THE CONSTRUCTION OF THE LORENZ CURVE AND ESTIMATION OF INDICATORS OF DIFFERENTIATION OF MONETARY INCOMES OF POPULATION BASED ON EXPONENTIAL DISTRIBUTION

The article discusses the use of the two-parameter exponential distribution function to construct the Lorenz curve and to calculate such indicators of differentiation of population by income, as the Gini coeficient, Rainbow coeficient, Funds coeficient etc. It is shown that all these coeficients dep...

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Autores principales: V. Lebedev, K. Lebedev
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Lenguaje:RU
Publicado: Publishing House of the State University of Management 2018
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spelling oai:doaj.org-article:4bde66a47b204846a47ba650b25fb6b42021-12-03T07:43:24ZTHE CONSTRUCTION OF THE LORENZ CURVE AND ESTIMATION OF INDICATORS OF DIFFERENTIATION OF MONETARY INCOMES OF POPULATION BASED ON EXPONENTIAL DISTRIBUTION1816-42772686-841510.26425/1816-4277-2018-1-141-148https://doaj.org/article/4bde66a47b204846a47ba650b25fb6b42018-01-01T00:00:00Zhttps://vestnik.guu.ru/jour/article/view/929https://doaj.org/toc/1816-4277https://doaj.org/toc/2686-8415The article discusses the use of the two-parameter exponential distribution function to construct the Lorenz curve and to calculate such indicators of differentiation of population by income, as the Gini coeficient, Rainbow coeficient, Funds coeficient etc. It is shown that all these coeficients depend on the ratio of two parameters: the minimum and the average per capita monetary incomes of the population. For a quantitative estimation of the parameters of the distribution function numerical methods of solving the problem of minimization of different criteria of the proximity of theoretical curve and statistical data were used.V. LebedevK. LebedevPublishing House of the State University of Managementarticleincomespopulationdistribution functionlorenz curvegini coeficientrainbow coeficientfunds coeficientSociology (General)HM401-1281Economics as a scienceHB71-74RUВестник университета, Vol 0, Iss 1, Pp 141-148 (2018)
institution DOAJ
collection DOAJ
language RU
topic incomes
population
distribution function
lorenz curve
gini coeficient
rainbow coeficient
funds coeficient
Sociology (General)
HM401-1281
Economics as a science
HB71-74
spellingShingle incomes
population
distribution function
lorenz curve
gini coeficient
rainbow coeficient
funds coeficient
Sociology (General)
HM401-1281
Economics as a science
HB71-74
V. Lebedev
K. Lebedev
THE CONSTRUCTION OF THE LORENZ CURVE AND ESTIMATION OF INDICATORS OF DIFFERENTIATION OF MONETARY INCOMES OF POPULATION BASED ON EXPONENTIAL DISTRIBUTION
description The article discusses the use of the two-parameter exponential distribution function to construct the Lorenz curve and to calculate such indicators of differentiation of population by income, as the Gini coeficient, Rainbow coeficient, Funds coeficient etc. It is shown that all these coeficients depend on the ratio of two parameters: the minimum and the average per capita monetary incomes of the population. For a quantitative estimation of the parameters of the distribution function numerical methods of solving the problem of minimization of different criteria of the proximity of theoretical curve and statistical data were used.
format article
author V. Lebedev
K. Lebedev
author_facet V. Lebedev
K. Lebedev
author_sort V. Lebedev
title THE CONSTRUCTION OF THE LORENZ CURVE AND ESTIMATION OF INDICATORS OF DIFFERENTIATION OF MONETARY INCOMES OF POPULATION BASED ON EXPONENTIAL DISTRIBUTION
title_short THE CONSTRUCTION OF THE LORENZ CURVE AND ESTIMATION OF INDICATORS OF DIFFERENTIATION OF MONETARY INCOMES OF POPULATION BASED ON EXPONENTIAL DISTRIBUTION
title_full THE CONSTRUCTION OF THE LORENZ CURVE AND ESTIMATION OF INDICATORS OF DIFFERENTIATION OF MONETARY INCOMES OF POPULATION BASED ON EXPONENTIAL DISTRIBUTION
title_fullStr THE CONSTRUCTION OF THE LORENZ CURVE AND ESTIMATION OF INDICATORS OF DIFFERENTIATION OF MONETARY INCOMES OF POPULATION BASED ON EXPONENTIAL DISTRIBUTION
title_full_unstemmed THE CONSTRUCTION OF THE LORENZ CURVE AND ESTIMATION OF INDICATORS OF DIFFERENTIATION OF MONETARY INCOMES OF POPULATION BASED ON EXPONENTIAL DISTRIBUTION
title_sort construction of the lorenz curve and estimation of indicators of differentiation of monetary incomes of population based on exponential distribution
publisher Publishing House of the State University of Management
publishDate 2018
url https://doaj.org/article/4bde66a47b204846a47ba650b25fb6b4
work_keys_str_mv AT vlebedev theconstructionofthelorenzcurveandestimationofindicatorsofdifferentiationofmonetaryincomesofpopulationbasedonexponentialdistribution
AT klebedev theconstructionofthelorenzcurveandestimationofindicatorsofdifferentiationofmonetaryincomesofpopulationbasedonexponentialdistribution
AT vlebedev constructionofthelorenzcurveandestimationofindicatorsofdifferentiationofmonetaryincomesofpopulationbasedonexponentialdistribution
AT klebedev constructionofthelorenzcurveandestimationofindicatorsofdifferentiationofmonetaryincomesofpopulationbasedonexponentialdistribution
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