonparametric estimator of the Lorenz curve and Lorenz process for the case in which data are assumed to be strong mixing subject to random left truncation. First, we show that nonparametric estimator of the Lorenz curve is uniformly strongly consistent for the associated Lorenz curve. Also, a strong Gaussian approximation for the associated Lorenz process is established under appropriate assumptions. Using this strong Gaussian approximation, a law of the iterated logarithm for the Lorenz process is also derived.
Keywords
Law of the iterated logarithm; Lorenz curve; Strong Gaussian approximation; Strong mixing; Truncated data
@article{paperid:1030383,
author = {Bolbolian Ghalibaf, Mohammad and Fakoor, Vahid and Azarnoosh, Hassan Ali},
title = {Asymptotic behaviors of the Lorenz curve for left truncated and dependent data},
journal = {Journal of Sciences, Islamic Republic of Iran},
year = {2012},
volume = {23},
number = {2},
month = {September},
issn = {1016-1104},
pages = {171--177},
numpages = {6},
keywords = {Law of the iterated logarithm; Lorenz curve; Strong Gaussian approximation; Strong mixing; Truncated data},
}
%0 Journal Article
%T Asymptotic behaviors of the Lorenz curve for left truncated and dependent data
%A Bolbolian Ghalibaf, Mohammad
%A Fakoor, Vahid
%A Azarnoosh, Hassan Ali
%J Journal of Sciences, Islamic Republic of Iran
%@ 1016-1104
%D 2012
