Asymptotic behaviors of the Lorenz curve for left truncated and dependent data
نویسنده:
, , , , ,سال
: 2012
چکیده: 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.
کلیدواژه(گان): Law of the iterated logarithm,Lorenz curve,Strong Gaussian approximation,Strong mixing,Truncated data
کالکشن
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آمار بازدید
Asymptotic behaviors of the Lorenz curve for left truncated and dependent data
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contributor author | محمد بلبلیان قالی باف | en |
contributor author | وحید فکور | en |
contributor author | حسنعلی آذرنوش | en |
contributor author | Mohammad Bolbolian Ghalibaf | fa |
contributor author | Vahid Fakoor | fa |
contributor author | Hassan Ali Azarnoosh | fa |
date accessioned | 2020-06-06T13:09:45Z | |
date available | 2020-06-06T13:09:45Z | |
date issued | 2012 | |
identifier uri | http://libsearch.um.ac.ir:80/fum/handle/fum/3344065 | |
description 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. 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. | en |
language | English | |
title | Asymptotic behaviors of the Lorenz curve for left truncated and dependent data | en |
type | Journal Paper | |
contenttype | External Fulltext | |
subject keywords | Law of the iterated logarithm | en |
subject keywords | Lorenz curve | en |
subject keywords | Strong Gaussian approximation | en |
subject keywords | Strong mixing | en |
subject keywords | Truncated data | en |
journal title | Journal of Sciences-Islamic Republic of Iran | en |
journal title | Journal of Sciences, Islamic Republic of Iran | fa |
pages | 171-177 | |
journal volume | 23 | |
journal issue | 2 | |
identifier link | https://profdoc.um.ac.ir/paper-abstract-1030383.html | |
identifier articleid | 1030383 |