Title : ( Asymptotic Behaviors of the Lorenz Curve for Censored Data Under Strong Mixing )
Authors: Mohammad Bolbolian Ghalibaf , Vahid Fakoor , Hassan Ali Azarnoosh ,
Full TextAbstract
In this article, we consider a nonparametric estimator of the Lorenz curve under censored dependent model. We show that this estimator is uniformly strongly consistent for the associated Lorenz curve. Also, a strong Gaussian approximation for the associated Lorenz process are established under appropriate assumptions. A law of the iterated logarithm for the Lorenz process is also derived.
Keywords
Censored data; Kaplan–Meier estimator; Law of the iterated logarithm; Lorenz Curve; Quantile function; Strong consistency; Strong Gaussian approximation; Strong mixing
@article{paperid:1017929,
author = {Bolbolian Ghalibaf, Mohammad and Fakoor, Vahid and Azarnoosh, Hassan Ali},
title = {Asymptotic Behaviors of the Lorenz Curve for Censored Data Under Strong Mixing},
journal = {Communications in Statistics - Theory and Methods},
year = {2011},
volume = {40},
number = {2},
month = {February},
issn = {0361-0926},
pages = {323--332},
numpages = {9},
keywords = {Censored data; Kaplan–Meier estimator; Law of the iterated
logarithm; Lorenz Curve; Quantile function; Strong consistency; Strong
Gaussian approximation; Strong mixing},
}
%0 Journal Article
%T Asymptotic Behaviors of the Lorenz Curve for Censored Data Under Strong Mixing
%A Bolbolian Ghalibaf, Mohammad
%A Fakoor, Vahid
%A Azarnoosh, Hassan Ali
%J Communications in Statistics - Theory and Methods
%@ 0361-0926
%D 2011
