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Asymptotic behaviors of the Lorenz curve and Gini index in sampling from a length-biased distribution
In this work, we consider the nonparametric estimators of the Lorenz curve and Gini
index based on a sample from the corresponding length-biased distribution. We show
that this estimators are strongly consistent ...
Strong Gaussian approximations of product-limit and quantile processes for truncated data under strong mixing
In this paper, we consider the product-limit quantile estimator of an unknown quantile
function under a truncated dependent model. This is a parallel problem to the estimation of
the unknown distribution ...
Asymptotic Behaviors of the Lorenz Curve for Censored Data Under Strong Mixing
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, ...
Asymptotic behaviors of the Lorenz curve for left truncated and dependent data
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. ...
Aspects of Dependence in Cuadras–Auge Family
In this article, we study the dependence structure of Cuadras–Auge (C–A) family
of bivariate distributions. We also obtain some association measures and two local
dependence functions for this family. In ...