# A note on a property of the Gini coefficient

Communications in Mathematics (2019)

- Volume: 27, Issue: 2, page 81-88
- ISSN: 1804-1388

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topGenčev, Marian. "A note on a property of the Gini coefficient." Communications in Mathematics 27.2 (2019): 81-88. <http://eudml.org/doc/295024>.

@article{Genčev2019,

abstract = {The scope of this note is a self-contained presentation of a mathematical method that enables us to give an absolute upper bound for the difference of the Gini coefficients \[ \left|G(\sigma \_1,\dots ,\sigma \_n)-G(\gamma \_1,\dots ,\gamma \_n)\right|, \]
where $(\gamma _1,\dots ,\gamma _n)$ represents the vector of the gross wages and $(\sigma _1,\dots ,\sigma _n)$ represents the vector of the corresponding super-gross wages that is used in the Czech Republic for calculating the net wage. Since (as of June 2019) $\sigma _i=100\cdot \left\lceil 1.34\gamma _i/100\right\rceil $, the study of the above difference seems to be somewhat inaccessible for many economists. However, our estimate based on the presented technique implies that the introduction of the super-gross wage concept does not essentially affect the value of the Gini coefficient as sometimes expected.},

author = {Genčev, Marian},

journal = {Communications in Mathematics},

keywords = {Gini coefficient; finite sums; estimates},

language = {eng},

number = {2},

pages = {81-88},

publisher = {University of Ostrava},

title = {A note on a property of the Gini coefficient},

url = {http://eudml.org/doc/295024},

volume = {27},

year = {2019},

}

TY - JOUR

AU - Genčev, Marian

TI - A note on a property of the Gini coefficient

JO - Communications in Mathematics

PY - 2019

PB - University of Ostrava

VL - 27

IS - 2

SP - 81

EP - 88

AB - The scope of this note is a self-contained presentation of a mathematical method that enables us to give an absolute upper bound for the difference of the Gini coefficients \[ \left|G(\sigma _1,\dots ,\sigma _n)-G(\gamma _1,\dots ,\gamma _n)\right|, \]
where $(\gamma _1,\dots ,\gamma _n)$ represents the vector of the gross wages and $(\sigma _1,\dots ,\sigma _n)$ represents the vector of the corresponding super-gross wages that is used in the Czech Republic for calculating the net wage. Since (as of June 2019) $\sigma _i=100\cdot \left\lceil 1.34\gamma _i/100\right\rceil $, the study of the above difference seems to be somewhat inaccessible for many economists. However, our estimate based on the presented technique implies that the introduction of the super-gross wage concept does not essentially affect the value of the Gini coefficient as sometimes expected.

LA - eng

KW - Gini coefficient; finite sums; estimates

UR - http://eudml.org/doc/295024

ER -

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