In economics, the Gini coefficient, known as the Gini index or Gini ratio, is a measure of statistical dispersion intended to represent the income inequality or the wealth inequality within a nation or a social group.
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In economics, the Gini coefficient, known as the Gini index or Gini ratio, is a measure of statistical dispersion intended to represent the income inequality or the wealth inequality within a nation or a social group.
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The Gini index coefficient was developed by the statistician and sociologist Corrado Gini index.
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Gini index coefficient was proposed by Corrado Gini index as a measure of inequality of income or wealth.
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Gini index coefficient was developed by the Italian statistician Corrado Gini index and published in his 1912 paper Variability and Mutability .
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Gini index coefficient is usually defined mathematically based on the Lorenz curve, which plots the proportion of the total income of the population that is cumulatively earned by the bottom x of the population .
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Since the Gini index coefficient is half the relative mean absolute difference, it can be calculated using formulas for the relative mean absolute difference.
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Gini index coefficient calculated from a sample is a statistic, and its standard error, or confidence intervals for the population Gini index coefficient, should be reported.
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The insight of this generalised inequality Gini index is that inequality indices differ because they employ different functions of the distance of the inequality ratios from 1.
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Gini index coefficient is widely used in fields as diverse as sociology, economics, health science, ecology, engineering, and agriculture.
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Education Gini index estimates the inequality in education for a given population.
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In other words, the Shorrocks Gini index compares inequality of short-term earnings, such as the annual income of households, to inequality of long-term earnings, such as 5-year or 10-year total income for the same households.
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Gini index coefficient has features that make it useful as a measure of dispersion in a population, and inequalities in particular.
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Gini index coefficients are simple, and this simplicity can lead to oversights and can confuse the comparison of different populations; for example, while both Bangladesh and the Netherlands had an income Gini index coefficient of 0.
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Deininger and Squire show that the income Gini index coefficient based on individual income rather than household income is different.
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The theoretical model of the Gini index coefficient is limited to accepting correct or incorrect subjective assumptions.
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Gini index is related to the Pietra index — both of which measure statistical heterogeneity and are derived from the Lorenz curve and the diagonal line.
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In certain fields such as ecology, inverse Simpson's Gini index is used to quantify diversity, and this should not be confused with the Simpson Gini index.
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Since diversity indices typically increase with increasing heterogeneity, the Simpson index is often transformed into inverse Simpson, or using the complement, known as the Gini-Simpson Index.
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For example, in ecology, the Gini index coefficient has been used as a measure of biodiversity, where the cumulative proportion of species is plotted against the cumulative proportion of individuals.
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Gini index coefficient is sometimes used for the measurement of the discriminatory power of rating systems in credit risk management.
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Gini index coefficient has been applied to analyze inequality in dating apps.
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