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Economics. In economics, the Gini coefficient (/ ˈdʒiːni / JEE-nee), also known as the Gini index or Gini ratio, is a measure of statistical dispersion intended to represent the income inequality, the wealth inequality, or the consumption inequality [3] within a nation or a social group. It was developed by Italian statistician and ...
Income inequality metrics. Income inequality metrics or income distribution metrics are used by social scientists to measure the distribution of income and economic inequality among the participants in a particular economy, such as that of a specific country or of the world in general. While different theories may try to explain how income ...
Lorenz curve. In economics, the Lorenz curve is a graphical representation of the distribution of income or of wealth. It was developed by Max O. Lorenz in 1905 for representing inequality of the wealth distribution. The curve is a graph showing the proportion of overall income or wealth assumed by the bottom x % of the people, although this is ...
Atkinson index. The Atkinson index (also known as the Atkinson measure or Atkinson inequality measure) is a measure of income inequality developed by British economist Anthony Barnes Atkinson. The measure is useful in determining which end of the distribution contributed most to the observed inequality. [1]
The coefficient of variation fulfills the requirements for a measure of economic inequality. [20] [21] [22] If x (with entries x i) is a list of the values of an economic indicator (e.g. wealth), with x i being the wealth of agent i, then the following requirements are met: Anonymity – c v is independent of the ordering of the list x.
Visual proof that (x + y)2 ≥ 4xy. Taking square roots and dividing by two gives the AM–GM inequality. [1] In mathematics, the inequality of arithmetic and geometric means, or more briefly the AM–GM inequality, states that the arithmetic mean of a list of non-negative real numbers is greater than or equal to the geometric mean of the same ...
Chebyshev's inequality. In probability theory, Chebyshev's inequality (also called the Bienaymé–Chebyshev inequality) provides an upper bound on the probability of deviation of a random variable (with finite variance) from its mean. More specifically, the probability that a random variable deviates from its mean by more than is at most ...
Financial inequality was greater than inequality in total wealth, with the top 1% of the population owning 42.7%, the next 19% of Americans owning 50.3%, and the bottom 80% owning 7%. [39] However, after the Great Recession which started in 2007, the share of total wealth owned by the top 1% of the population grew from 34.6% to 37.1%, and that ...