Investigating the Income Status of Isfahan Province Using a Parametric Approach: 2011-2021

The purpose of this article is to investigate the distribution of household income in Isfahan province by using the data of the household income and expenditure plan, for the period of 2011-2021 using parametric methods. For this purpose, different statistical distributions are fitted to the data, a...

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Main Authors: Hamed Lorvand, MohammadReza Lali
Format: Article
Language:fas
Published: Development and Foresight Research Center 2023-11-01
Series:پژوهش‌های برنامه و توسعه
Subjects:
Online Access:https://www.journaldfrc.ir/article_189715_b8fc08310d6893e0285441b837e1a86d.pdf
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author Hamed Lorvand
MohammadReza Lali
author_facet Hamed Lorvand
MohammadReza Lali
author_sort Hamed Lorvand
collection DOAJ
description The purpose of this article is to investigate the distribution of household income in Isfahan province by using the data of the household income and expenditure plan, for the period of 2011-2021 using parametric methods. For this purpose, different statistical distributions are fitted to the data, and distribution parameters are estimated using the maximum likelihood estimation method. Then, the appropriate distribution is selected using distribution function graphs and Akaike's criterion (AIC). By comparing the graphs of distribution functions from 2011 to 2021 for the data, the results show that among all the distributions, the Dagum and Gamma distributions are more suitable than other distributions, including log-normal and exponential distributions. Also, the amount of AIC from 2011 to 2021 for the Dagum distribution takes the lowest values compared to other distributions, which also shows the superiority of the Dagum distribution over other distributions. Also, the investigation of the trend and comparison of Gini coefficients in non-parametric and parametric modes indicates that along with the decreasing trend of the Gini coefficient in Isfahan province during the period under review, the values of the Gini coefficient in the parametric method based on the Kolmogorov-Smirnov statistic are more reliable. Therefore, it is suggested that those responsible for producing the income inequality index change their calculation basis from the non-parametric method to the parametric method, considering the high accuracy of the parametric methods.
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spelling doaj.art-66eeea78ea3d467fae25d88ecaf451332024-03-06T08:27:41ZfasDevelopment and Foresight Research Centerپژوهش‌های برنامه و توسعه2645-74662717-03652023-11-014315117310.22034/pbr.2023.189715189715Investigating the Income Status of Isfahan Province Using a Parametric Approach: 2011-2021Hamed Lorvand0MohammadReza Lali1Assistant Professor, Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran .PhD in Economics, Plan and Budget Organization of Esfahan, Esfahan, Iran.The purpose of this article is to investigate the distribution of household income in Isfahan province by using the data of the household income and expenditure plan, for the period of 2011-2021 using parametric methods. For this purpose, different statistical distributions are fitted to the data, and distribution parameters are estimated using the maximum likelihood estimation method. Then, the appropriate distribution is selected using distribution function graphs and Akaike's criterion (AIC). By comparing the graphs of distribution functions from 2011 to 2021 for the data, the results show that among all the distributions, the Dagum and Gamma distributions are more suitable than other distributions, including log-normal and exponential distributions. Also, the amount of AIC from 2011 to 2021 for the Dagum distribution takes the lowest values compared to other distributions, which also shows the superiority of the Dagum distribution over other distributions. Also, the investigation of the trend and comparison of Gini coefficients in non-parametric and parametric modes indicates that along with the decreasing trend of the Gini coefficient in Isfahan province during the period under review, the values of the Gini coefficient in the parametric method based on the Kolmogorov-Smirnov statistic are more reliable. Therefore, it is suggested that those responsible for producing the income inequality index change their calculation basis from the non-parametric method to the parametric method, considering the high accuracy of the parametric methods.https://www.journaldfrc.ir/article_189715_b8fc08310d6893e0285441b837e1a86d.pdfincome distributiongini coefficientgamma distributiondagum distributionaic criterion
spellingShingle Hamed Lorvand
MohammadReza Lali
Investigating the Income Status of Isfahan Province Using a Parametric Approach: 2011-2021
پژوهش‌های برنامه و توسعه
income distribution
gini coefficient
gamma distribution
dagum distribution
aic criterion
title Investigating the Income Status of Isfahan Province Using a Parametric Approach: 2011-2021
title_full Investigating the Income Status of Isfahan Province Using a Parametric Approach: 2011-2021
title_fullStr Investigating the Income Status of Isfahan Province Using a Parametric Approach: 2011-2021
title_full_unstemmed Investigating the Income Status of Isfahan Province Using a Parametric Approach: 2011-2021
title_short Investigating the Income Status of Isfahan Province Using a Parametric Approach: 2011-2021
title_sort investigating the income status of isfahan province using a parametric approach 2011 2021
topic income distribution
gini coefficient
gamma distribution
dagum distribution
aic criterion
url https://www.journaldfrc.ir/article_189715_b8fc08310d6893e0285441b837e1a86d.pdf
work_keys_str_mv AT hamedlorvand investigatingtheincomestatusofisfahanprovinceusingaparametricapproach20112021
AT mohammadrezalali investigatingtheincomestatusofisfahanprovinceusingaparametricapproach20112021