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    Asymptotic behaviors of the Lorenz curve and Gini index in sampling from a length-biased distribution 

    Type: Journal Paper
    Author : وحید فکور; محمد بلبلیان قالی باف; حسنعلی آذرنوش; Vahid Fakoor; Mohammad Bolbolian Ghalibaf; Hassan Ali Azarnoosh
    Year: 2011
    Abstract:

    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 

    Type: Journal Paper
    Author : محمد بلبلیان قالی باف; وحید فکور; حسنعلی آذرنوش; Mohammad Bolbolian Ghalibaf; Vahid Fakoor; Hassan Ali Azarnoosh
    Year: 2010
    Abstract:

    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 

    Type: Journal Paper
    Author : محمد بلبلیان قالی باف; وحید فکور; حسنعلی آذرنوش; Mohammad Bolbolian Ghalibaf; Vahid Fakoor; Hassan Ali Azarnoosh
    Year: 2011
    Abstract:

    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 

    Type: Journal Paper
    Author : محمد بلبلیان قالی باف; وحید فکور; حسنعلی آذرنوش; Mohammad Bolbolian Ghalibaf; Vahid Fakoor; Hassan Ali Azarnoosh
    Year: 2012
    Abstract:

    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 

    Type: Journal Paper
    Author : محمد بلبلیان قالی باف; نگار اقبال; محمد امینی; حسنعلی آذرنوش; ابوالقاسم بزرگ نیا; Mohammad Bolbolian Ghalibaf; negar eghbal; Mohammad Amini; Hassan Ali Azarnoosh; Abolghasem Bozorgnia
    Year: 2010
    Abstract:

    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 ...

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