Iranian Journal of Science, Volume (47), Year (2023-12) , Pages (1617-1631)

Title : ( Empirical Likelihood Confidence Intervals for Lorenz Curve with Length-Biased Data )

Authors: mahdiyeh vejdanimahmoodi , Abdolhamid Rezaei Roknabadi , Vahid Fakoor , Sara Jomhoori ,

Citation: BibTeX | EndNote

Abstract

The Lorenz curve (LC) is the most fundamental and remarkable tool for processing the size distribution of income and wealth. The LC method is applied as a means to describe distributional consideration in economic analysis. On the other hand, the importance of the biased sampling problem has been well-recognized in statistics and econometrics. In this paper, the empirical likelihood (EL) procedure is proposed to make inferences about the LC in the length-biased setting. The limiting distribution of the EL-based log-likelihood ratio leads to a scaled Chi-square. This limiting distribution will be utilized to construct the EL ratio confidence interval for the LC. Another EL-based confidence interval is proposed by using the influence function method. Simulation studies are conducted to compare the performances of these EL-based confi- dence intervals with their counterparts in terms of coverage probability and average length. Real data analysis has been used to illustrate the theoretical results

Keywords

, Confidence intervalو Empirical likelihoodو Length, biased dataو Lorenz curve
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@article{paperid:1095645,
author = {Vejdanimahmoodi, Mahdiyeh and Rezaei Roknabadi, Abdolhamid and Fakoor, Vahid and Sara Jomhoori},
title = {Empirical Likelihood Confidence Intervals for Lorenz Curve with Length-Biased Data},
journal = {Iranian Journal of Science},
year = {2023},
volume = {47},
month = {December},
issn = {2731-8095},
pages = {1617--1631},
numpages = {14},
keywords = {Confidence intervalو Empirical likelihoodو Length-biased dataو Lorenz curve},
}

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%0 Journal Article
%T Empirical Likelihood Confidence Intervals for Lorenz Curve with Length-Biased Data
%A Vejdanimahmoodi, Mahdiyeh
%A Rezaei Roknabadi, Abdolhamid
%A Fakoor, Vahid
%A Sara Jomhoori
%J Iranian Journal of Science
%@ 2731-8095
%D 2023

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